-
1
-
-
0346263302
-
Encoding and decoding of p-ary group codes and the correction system
-
(in Japanese)
-
S. Arimoto, Encoding and Decoding of p-ary Group Codes and the Correction System, Information Processing in Japan, vol. 2, pp. 320–325, 1961 (in Japanese).
-
(1961)
Information Processing in Japan
, vol.2
, pp. 320-325
-
-
Arimoto, S.1
-
2
-
-
0016084166
-
Coding and combinatorics
-
E. F. Assmus, Jr. and H. F. Mattson, Jr., Coding and Combinatorics, SIAM Review, vol. 16, pp. 349–388, 1974.
-
(1974)
SIAM Review
, vol.16
, pp. 349-388
-
-
Assmus, E.F.1
Mattson, H.F.2
-
3
-
-
84926970065
-
-
Air Force Cambridge Research Laboratories, Bedford, MA
-
E. F. Assmus, Jr., H. F. Mattson, Jr., and R. J. Turyn, Cyclic Codes, Report AFCRL-65-332, Air Force Cambridge Research Laboratories, Bedford, MA, 1965.
-
(1965)
Cyclic Codes, Report AFCRL-65-332
-
-
Assmus, E.F.1
Mattson, H.F.2
Turyn, R.J.3
-
4
-
-
33747101650
-
-
Air Force Cambridge Research Laboratories, Bedford, MA
-
E. F. Assmus, Jr., H. F. Mattson, Jr., and R. J. Turyn, Research to Develop the Algebraic Theory of Codes, Report AFCRL-67-0365, Air Force Cambridge Research Laboratories, Bedford, MA, 1967.
-
(1967)
Research to Develop the Algebraic Theory of Codes
-
-
Assmus, E.F.1
Mattson, H.F.2
Turyn, R.J.3
-
5
-
-
0346263302
-
Encoding and decoding of p-ary group codes and the correction system
-
S. Arimoto, Encoding and Decoding of p-ary Group Codes and the Correction System, Information Processing in Japan, (in Japanese), vol. 2, pp. 320–325, 1961.
-
(1961)
Information Processing in Japan
, vol.2
, pp. 320-325
-
-
Arimoto, S.1
-
7
-
-
0015020314
-
Codingtheory and the mathieu groups
-
E. R. Berlekamp, CodingTheory and the Mathieu Groups, Information and Control, vol. 18, pp. 40–64, 1971.
-
(1971)
Information and Control
, vol.18
, pp. 40-64
-
-
Berlekamp, E.R.1
-
8
-
-
0030150111
-
Bounded distance +1 soft-decision reed–solomon decoding
-
E. R. Berlekamp, Bounded Distance +1 Soft-Decision Reed–Solomon Decoding, IEEE Transactions on Information Theory, vol. IT-42, pp. 704–720, 1996.
-
(1996)
IEEE Transactions on Information Theory
, vol.IT-42
, pp. 704-720
-
-
Berlekamp, E.R.1
-
9
-
-
0003313967
-
Ahypersystolic reed–solomon decoder
-
B. Wicker and V. K. Bhargava, editors, IEEE Press
-
E. R. Berlekamp, G. Seroussi, and P. Tong, AHypersystolic Reed–Solomon Decoder, in Reed–Solomon Codes and Their Applications, S. B. Wicker and V. K. Bhargava, editors, IEEE Press, 1994.
-
Reed–Solomon Codes and Their Applications
, pp. 1994
-
-
Berlekamp, E.R.1
Seroussi, G.2
Tong, P.3
-
10
-
-
0002884078
-
Sur le degré des équations résultantes de l’évanouissement des inconnus
-
Paris
-
E. Bézout, Sur le degré des équations résultantes de l’évanouissement des inconnus, Histoire de l’Académie Royale des Sciences, anneé 1764, pp. 288–338, Paris, 1767.
-
(1767)
Histoire De l’Académie Royale Des Sciences
, pp. 288-338
-
-
Bézout, E.1
-
11
-
-
84927100138
-
Bézout, théorie générale des équation algébriques
-
E
-
E. Bézout, Théorie générale des équation algébriques, Paris, 1770.
-
(1770)
Paris
-
-
-
14
-
-
84926970064
-
-
Bahia, Brazil
-
R. E. Blahut, Algebraic Geometry Codes without Algebraic Geometry, IEEE Information Theory Workshop, Salvador, Bahia, Brazil, 1992.
-
(1992)
Algebraic Geometry Codes without Algebraic Geometry, Ieee Information Theory Workshop, Salvador
-
-
Blahut, R.E.1
-
17
-
-
0029179331
-
-
British Columbia, Canada
-
R. E. Blahut, On Codes Containing Hermitian Codes, Proceedings of the 1995 IEEE International Symposium on Information Theory, Whistler, British Columbia, Canada, 1995.
-
(1995)
On Codes Containing Hermitian Codes, Proceedings of the 1995 IEEE International Symposium on Information Theory, Whistler
-
-
Blahut, R.E.1
-
20
-
-
0018467806
-
Transform techniques for error-control codes
-
R. E. Blahut, Transform Techniques for Error-Control Codes, IBM Journal of Research and Development, vol. 23, pp. 299–315, 1979.
-
(1979)
IBM Journal of Research and Development
, vol.23
, pp. 299-315
-
-
Blahut, R.E.1
-
21
-
-
0015345949
-
Codes over certain rings
-
I. F. Blake, Codes over Certain Rings, Information and Control, vol. 20, pp. 396–404, 1972.
-
(1972)
Information and Control
, vol.20
, pp. 396-404
-
-
Blake, I.F.1
-
22
-
-
0032183464
-
Algebraic geometry codes, ieee transactions on information theory, vol
-
I. F. Blake, C. Heegard, T. Høholdt, and V. Wei, Algebraic Geometry Codes, IEEE Transactions on Information Theory, vol. IT-44, pp. 2596–2618, 1998.
-
(1998)
IT-44
, pp. 2596-2618
-
-
Blake, I.F.1
Heegard, C.2
Høholdt, T.3
Wei, V.4
-
24
-
-
50549175697
-
On a class of error correcting binary group codes
-
R. C. Bose and D. K. Ray-Chaudhuri, On a Class of Error Correcting Binary Group Codes, Information and Control, vol. 3, pp. 68–79, 1960.
-
(1960)
Information and Control
, vol.3
, pp. 68-79
-
-
Bose, R.C.1
Ray-Chaudhuri, D.K.2
-
26
-
-
0002803133
-
An algorithmic method in polynomial ideal theory
-
Theory, N. K. Bose, editor, D. Reidel Publishing Company
-
B. Buchberger, Gröbner Bases: An Algorithmic Method in Polynomial Ideal Theory, in Multidimensional Systems Theory, N. K. Bose, editor, D. Reidel Publishing Company, pp. 184–232, 1985.
-
(1985)
Multidimensional Systems
, pp. 184-232
-
-
Buchberger, B.1
Bases, G.2
-
27
-
-
0000520343
-
Construction of a (64, 237, 12) code via galois rings
-
A. R. Calderbank and G. McGuire, Construction of a (64, 237, 12) Code via Galois Rings, Designs, Codes, and Cryptography, vol. 10, pp. 157–165, 1997.
