-
2
-
-
0031123901
-
Applications of coding theory to the construction of modular lattices
-
C. Bachoc Applications of coding theory to the construction of modular lattices J. Combin. Theory 78A 1997 92-119
-
(1997)
J. Combin. Theory
, vol.78 A
, pp. 92-119
-
-
Bachoc, C.1
-
3
-
-
0012910498
-
On harmonic weight enumerators of binary codes
-
C. Bachoc On harmonic weight enumerators of binary codes Designs, Codes Crypt. 18 1999 11-28
-
(1999)
Designs, Codes Crypt.
, vol.18
, pp. 11-28
-
-
Bachoc, C.1
-
4
-
-
85009882080
-
On extremal additive GF(4)-codes of lengths 10 to 18
-
C. Bachoc P. Gaborit On extremal additive GF (4)-codes of lengths 10 to 18 J. Théorie Nombres Bordeaux 12 2000 225-272
-
(2000)
J. Théorie Nombres Bordeaux
, vol.12
, pp. 225-272
-
-
Bachoc, C.1
Gaborit, P.2
-
5
-
-
1042291543
-
Designs and self-dual codes with long shadows
-
C. Bachoc P. Gaborit Designs and self-dual codes with long shadows J. Combin. Theory 105A 2004 15-34
-
(2004)
J. Combin. Theory
, vol.105 A
, pp. 15-34
-
-
Bachoc, C.1
Gaborit, P.2
-
7
-
-
0021386572
-
A note on extended quadratic residue codes over GF(9) and their ternary images
-
G.F. Beenker A note on extended quadratic residue codes over GF(9) and their ternary images IEEE Trans. Inform. Theory IT-30 1984 403-405
-
(1984)
IEEE Trans. Inform. Theory
, vol.IT-30
, pp. 403-405
-
-
Beenker, G.F.1
-
10
-
-
0035341979
-
Binary optimal odd formally self-dual codes
-
K. Betsumiya M. Harada Binary optimal odd formally self-dual codes Designs Codes Crypt. 23 2001 11-21
-
(2001)
Designs Codes Crypt.
, vol.23
, pp. 11-21
-
-
Betsumiya, K.1
Harada, M.2
-
11
-
-
0035426860
-
Classification of formally self-dual even codes of lengths up to 16
-
K. Betsumiya M. Harada Classification of formally self-dual even codes of lengths up to 16 Designs Codes Crypt. 23 2001 325-332
-
(2001)
Designs Codes Crypt.
, vol.23
, pp. 325-332
-
-
Betsumiya, K.1
Harada, M.2
-
13
-
-
31244438540
-
An enumeration of binary self-dual codes of length 32
-
R.T. Bilous G.H.J. Van Rees An enumeration of binary self-dual codes of length 32 Designs Codes Crypt. 26 2002 61-86
-
(2002)
Designs Codes Crypt.
, vol.26
, pp. 61-86
-
-
Bilous, R.T.1
Van Rees, G.H.J.2
-
16
-
-
0032028729
-
Some new extremal self-dual codes with lengths 44, 50, 54, and 58
-
I. Boukliev S. Buyuklieva Some new extremal self-dual codes with lengths 44, 50, 54, and 58 IEEE Trans. Inform. Theory IT-44 1998 809-812
-
(1998)
IEEE Trans. Inform. Theory
, vol.IT-44
, pp. 809-812
-
-
Boukliev, I.1
Buyuklieva, S.2
-
17
-
-
0033875705
-
A method for constructing self-dual codes with an automorphism of order 2
-
S. Bouyuklieva A method for constructing self-dual codes with an automorphism of order 2 IEEE Trans. Inform. Theory IT-46 2000 496-504
-
(2000)
IEEE Trans. Inform. Theory
, vol.IT-46
, pp. 496-504
-
-
Bouyuklieva, S.1
-
20
-
-
31244435865
-
On the automorphisms of order 2 with fixed points for the extremal self-dual codes of length 24m
-
S. Bouyuklieva On the automorphisms of order 2 with fixed points for the extremal self-dual codes of length 24 m Designs Codes Crypt. 25 2002 5-13
-
(2002)
Designs Codes Crypt.
, vol.25
, pp. 5-13
-
-
Bouyuklieva, S.1
-
21
-
-
1842429188
-
On the automorphism group of a doubly-even (72, 36, 16) code
-
S. Bouyuklieva On the automorphism group of a doubly-even (72, 36, 16) code IEEE Trans. Inform. Theory IT-50 2004 544-547
-
(2004)
IEEE Trans. Inform. Theory
, vol.IT-50
, pp. 544-547
-
-
Bouyuklieva, S.1
-
22
-
-
4644241168
-
Some optimal self-orthogonal and self-dual codes
-
S. Bouyuklieva Some optimal self-orthogonal and self-dual codes Discrete Math. 287 2004 1-10
-
(2004)
Discrete Math.