-
(1997)
Designs, Codes, and Cryptography
, vol.10
, pp. 157-165
-
-
Calderbank, A.R.1
McGuire, G.2
-
28
-
-
0029774707
-
Cyclic codes over z4, locator polynomials, and newton’s identities
-
A. R. Calderbank, G. McGuire, P. V. Kumar, and T. Helleseth, Cyclic Codes over Z4, Locator Polynomials, and Newton’s Identities, IEEE Transactions on Information Theory, vol. IT-42, pp. 217–226, 1996.
-
(1996)
IEEE Transactions on Information Theory
, vol.IT-42
, pp. 217-226
-
-
Calderbank, A.R.1
McGuire, G.2
Kumar, P.V.3
Helleseth, T.4
-
29
-
-
4243220448
-
-
Ph.D. Dissertation, Stanford University, Stanford, CA
-
T. K. Citron, Algorithms and Architectures for Error Correcting Codes, Ph.D. Dissertation, Stanford University, Stanford, CA, 1986.
-
(1986)
Algorithms and Architectures for Error Correcting Codes
-
-
Citron, T.K.1
-
30
-
-
0003643241
-
-
Second Edition, Springer-Verlag, New York
-
J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices, and Groups, Second Edition, Springer-Verlag, New York, 1992.
-
(1992)
Sphere packings, lattices, and groups
-
-
Conway, J.H.1
Sloane, N.J.2
-
32
-
-
0003908675
-
-
Springer-Verlag, New York
-
D. Cox, J. Little, and D. O’Shea, Ideals, Varieties, and Algorithms, Springer-Verlag, New York, 1992.
-
(1992)
Ideals, Varieties, and Algorithms
-
-
Cox, D.1
Little, J.2
O’Shea, D.3
-
34
-
-
0029345539
-
Fast parallel algorithms for decoding reed–solomon codes based on remainder polynomials
-
D. Dabiri and I. F. Blake, Fast Parallel Algorithms for Decoding Reed–Solomon Codes Based on Remainder Polynomials, IEEE Transactions on Information Theory, vol. IT-41, pp. 873–885, 1995.
-
(1995)
IEEE Transactions on Information Theory
, vol.IT-41
, pp. 873-885
-
-
Dabiri, D.1
Blake, I.F.2
-
35
-
-
0015735548
-
Four fundamental parameters of a code and their combinatorial significance
-
P. Delsarte, Four Fundamental Parameters of a Code and Their Combinatorial Significance, Information and Control, vol. 27, pp. 407–438, 1973.
-
(1973)
Information and Control
, vol.27
, pp. 407-438
-
-
Delsarte, P.1
-
36
-
-
0016554120
-
On subfield subcodes of modified reed–solomon codes
-
P. Delsarte, On Subfield Subcodes of Modified Reed–Solomon Codes, IEEE Transactions on Information Theory, vol. IT-21, pp. 575–576, 1975.
-
(1975)
IEEE Transactions on Information Theory
, vol.IT-21
, pp. 575-576
-
-
Delsarte, P.1
-
37
-
-
0000709547
-
Finiteness of the odd perfect and primitive abundant numbers with n distinct prime factors
-
L. E. Dickson, Finiteness of the Odd Perfect and Primitive Abundant Numbers with n Distinct Prime Factors, American Journal of Mathematics, vol. 35, pp. 413–422, 1913.
-
(1913)
American Journal of Mathematics
, vol.35
, pp. 413-422
-
-
Dickson, L.E.1
-
38
-
-
0023346708
-
On the equivalence between berlekamp’s and euclid’s algorithms
-
J. L. Dornstetter, On the Equivalence Between Berlekamp’s and Euclid’s Algorithms, IEEE Transactions on Information Theory, vol. IT-33, pp. 428–431, 1987.
-
(1987)
IEEE Transactions on Information Theory
, vol.IT-33
, pp. 428-431
-
-
Dornstetter, J.L.1
-
39
-
-
85032400653
-
Number of points on analgebraic curve
-
V. G. Drinfeld and S. G. Vlǎdut, Number of Points on anAlgebraic Curve, Functional Analysis, vol. 17, pp. 53–54, 1993.
-
(1993)
Functional Analysis
, vol.17
, pp. 53-54
-
-
Drinfeld, V.G.1
Vlǎdut, S.G.2
-
41
-
-
0027560622
-
Algebraic decoding using special divisors
-
I. M. Duursma, Algebraic Decoding Using Special Divisors, IEEE Transactions on Information Theory, vol. IT-39, pp. 694–698, 1993b.
-
(1993)
IEEE Transactions on Information Theory
, vol.IT-39
, pp. 694-698
-
-
Duursma, I.M.1
-
43
-
-
0027596957
-
Achieving the designed error capacity in decoding algebraic-geometric codes
-
D. Ehrhard, Achieving the Designed Error Capacity in Decoding Algebraic-Geometric Codes, IEEE Transactions on Information Theory, vol. IT-39, pp. 743–751, 1993.
-
(1993)
IEEE Transactions on Information Theory
, vol.IT-39
, pp. 743-751
-
-
Ehrhard, D.1
-
44
-
-
15044357859
-
A simple algorithm for decoding reed–solomon codes and its relation to the welch–berlekamp algorithm
-
S. V. Fedorenko, A Simple Algorithm for Decoding Reed–Solomon Codes and its Relation to the Welch–Berlekamp Algorithm, IEEE Transactions on Information Theory, vol. IT-51, pp. 1196– 1198, 2005.
-
(2005)
IEEE Transactions on Information Theory
, vol.IT-51
-
-
Fedorenko, S.V.1
-
45
-
-
0001398247
-
A self dual even (96, 48, 16) code
-
W. Feit, A Self Dual Even (96, 48, 16) Code, IEEE Transactions on Information Theory, vol. IT-20, pp. 136–138, 1974.
-
(1974)
IEEE Transactions on Information Theory
, vol.IT-20
, pp. 136-138
-
-
Feit, W.1
-
46
-
-
0027311434
-
Decoding algebraic-geometric codes up to the designed minimum distance
-
G.-L. Feng and T. R. N. Rao, Decoding Algebraic-Geometric Codes up to the Designed Minimum Distance, IEEE Transactions on Information Theory, vol. IT-39, pp. 37–45, 1993.
-
(1993)
IEEE Transactions on Information Theory
, vol.IT-39
, pp. 37-45
-
-
Feng, G.-L.1
Rao, T.R.2
-
47
-
-
0028460899
-
A simple approach for construction of algebraic-geometric codes from affine plane curves
-
G.-L. Feng and T. R. N. Rao, A Simple Approach for Construction of Algebraic-Geometric Codes From Affine Plane Curves, IEEE Transactions on Information Theory, vol. IT-40, pp. 1003–1012, 1994.
-
(1994)
IEEE Transactions on Information Theory
, vol.IT-40
, pp. 1003-1012
-
-
Feng, G.-L.1
Rao, T.R.2
-
48
-
-
0000602950
-
Improved geometric goppa codes, part i, basic theory
-
G.-L. Feng and T. R. N. Rao, Improved Geometric Goppa Codes, Part I, Basic Theory, IEEE Transactions on Information Theory, vol. IT-41, pp. 1678–1693, 1995.
-
(1995)
IEEE Transactions on Information Theory
, vol.IT-41
, pp. 1678-1693
-
-
Feng, G.-L.1
Rao, T.R.2
-
49
-
-
0028463540
-
Simplified understanding and effect decoding of a class of algebraic-geometric codes
-
G.-L. Feng, V. K. Wei, T. R. N. Rao, and K. K. Tzeng, Simplified Understanding and Effect Decoding of a Class of Algebraic-Geometric Codes, IEEE Transactions on Information Theory, vol. 40, pp. 981–1002, 1994.
-
(1994)
IEEE Transactions on Information Theory
, vol.40
, pp. 981-1002
-
-
Feng, G.-L.1
Wei, V.K.2
Rao, T.R.3
Tzeng, K.K.4
-
55
-
-
0004137776
-
-
The M.I.T. Press, Cambridge, MA
-
G. D. Forney, Jr., Concatenated Codes, The M.I.T. Press, Cambridge, MA, 1966.
-
(1966)
Concatenated Codes
-
-
Forney, G.D.1
-
56
-
-
0003945988
-
Transforms and groups
-
A. Vardy, editor, Kluwer Academic, Norwell, MA
-
G. D. Forney, Jr., Transforms and Groups, in Codes, Curves, and Signals: Common Threads in Communication, A. Vardy, editor, Kluwer Academic, Norwell, MA, 1998.
-
(1998)
Codes, Curves, and Signals: Common Threads in Communication
-
-
Forney, G.D.1
-
57
-
-
0003068201
-
The nordstrom–robinson code is the binary image of the octacode, proceedings dimacs/ieee workshop on coding and quantization, dimacs series in discrete mathematics and theoretical computer science
-
G. D. Forney, Jr., N. J. A. Sloane, and M. D. Trott, The Nordstrom–Robinson code is the Binary Image of the Octacode, Proceedings DIMACS/IEEE Workshop on Coding and Quantization, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, American Mathematical Society, 1993.
-
(1993)
American Mathematical Society
-
-
Forney, G.D.1
Sloane, N.2
Trott, M.D.3
-
58
-
-
0004055957
-
-
Addison-Wesley, Reading, MA
-
W. Fulton, Algebraic Curves, Benjamin-Cummings, 1969; reprinted inAdvanced Book Classic Series, Addison-Wesley, Reading, MA, 1989.
-
(1989)
Algebraic Curves
-
-
Fulton, W.1
-
59
-
-
0042224372
-
Consecutive weierstrass gaps and minimum distance of goppa codes
-
A. Garcia, S. J. Kim, and R. F. Lax, Consecutive Weierstrass Gaps and Minimum Distance of Goppa Codes, Journal of Pure and Applied Algebra, vol. 84, pp. 199–207, 1993.
-
(1993)
Journal of Pure and Applied Algebra
, vol.84
, pp. 199-207
-
-
Garcia, A.1
Kim, S.J.2
Lax, R.F.3
-
60
-
-
0033898983
-
Footprints or generalized bézout’s theorem, ieee transactions on information theory, vol
-
O. Geil and T. Høholdt, Footprints or Generalized Bézout’s Theorem, IEEE Transactions on Information Theory, vol. IT-46, pp. 635–641, 2000.
-
(2000)
IT-46
, pp. 635-641
-
-
Geil, O.1
Høholdt, T.2
-
61
-
-
84927013457
-
On hyperbolic codes
-
Melbourne, November 2001, Springer LNCS
-
O. Geil and T. Høholdt, On Hyperbolic Codes, Proceedings of AAECC-14, Melbourne, November 2001, Springer LNCS, 2002.
-
(2002)
Proceedings of AAECC-14
-
-
Geil, O.1
Høholdt, T.2
-
62
-
-
0002268541
-
An algorithm for the evaluation of finite trigometric series
-
G. Goertzel, An Algorithm for the Evaluation of Finite Trigometric Series, American Mathematical Monthly, vol. 65, pp. 34–35, 1968.
-
(1968)
American Mathematical Monthly
, vol.65
, pp. 34-35
-
-
Goertzel, G.1
-
63
-
-
0016953735
-
Nonlinear codes defined by quadratic forms over gf(2)
-
J. M. Goethals, Nonlinear Codes Defined by Quadratic Forms Over GF(2), Information and Control, vol. 31, pp. 43–74, 1976.
-
(1976)
Information and Control
, vol.31
, pp. 43-74
-
-
Goethals, J.M.1
-
64
-
-
0000499681
-
Notes on digital coding
-
M. J. E. Golay, Notes on Digital Coding, Proceedings of the IRE, vol. 37, p. 657, 1949.
-
(1949)
Proceedings of the IRE
, vol.37
, pp. 657
-
-
Golay, M.1
-
65
-
-
0000819658
-
The interaction algorithm and practical fourier analysis, journal of the royal statistical society, vol. B20, pp
-
I. J. Good, The Interaction Algorithm and Practical Fourier Analysis, Journal of the Royal Statistical Society, vol. B20, pp. 361–375, 1958; addendum, vol. 22, pp. 372–375, 1960.
-
(1960)
361–375, 1958; Addendum
, vol.22
, pp. 372-375
-
-
Good, I.J.1
-
66
-
-
0001618196
-
A new class of linear error-correcting codes
-
V. D. Goppa, A New Class of Linear Error-Correcting Codes, Problemy Peredachi Informatsii, vol. 6, pp. 207–212, 1970.
-
(1970)
Problemy Peredachi Informatsii
, vol.6
, pp. 207-212
-
-
Goppa, V.D.1
-
67
-
-
0017385193
-
Codes associated with divisors, problemy peredachi informatsii, vol. 13, pp. 33–39, 1977;
-
V. D. Goppa, Codes Associated with Divisors, Problemy Peredachi Informatsii, vol. 13, pp. 33–39, 1977; Problems of Information Transmission, vol. 13, pp. 22–26, 1977.
-
(1977)
Problems of Information Transmission
, vol.13
, pp. 22-26
-
-
Goppa, V.D.1
-
68
-
-
0000942249
-
Codes on algebraic curves, doklady akad. Nauk sssr, vol. 259, pp. 1289–1290, 1981;
-
V. D. Goppa, Codes on Algebraic Curves, Doklady Akad. Nauk SSSR, vol. 259, pp. 1289–1290, 1981; Soviet Math. Doklady, vol. 24, pp. 170–172, 1981.
-
(1981)
Soviet Math. Doklady
, vol.24
, pp. 170-172
-
-
Goppa, V.D.1
-
70
-
-
84926979852
-
Two heuristic techniques for block code construction
-
M. W. Green, Two Heuristic Techniques for Block Code Construction, IEEE Transactions on Information Theory, vol. IT-12, p. 273, 1966.
-
(1966)
IEEE Transactions on Information Theory
, vol.IT-12
, pp. 273
-
-
Green, M.W.1
-
71
-
-
0033183669
-
Improved decoding of reed–solomon codes and algebraic geometry codes
-
V. Guruswami and M. Sudan, Improved Decoding of Reed–Solomon Codes and Algebraic Geometry Codes, IEEE Transactions on Information Theory, vol. IT-45, pp. 1757–1767, 1999.
-
(1999)
IEEE Transactions on Information Theory
, vol.IT-45
, pp. 1757-1767
-
-
Guruswami, V.1
Sudan, M.2
-
72
-
-
84943817322
-
Error detecting and error correcting codes
-
R. W. Hamming, Error Detecting and Error Correcting Codes, Bell System Technical Journal, vol. 29, pp. 147–160, 1950.
-
(1950)
Bell System Technical Journal
, vol.29
, pp. 147-160
-
-
Hamming, R.W.1
-
73
-
-
0028384429
-
The z4 -linearity of kerdock, preparata, goethals, and related codes
-
A. R. Hammons, Jr., P. V. Kumar, A. R. Calderbank, N. J. A. Sloane, and P. Solé, The Z4 -linearity of Kerdock, Preparata, Goethals, and Related Codes, IEEE Transactions on Information Theory, vol. IT-40, pp. 301–319, 1994.
-
(1994)
IEEE Transactions on Information Theory
, vol.IT-40
, pp. 301-319
-
-
Hammons, A.R.1
Kumar, P.V.2
Calderbank, A.R.3
Sloane, N.J.4
Solé, P.5
-
74
-
-
0023670382
-
Codes from the klein quartic, ideals and decoding
-
J. P. Hansen, Codes from the Klein Quartic, Ideals and Decoding, IEEE Transactions on Information Theory, vol. IT-33, pp. 923–925, 1987.
-
(1987)
IEEE Transactions on Information Theory
, vol.IT-33
, pp. 923-925
-
-
Hansen, J.P.1
-
76
-
-
33747450748
-
Determination of error values for algebraic-geometric codes and the forney formula
-
J. P. Hansen, H. E. Jensen, and R. Koetter, Determination of Error Values for Algebraic-Geometric Codes and the Forney Formula, IEEE Transactions on Information Theory, vol. IT-42, pp. 1263–1269, 1996.
-
(1996)
IEEE Transactions on Information Theory
, vol.IT-42
, pp. 1263-1269
-
-
Hansen, J.P.1
Jensen, H.E.2
Koetter, R.3
-
78
-
-
0015353103
-
Generalizations of the bch bound
-
C. R. P. Hartmann and K. K. Tzeng, Generalizations of the BCH Bound, Information and Control, vol. 20, pp. 489–498, 1972.
-
(1972)
Information and Control
, vol.20
, pp. 489-498
-
-
Hartmann, C.1
Tzeng, K.K.2
-
79
-
-
0001918069
-
Theorie der høheren differentiale in einem algebraischen funktionenkørper mit vollkomme-nen konstantenkørper bei beliebiger charakteristik
-
H. Hasse, Theorie der høheren Differentiale in einem algebraischen Funktionenkørper mit vollkomme-nen Konstantenkørper bei beliebiger Charakteristik, J. Reine & Angewandte Math., vol. 175, pp. 50–54, 1936.
-
(1936)
J. Reine & Angewandte Math
, vol.175
, pp. 50-54
-
-
Hasse, H.1
-
80
-
-
0006682556
-
Systematic encoding via gröbner bases for a class ofalgebraic geometric goppa codes
-
C. Heegard, J. H. Little, and K. Saints, Systematic Encoding via Gröbner Bases for a Class ofAlgebraic Geometric Goppa Codes, IEEE Transactions on Information Theory, vol. IT-41, 1995.
-
(1995)
IEEE Transactions on Information Theory
, vol.IT-41
-
-
Heegard, C.1
Little, J.H.2
Saints, K.3
-
83
-
-
0034316125
-
On the equivalence of the berlekamp–massey and the euclidian algorithm for decoding
-
A. E. Heydtmann and J. M. Jensen, On the Equivalence of the Berlekamp–Massey and the Euclidian Algorithm for Decoding, IEEE Transactions on Information Theory, vol. IT-46, pp. 2614–2624, 2000.
-
(2000)
IEEE Transactions on Information Theory
, vol.IT-46
, pp. 2614-2624
-
-
Heydtmann, A.E.1
Jensen, J.M.2
-
84
-
-
0000596483
-
Über die theorie der algebraischen formen
-
D. Hilbert, Über die Theorie der Algebraischen Formen, Mathematische Annalen, vol. 36, pp. 473–534, 1890.
-
(1890)
Mathematische Annalen
, vol.36
, pp. 473-534
-
-
Hilbert, D.1
-
85
-
-
0039060770
-
Über die vollen invarientensysteme
-
D. Hilbert, Über die Vollen Invarientensysteme, Mathematische Annalen, vol. 42, pp. 313–373, 1893.
-
(1893)
Mathematische Annalen
, vol.42
, pp. 313-373
-
-
Hilbert, D.1
-
87
-
-
0028194788
-
The weight hierarchy of higher dimensional hermitian codes
-
J. W. P. Hirschfeld, M. A. Tsfasman, and S. G. Vlâdut, The Weight Hierarchy of Higher Dimensional Hermitian Codes, IEEE Transactions on Information Theory, vol. IT-40, pp. 275–278, 1994.
-
(1994)
IEEE Transactions on Information Theory
, vol.IT-40
, pp. 275-278
-
-
Hirschfeld, J.1
Tsfasman, M.A.2
Vlâdut, S.G.3
-
88
-
-
0000292532
-
Codes correcteurs d’erreurs
-
A. Hocquenghem, Codes Correcteurs d’erreurs, Chiffres, vol. 2, pp. 147–156, 1959.
-
(1959)
Chiffres
, vol.2
, pp. 147-156
-
-
Hocquenghem, A.1
-
89
-
-
0037694026
-
On (Or in) the blahut footprint
-
A. Vardy, editor, Kluwer Academic, Norwell, MA
-
T. Høholdt, On (or in) the Blahut Footprint, in Codes, Curves, and Signals: Common Threads in Communication, A. Vardy, editor, Kluwer Academic, Norwell, MA, 1998.
-
(1998)
Codes, Curves, and Signals: Common Threads in Communication
-
-
Høholdt, T.1
-
91
-
-
0001609376
-
Algebraic geometry codes
-
V. S. Pless and W. C. Huffman, editors, Elsevier, Amsterdam
-
T. Hφholdt, J. H. van Lint, and R. Pellikaan, Algebraic Geometry Codes, Handbook of Coding Theory, V. S. Pless and W. C. Huffman, editors, Elsevier, Amsterdam, pp. 871–961, 1998.
-
(1998)
Handbook of Coding Theory
, pp. 871-961
-
-
Hφholdt, T.1
Van Lint, J.H.2
Pellikaan, R.3
-
92
-
-
0024881755
-
High speed decoding of bch codes using a new error evaluation algorithm
-
part 3
-
T. Horiguchi, High Speed Decoding of BCH Codes Using a New Error Evaluation Algorithm, Elektronics and Communications in Japan, vol. 72, no. 12, part 3, 1989.
-
(1989)
Elektronics and Communications in Japan
, vol.72
, Issue.12
-
-
Horiguchi, T.1
-
93
-
-
0029272036
-
The automorphism group of the generalized quadratic residue codes
-
W. C. Huffman, The Automorphism Group of the Generalized Quadratic Residue Codes, IEEE Transactions on Information Theory, vol. IT-41, pp. 378–386, 1995.
-
(1995)
IEEE Transactions on Information Theory
, vol.IT-41
, pp. 378-386
-
-
Huffman, W.C.1
-
95
-
-
84872371698
-
On two-dimensional cyclic codes
-
T. Ikai, H. Kosako, and Y. Kojima, On Two-Dimensional Cyclic Codes, Transactions of the Institute of Electronic Communication of Japan, vol. 57A, pp. 279–286, 1974.
-
(1974)
Transactions of the Institute of Electronic Communication of Japan
, vol.57A
, pp. 279-286
-
-
Ikai, T.1
Kosako, H.2
Kojima, Y.3
-
96
-
-
0017496023
-
A theory of two-dimensional cyclic codes
-
H. Imai, A Theory of Two-Dimensional Cyclic Codes, Information and Control, vol. 34, pp. 1–21, 1977.
-
(1977)
Information and Control
, vol.34
, pp. 1-21
-
-
Imai, H.1
-
97
-
-
84927056568
-
-
Denmarks Teknishe Højskole, Denmark
-
C. D. Jensen, Codes and Geometry, Ph.D. Dissertation, Denmarks Teknishe Højskole, Denmark, 1991.
-
(1991)
Codes and Geometry
-
-
Jensen, C.D.1
-
98
-
-
0024702954
-
Construction and decoding of a class of algebraic geometry codes
-
J. Justesen, K. J. Larson, H. E. Jensen, A. Havemose, and T. Høholdt, Construction and Decoding of a Class of Algebraic Geometry Codes, IEEE Transactions on Information Theory, vol. IT-35, pp. 811–821, 1989.
-
(1989)
IEEE Transactions on Information Theory
, vol.IT-35
, pp. 811-821
-
-
Justesen, J.1
Larson, K.J.2
Jensen, H.E.3
Havemose, A.4
Høholdt, T.5
-
99
-
-
0026678417
-
Fast decoding of codes from algebraic plane codes
-
J. Justesen, K. J. Larsen, H. E. Jensen, and T. Hφholdt, Fast Decoding of Codes from Algebraic Plane Codes, IEEE Transactions on Information Theory, vol. IT-38, pp. 111–119, 1992.
-
(1992)
IEEE Transactions on Information Theory
, vol.IT-38
, pp. 111-119
-
-
Justesen, J.1
Larsen, K.J.2
Jensen, H.E.3
Hφholdt, T.4
-
100
-
-
0020748352
-
On the inequivalence of generalized preparata codes
-
W. M. Kantor, On the Inequivalence of Generalized Preparata Codes, IEEE Transactions on Information Theory, vol. IT-29, pp. 345–348, 1983.
-
(1983)
IEEE Transactions on Information Theory
, vol.IT-29
, pp. 345-348
-
-
Kantor, W.M.1
-
101
-
-
30244547018
-
Some results on weight distributions of bch codes
-
T. Kasami, S. Lin, and W. W. Peterson, Some Results on Weight Distributions of BCH Codes, IEEE Transactions on Information Theory, vol. IT-12, p. 274, 1966.
-
(1966)
IEEE Transactions on Information Theory
, vol.IT-12
, pp. 274
-
-
Kasami, T.1
Lin, S.2
Peterson, W.W.3
-
102
-
-
0038257908
-
Aclass of low-rate nonlinear codes
-
A. M. Kerdock, AClass of Low-Rate Nonlinear Codes, Information and Control, vol. 20, pp. 182–187, 1972.
-
(1972)
Information and Control
, vol.20
, pp. 182-187
-
-
Kerdock, A.M.1
-
103
-
-
85032410905
-
The minimum distance of codes in an array coming from telescopic semigroups, coding theory and algebraic geometry: Proceedings of agct-4
-
C. Kirfel and R. Pellikaan, The Minimum Distance of Codes in an Array Coming From Telescopic Semigroups, Coding Theory and Algebraic Geometry: Proceedings of AGCT-4, Luminy, France, 1993.
-
(1993)
Luminy, France
-
-
Kirfel, C.1
Pellikaan, R.2
-
104
-
-
0000258946
-
The minimum distance of codes in an array coming from telescopic semigroups
-
C. Kirfel and R. Pellikaan, The Minimum Distance of Codes in an Array Coming From Telescopic Semigroups, IEEE Transactions on Information Theory, vol. IT-41, pp. 1720–1732, 1995.
-
(1995)
IEEE Transactions on Information Theory
, vol.IT-41
, pp. 1720-1732
-
-
Kirfel, C.1
Pellikaan, R.2
-
105
-
-
0000677739
-
Über die transformation siebenter ordnung die elliptischen functionen
-
F. Klein, Über die Transformation Siebenter Ordnung Die Elliptischen Functionen, Mathematics Annals, vol. 14, pp. 428–471, 1879.
-
(1879)
Mathematics Annals
, vol.14
, pp. 428-471
-
-
Klein, F.1
-
107
-
-
84926967475
-
A fast parallel berlekamp–massey type algorithm for hermitian codes
-
Nogorad, Russia
-
R. Koetter, A Fast Parallel Berlekamp–Massey Type Algorithm for Hermitian Codes, Proceedings: Algebraic and Combinatorial Coding Theory, pp. 125–128, Nogorad, Russia, 1994.
-
(1994)
Proceedings: Algebraic and Combinatorial Coding Theory
, pp. 125-128
-
-
Koetter, R.1
-
109
-
-
85032421739
-
-
Monticello, Illinois
-
R. Koetter, On the Determination of Error Values for Codes from a Class of Maximal Curves, Proceedings of the 35th Allerton Conference on Communication, Control, and Computing, University of Illinois, Monticello, Illinois, 1997.
-
(1997)
On the Determination of Error Values for Codes from a Class of Maximal Curves, Proceedings of the 35Th Allerton Conference on Communication, Control, and Computing, University of Illinois
-
-
Koetter, R.1
-
110
-
-
0032122036
-
A fast parallel implementation of a berlekamp–massey algorithm for algebraic-geometric codes
-
R. Koetter, A Fast Parallel Implementation of a Berlekamp–Massey Algorithm for Algebraic-Geometric Codes, IEEE Transactions on Information Theory, vol. IT-44, pp. 1353–1368, 1998.
-
(1998)
IEEE Transactions on Information Theory
, vol.IT-44
, pp. 1353-1368
-
-
Koetter, R.1
-
111
-
-
0003058156
-
-
Springer, Berlin
-
P. V. Kumar and K. Yang, On the True Minimum Distance of Hermitian Codes, Coding Theory and Algebraic Geometry: Proceedings of AGCT-3, Lecture Notes in Mathematics, vol. 158, pp. 99–107, Springer, Berlin, 1992.
-
(1992)
On the True Minimum Distance of Hermitian Codes, Coding Theory and Algebraic Geometry: Proceedings of Agct-3, Lecture Notes in Mathematics, Vol. 158, Pp. 99–107
-
-
Kumar, P.V.1
Yang, K.2
-
113
-
-
0029306704
-
Error-locator ideals for algebraic-geometric codes
-
D. A. Leonard, Error-Locator Ideals for Algebraic-Geometric Codes, IEEE Transactions on Information Theory, vol. IT-41, pp. 819–824, 1995.
-
(1995)
IEEE Transactions on Information Theory
, vol.IT-41
, pp. 819-824
-
-
Leonard, D.A.1
-
114
-
-
0030195163
-
A generalized forney formula for algebraic-geometric codes
-
D. A. Leonard, A Generalized Forney Formula for Algebraic-Geometric Codes, IEEE Transactions on Information Theory, vol. IT-42, pp. 1263–1269, 1996.
-
(1996)
IEEE Transactions on Information Theory
, vol.IT-42
, pp. 1263-1269
-
-
Leonard, D.A.1
-
115
-
-
42949148493
-
The guruswami-sudan decoding algorithm for reed–solomon codes
-
R. J. McEliece, The Guruswami-Sudan Decoding Algorithm for Reed–Solomon Codes, IPN Progress Report, pp. 42–153, 2003.
-
(2003)
IPN Progress Report
, pp. 42-153
-
-
McEliece, R.J.1
-
116
-
-
0002627993
-
A theorem on the distribution of weights in a systematic code
-
F. J. MacWilliams, A Theorem on the Distribution of Weights in a Systematic Code, Bell System Technical Journal, vol. 42, pp. 79–94, 1963.
-
(1963)
Bell System Technical Journal
, vol.42
, pp. 79-94
-
-
MacWilliams, F.J.1
-
117
-
-
0020101633
-
Decoding of erasures and errors for certain reed–solomon codes by decreased redundancy
-
D. M. Mandelbaum, Decoding of Erasures and Errors for Certain Reed–Solomon Codes by Decreased Redundancy, IEEE Transactions on Information Theory, vol. IT-28, pp. 330–336, 1982.
-
(1982)
IEEE Transactions on Information Theory
, vol.IT-28
, pp. 330-336
-
-
Mandelbaum, D.M.1
-
119
-
-
84937740421
-
Shift-register synthesis and bch decoding
-
J. L. Massey, Shift-Register Synthesis and BCH Decoding, IEEE Transactions on Information Theory, vol. IT-15, pp. 122–127, 1969.
-
(1969)
IEEE Transactions on Information Theory
, vol.IT-15
, pp. 122-127
-
-
Massey, J.L.1
-
120
-
-
85016114410
-
Codes and ciphers: Fourier and blahut
-
editor, Kluwer Academic, Norwell, MA
-
J. L. Massey, Codes and Ciphers: Fourier and Blahut, in Codes, Curves, and Signals: Common Threads in Communication, A. Vardy, editor, Kluwer Academic, Norwell, MA, pp. 1998.
-
(1998)
Codes, Curves, and Signals: Common Threads in Communication
-
-
Massey, J.L.1
-
121
-
-
84927056567
-
-
Air Force Cambridge Research Laboratories, Bedford, MA
-
H. F. Mattson, Jr. and E. F. Assmus, Jr., Research Program to Extend the Theory of Weight Distribution and Related Problems for Cyclic Error-Correcting Codes, Report AFCRL-64-605, Air Force Cambridge Research Laboratories, Bedford, MA, July 1964.
-
(1964)
Jr. and E. F. Assmus, Jr., Research Program to Extend the Theory of Weight Distribution and Related Problems for Cyclic Error-Correcting Codes, Report AFCRL-64-605
-
-
Mattson, H.F.1
-
122
-
-
11344281140
-
Anew treatment of bose–chaudhuri codes
-
H. F. Mattson, Jr. and G. Solomon, ANew Treatment of Bose–Chaudhuri Codes, Journal of the Society of Industrial and Applied Mathematics, vol. 9, pp. 654–699, 1961.
-
(1961)
Journal of the Society of Industrial and Applied Mathematics
, vol.9
, pp. 654-699
-
-
Mattson, H.F.1
Solomon, G.2
-
123
-
-
84865095137
-
A 32-point n equals 12, d equals 5 code, ire transactions on information theory, vol
-
M. Nadler, A 32-Point n equals 12, d equals 5 Code, IRE Transactions on Information Theory, vol. IT-8, p. 58, 1962.
-
(1962)
IT-8
, pp. 58
-
-
Nadler, M.1
-
125
-
-
0001144118
-
Decoding of codes defined by a single point on a curve
-
M. E. O’Sullivan, Decoding of Codes Defined by a Single Point on a Curve, IEEE Transactions on Information Theory, vol. IT-41, pp. 1709–1719, 1995.
-
(1995)
IEEE Transactions on Information Theory
, vol.IT-41
, pp. 1709-1719
-
-
O’Sullivan, M.E.1
-
127
-
-
0037165604
-
The key equation for one-point codes and efficient evaluation
-
M. E. O’Sullivan, The Key Equation for One-Point Codes and Efficient Evaluation, Journal of Pure and Applied Algebra, vol. 169, pp. 295–320, 2002.
-
(2002)
Journal of Pure and Applied Algebra
, vol.169
, pp. 295-320
-
-
O’Sullivan, M.E.1
-
129
-
-
38249008268
-
On the decoding by error location and the number of dependent error positions
-
R. Pellikaan, On the Decoding by Error Location and the Number of Dependent Error Positions, Discrete Mathematics, vols. 106–107, pp. 369–381, 1992.
-
(1992)
Discrete Mathematics
, vol.106-107
, pp. 369-381
-
-
Pellikaan, R.1
-
130
-
-
0002460821
-
The klein quartic, the fano plane, and curves representing designs
-
editor, Kluwer Academic, Norwell, MA
-
R. Pellikaan, The Klein Quartic, the Fano Plane, and Curves Representing Designs, in Codes, Curves, and Signals: Common Threads in Communication, A. Vardy, editor, Kluwer Academic, Norwell, MA, pp. 1998.
-
(1998)
Codes, Curves, and Signals: Common Threads in Communication
-
-
Pellikaan, R.1
-
131
-
-
0000808175
-
Encoding and error-correction procedures for the bose–chaudhuri codes
-
W. W. Peterson, Encoding and Error-Correction Procedures for the Bose–Chaudhuri Codes, IEEE Transactions on Information Theory, vol. IT-6, pp. 459–470, 1960.
-
(1960)
IEEE Transactions on Information Theory
, vol.IT-6
, pp. 459-470
-
-
Peterson, W.W.1
-
132
-
-
0000703677
-
On the uniqueness of the golay codes
-
V. Pless, On the Uniqueness of the Golay Codes, Journal of Combinatorial Theory, vol. 5, pp. 215–228, 1968.
-
(1968)
Journal of Combinatorial Theory
, vol.5
, pp. 215-228
-
-
Pless, V.1
-
133
-
-
0030243557
-
Cyclic codes and quadratic residue codes over z4
-
V. Pless and Z. Qian, Cyclic Codes and Quadratic Residue Codes over Z4, IEEE Transactions on Information Theory, vol. IT-42, pp. 1594–1600, 1996.
-
(1996)
IEEE Transactions on Information Theory
, vol.IT-42
, pp. 1594-1600
-
-
Pless, V.1
Qian, Z.2
-
136
-
-
0026953491
-
Decoding geometric goppa codes using an extra place
-
S. C. Porter, B.-Z. Shen, and R. Pellikaan, Decoding Geometric Goppa Codes Using an Extra Place, IEEE Transactions on Information Theory, vol. IT-38, no. 6, pp. 1663–1676, 1992.
-
(1992)
Ieee Transactions on Information Theory, Vol. IT-38
, vol.6
, pp. 1663-1676
-
-
Porter, S.C.1
Shen, B.-Z.2
Pellikaan, R.3
-
138
-
-
18544375019
-
-
Report AFCRC-TN-58-156, Air Force Cambridge Research Center, Bedford, MA
-
E. Prange, Some Cyclic Error-Correcting Codes with Simple Decoding Algorithms, Report AFCRC-TN-58-156, Air Force Cambridge Research Center, Bedford, MA, 1958.
-
Some Cyclic Error-Correcting Codes with Simple Decoding Algorithms
, pp. 1958
-
-
Prange, E.1
-
139
-
-
0038257910
-
A class of optimum nonlinear double-error-correcting codes
-
F. P. Preparata, A Class of Optimum Nonlinear Double-Error-Correcting Codes, Information and Control, vol. 13, pp. 378–400, 1968.
-
(1968)
Information and Control
, vol.13
, pp. 378-400
-
-
Preparata, F.P.1
-
140
-
-
0002206229
-
-
Ph.D. Dissertation, University of Illinois, Chicago
-
Z. Qian, Cyclic Codes over Z4, Ph.D. Dissertation, University of Illinois, Chicago, 1996.
-
(1996)
Cyclic Codes over Z
-
-
Qian, Z.1
-
141
-
-
0001249667
-
Discrete fourier transforms when the number of data samples is prime
-
C. M. Rader, Discrete Fourier Transforms When the Number of Data Samples is Prime, Proceedings of the IEEE, vol. 56, pp. 1107–1108, 1968.
-
(1968)
Proceedings of the IEEE
, vol.56
, pp. 1107-1108
-
-
Rader, C.M.1
-
142
-
-
1942544363
-
-
University of Turku, Finland
-
K. Ranto, Z4 -Goethals Codes, Decoding, and Designs, Ph.D. Dissertation, University of Turku, Finland, 2002.
-
(2002)
Z4 -Goethals Codes, Decoding, and Designs, Ph.D. Dissertation
-
-
Ranto, K.1
-
144
-
-
0020749653
-
A new lower bound for the minimum distance of a cyclic code
-
C. Roos, A New Lower Bound for the Minimum Distance of a Cyclic Code, IEEE Transactions on Information Theory, vol. IT-29, pp. 330–332, 1983.
-
(1983)
IEEE Transactions on Information Theory
, vol.IT-29
, pp. 330-332
-
-
Roos, C.1
-
145
-
-
0025483202
-
Application of circulant matrices to the construction and decoding of linear codes
-
R. M. Roth and A. Lempel, Application of Circulant Matrices to the Construction and Decoding of Linear Codes, IEEE Transactions on Information Theory, vol. IT-36, pp. 1157–1163, 1990.
-
(1990)
IEEE Transactions on Information Theory
, vol.IT-36
, pp. 1157-1163
-
-
Roth, R.M.1
Lempel, A.2
-
146
-
-
0033896613
-
Efficient decoding of reed–solomon codes beyond half the minimum distance
-
R. M. Roth and G. Ruckenstein, Efficient Decoding of Reed–Solomon Codes Beyond Half the Minimum Distance, IEEE Transactions on Information Theory, vol. IT-46, pp. 246–257, 2000.
-
(2000)
IEEE Transactions on Information Theory
, vol.IT-46
, pp. 246-257
-
-
Roth, R.M.1
Ruckenstein, G.2
-
147
-
-
84926970060
-
-
San Juan, Puerto Rico
-
K. Saints and C. Heegard, On Hyperbolic Cascaded Reed–Solomon Codes, Proceedings of Tenth International Symposium on Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes, San Juan, Puerto Rico, 1993.
-
(1993)
On Hyperbolic Cascaded Reed–Solomon Codes, Proceedings of Tenth International Symposium on Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes
-
-
Saints, K.1
Heegard, C.2
-
148
-
-
84899650206
-
On hyperbolic cascade reed–solomon codes
-
Springer, Berlin
-
K. Saints and C. Heegard, On Hyperbolic Cascade Reed–Solomon Codes, Proceedings of AAECCC-10, Lecture Notes in Computer Science, vol. 673, pp. 291–393, Springer, Berlin, 1993.
-
(1993)
Proceedings of AAECCC
, vol.673
, pp. 291-393
-
-
Saints, K.1
Heegard, C.2
-
149
-
-
84927088892
-
Algebraic-geometric codes and multidimensional cyclic codes: Aunified theory using gröbner bases
-
K. Saints and C. Heegard, Algebraic-Geometric Codes and Multidimensional Cyclic Codes: AUnified Theory Using Gröbner Bases, IEEE Transactions on Information Theory, vol. IT-41, pp. 1733– 1751, 1995.
-
(1995)
IEEE Transactions on Information Theory
, vol.IT-41
-
-
Saints, K.1
Heegard, C.2
-
150
-
-
33747274267
-
Finding a minimal set of linear recurring relations capable of generating a given finite two-dimensional array
-
S. Sakata, Finding a Minimal Set of Linear Recurring Relations Capable of Generating a Given Finite Two-Dimensional Array, Journal of Symbolic Computation, vol. 5, pp. 321–337, 1988.
-
(1988)
Journal of Symbolic Computation
, vol.5
, pp. 321-337
-
-
Sakata, S.1
-
151
-
-
0025383036
-
Extension of the berlekamp–massey algorithm to n dimensions
-
S. Sakata, Extension of the Berlekamp–Massey Algorithm to N Dimensions, Information and Computation, vol. 84, pp. 207–239, 1990.
-
(1990)
Information and Computation
, vol.84
, pp. 207-239
-
-
Sakata, S.1
-
152
-
-
0001072540
-
Generalized berlekamp–massey decoding of algebraic-geometric codes up to half the feng–rao bound
-
S. Sakata, H. E. Jensen, and T. Høholdt, Generalized Berlekamp–Massey Decoding of Algebraic-Geometric Codes up to Half the Feng–Rao Bound, IEEE Transactions on Information Theory, vol. IT-41, pp. 1762–1768, 1995.
-
(1995)
IEEE Transactions on Information Theory
, vol.IT-41
, pp. 1762-1768
-
-
Sakata, S.1
Jensen, H.E.2
Høholdt, T.3
-
153
-
-
0008721101
-
Fast decoding of algebraic-geometric codes up to the designed minimum distance
-
S. Sakata, J. Justesen, Y. Madelung, H. E. Jensen, and T. Høholdt, Fast Decoding of Algebraic-Geometric Codes up to the Designed Minimum Distance, IEEE Transactions on Information Theory, vol. IT-41, pp. 1672–1677, 1995.
-
(1995)
IEEE Transactions on Information Theory
, vol.IT-41
, pp. 1672-1677
-
-
Sakata, S.1
Justesen, J.2
Madelung, Y.3
Jensen, H.E.4
Høholdt, T.5
-
154
-
-
0017949332
-
Semi-fast fourier transforms over gf(2 m)
-
D. V. Sarwate, Semi-fast Fourier Transforms over GF(2 m), IEEE Transactions on Computers, vol. C-27, pp. 283–284, 1978.
-
(1978)
IEEE Transactions on Computers
, vol.C-27
, pp. 283-284
-
-
Sarwate, D.V.1
-
155
-
-
33746623687
-
-
Doctor of Technical Sciences Dissertation, ETH Swiss Federal Institute of Technology
-
T. Schaub, A Linear Complexity Approach to Cyclic Codes, Doctor of Technical Sciences Dissertation, ETH Swiss Federal Institute of Technology, 1988.
-
(1988)
A Linear Complexity Approach to Cyclic Codes
-
-
Schaub, T.1
-
156
-
-
84976779342
-
Fast probabilistic algorithms for verification of polynomial identities
-
J. Schwartz, Fast Probabilistic Algorithms for Verification of Polynomial Identities, Journal of the Association of Computing Machinery, vol. 27, pp. 701–717, 1980.
-
(1980)
Journal of the Association of Computing Machinery
, vol.27
, pp. 701-717
-
-
Schwartz, J.1
-
157
-
-
0001713342
-
Sur les nombres des points rationnels d’une courbe algebrique sur un corps fini
-
serie I
-
J. P. Serre, Sur les nombres des points rationnels d’une courbe algebrique sur un corps fini, Comptes Rendus Academy of Science, Paris, vol. 297, serie I, pp. 397–401, 1983.
-
(1983)
Comptes Rendus Academy of Science, Paris
, vol.297
, pp. 397-401
-
-
Serre, J.P.1
-
159
-
-
85032425555
-
-
J. Simonis, The [23, 14, 5] Wagner Code is Unique, Report of the Faculty of Technical Mathematics and Informatics Delft University of Technology, Delft, pp. 96–166, 1996.
-
(1996)
The [23, 14, 5] Wagner Code is Unique, Report of the Faculty of Technical Mathematics and Informatics Delft University of Technology, Delft
, pp. 96-166
-
-
Simonis, J.1
-
160
-
-
0041730807
-
The [23, 14, 5] wagner code is unique
-
J. Simonis, The [23, 14, 5] Wagner Code Is Unique, Discrete Mathematics, vol. 213, pp. 269–282, 2000.
-
(2000)
Discrete Mathematics
, vol.213
, pp. 269-282
-
-
Simonis, J.1
-
162
-
-
84941450682
-
A quaternary cyclic code, and a family of quadriphase sequences with low correlation properties
-
P. Solé, A Quaternary Cyclic Code, and a Family of Quadriphase Sequences with Low Correlation Properties, Lecture Notes in Computer Science, vol. 388, pp. 193–201, 1989.
-
(1989)
Lecture Notes in Computer Science
, vol.388
, pp. 193-201
-
-
Solé, P.1
-
167
-
-
0031097176
-
Decoding of reed–solomon codes beyond the error-correction bound
-
M. Sudan, Decoding of Reed–Solomon Codes Beyond the Error-Correction Bound, Journal of Complexity, vol. 13, pp. 180–183, 1997.
-
(1997)
Journal of Complexity
, vol.13
, pp. 180-183
-
-
Sudan, M.1
-
169
-
-
0016434152
-
A method for solving key equations for decoding goppa codes
-
Y. Sugiyama, M. Kasahara, S. Hirasawa, and T. Namekawa, A Method for Solving Key Equations for Decoding Goppa Codes, Information and Control, vol. 27, pp. 87–99, 1975.
-
(1975)
Information and Control
, vol.27
, pp. 87-99
-
-
Sugiyama, Y.1
Kasahara, M.2
Hirasawa, S.3
Namekawa, T.4
-
170
-
-
0009790357
-
Using a computer to solve problems in physics
-
Ginn and Co., Boston, MA
-
L. H. Thomas, Using a Computer to Solve Problems in Physics, in Applications of Digital Computers, Ginn and Co., Boston, MA, 1963.
-
Applications of Digital Computers
, pp. 1963
-
-
Thomas, L.H.1
-
172
-
-
84859625236
-
Modular curves, shimura curves and goppa codes, better than varshamov–gilbert bound
-
M. A. Tsfasman, S. G. Vlădut, and T. Zink, Modular Curves, Shimura Curves and Goppa Codes, Better Than Varshamov–Gilbert Bound, Mathematische Nachrichten, vol. 104, pp. 13–28, 1982.
-
(1982)
Mathematische Nachrichten
, vol.104
, pp. 13-28
-
-
Tsfasman, M.A.1
Vlădut, S.G.2
Zink, T.3
-
173
-
-
0004273058
-
-
translated by F. Blum and T. J. Benac, Frederick Ungar, New York, 1950 and 1953
-
B. L. van der Waerden, Modern Algebra (2 volumes), translated by F. Blum and T. J. Benac, Frederick Ungar, New York, 1950 and 1953.
-
Modern Algebra
-
-
Van Der Waerden, B.L.1
-
176
-
-
0043144225
-
A remark concerning the minimum distance of binary group codes
-
T. J. Wagner, A Remark Concerning the Minimum Distance of Binary Group Codes, IEEE Transactions on Information Theory, vol. IT-11, p. 458, 1965.
-
(1965)
IEEE Transactions on Information Theory
, vol.IT-11
, pp. 458
-
-
Wagner, T.J.1
-
177
-
-
0040734790
-
Asearch technique for quasi-perfect codes
-
T. J. Wagner, ASearch Technique for Quasi-Perfect Codes, Information and Control, vol. 9, pp. 94–99, 1966.
-
(1966)
Information and Control
, vol.9
, pp. 94-99
-
-
Wagner, T.J.1
-
180
-
-
0014570190
-
Adding two information symbols to certain nonbinary bch codes and some applications
-
J. K. Wolf, Adding Two Information Symbols to Certain Nonbinary BCH Codes and Some Applications, Bell System Technical Journal, vol. 48, pp. 2405–2424, 1969.
-
(1969)
Bell System Technical Journal
, vol.48
, pp. 2405-2424
-
-
Wolf, J.K.1
-
181
-
-
0026867713
-
New multi-level codes over gf(q)
-
J. Wu and D. J. Costello, Jr., New Multi-Level Codes over GF(q), IEEE Transactions on Information Theory, vol. IT-38, pp. 933–939, 1992.
-
(1992)
IEEE Transactions on Information Theory
, vol.IT-38
, pp. 933-939
-
-
Wu, J.1
Costello, D.J.2
-
182
-
-
0000071707
-
On automorphism groups of the hermitian codes
-
C. Xing, On Automorphism Groups of the Hermitian Codes, IEEE Transactions on Information Theory, vol. IT-41, pp. 1629–1635, 1995.
-
(1995)
IEEE Transactions on Information Theory
, vol.IT-41
, pp. 1629-1635
-
-
Xing, C.1
-
183
-
-
0001997208
-
Hermitian codes as generalized reed–solomon codes
-
T. Yaghoobian and I. F. Blake, Hermitian Codes as Generalized Reed–Solomon Codes, Designs, Codes, and Cryptography, vol. 2, pp. 15–18, 1992.
-
(1992)
Designs, Codes, and Cryptography
, vol.2
, pp. 15-18
-
-
Yaghoobian, T.1
Blake, I.F.2
-
184
-
-
0003058156
-
On the true minimum distance of hermitian codes
-
H. Stichtenoth and M. A. Tsfasman, editors, Springer, Berlin
-
K. Yang and P. V. Kumar, On the True Minimum Distance of Hermitian Codes, in Lecture Notes in Mathematics, H. Stichtenoth and M. A. Tsfasman, editors, vol. 1518, pp. 99–107, Springer, Berlin, 1988.
-
(1988)
Lecture Notes in Mathematics
, vol.1518
, pp. 99-107
-
-
Yang, K.1
Kumar, P.V.2
|