, vol.287
, pp. 1-10
-
-
Bouyuklieva, S.1
-
24
-
-
84867927439
-
Extremal self-dual [50, 25, 10] codes with automorphisms of order 3 and quasi-symmetric 2-(49,9,6) designs
-
S. Bouyuklieva M. Harada Extremal self-dual [50, 25, 10] codes with automorphisms of order 3 and quasi-symmetric 2- (49, 9, 6) designs Designs Codes Crypt. 28 2003 163-169
-
(2003)
Designs Codes Crypt.
, vol.28
, pp. 163-169
-
-
Bouyuklieva, S.1
Harada, M.2
-
25
-
-
23044493813
-
On the structure of binary self-dual codes having an automorphism of order a square of an odd prime
-
preprint
-
S. Bouyuklieva, R. Russeva, N. Yankov, On the structure of binary self-dual codes having an automorphism of order a square of an odd prime, preprint.
-
-
-
Bouyuklieva, S.1
Russeva, R.2
Yankov, N.3
-
26
-
-
0001962066
-
Bounds on the size of linear codes
-
V.S. Pless W.C. Huffman (eds) Elsevier Amsterdam
-
A.E. Brouwer Bounds on the size of linear codes in V.S. Pless W.C. Huffman (eds) Handbook of Coding Theory 1998 Elsevier Amsterdam 295-461
-
(1998)
Handbook of Coding Theory
, pp. 295-461
-
-
Brouwer, A.E.1
-
28
-
-
38249018080
-
Extremal doubly-even codes of length 40 derived from Hadamard matrices of order 20
-
F.C. Bussemaker V.D. Tonchev Extremal doubly-even codes of length 40 derived from Hadamard matrices of order 20 Discrete Math. 82 1990 317-321
-
(1990)
Discrete Math.
, vol.82
, pp. 317-321
-
-
Bussemaker, F.C.1
Tonchev, V.D.2
-
30
-
-
0031235101
-
New extremal self-dual codes of lengths 42 and 44
-
S. Buyuklieva New extremal self-dual codes of lengths 42 and 44 IEEE Trans. Inform. Theory IT-43 1997 1607-1612
-
(1997)
IEEE Trans. Inform. Theory
, vol.IT-43
, pp. 1607-1612
-
-
Buyuklieva, S.1
-
31
-
-
0001910364
-
On the binary self-dual codes with an automorphism of order 2
-
S. Buyuklieva On the binary self-dual codes with an automorphism of order 2 Designs Codes Crypt. 12 1997 39-48
-
(1997)
Designs Codes Crypt.
, vol.12
, pp. 39-48
-
-
Buyuklieva, S.1
-
32
-
-
23044435714
-
New binary extremal self-dual of lengths 50 and 52
-
S. Buyuklieva New binary extremal self-dual of lengths 50 and 52 Serdica Math J. 25 1999 185-190
-
(1999)
Serdica Math J.
, vol.25
, pp. 185-190
-
-
Buyuklieva, S.1
-
33
-
-
0031647581
-
Extremal self-dual codes with an automorphism of order 2
-
S. Buyuklieva I. Boukliev Extremal self-dual codes with an automorphism of order 2 IEEE Trans. Inform. Theory IT-44 1998 323-328
-
(1998)
IEEE Trans. Inform. Theory
, vol.IT-44
, pp. 323-328
-
-
Buyuklieva, S.1
Boukliev, I.2
-
34
-
-
0010120383
-
Singly-even self-dual codes of length 40
-
S. Buyuklieva V. Yorgov Singly-even self-dual codes of length 40 Designs Codes Crypt. 9 1996 131-141
-
(1996)
Designs Codes Crypt.
, vol.9
, pp. 131-141
-
-
Buyuklieva, S.1
Yorgov, V.2
-
37
-
-
0041038103
-
On the enumeration of self-dual codes
-
J.H. Conway V. Pless On the enumeration of self-dual codes J. Combin. Theory 28A 1980 26-53
-
(1980)
J. Combin. Theory
, vol.28 A
, pp. 26-53
-
-
Conway, J.H.1
Pless, V.2
-
38
-
-
23044487100
-
On primes dividing the group order of a doubly-even (72, 36, 16) code and the group of a quaternary (24,12,10) code
-
J.H. Conway V. Pless On primes dividing the group order of a doubly-even (72, 36, 16) code and the group of a quaternary (24, 12, 10) code Discrete Math. 38 1982 157-162
-
(1982)
Discrete Math.
, vol.38
, pp. 157-162
-
-
Conway, J.H.1
Pless, V.2
-
39
-
-
0018466879
-
Self-dual codes over GF(3) and GF(4) of length not exceeding 16
-
J.H. Conway V. Pless N.J.A. Sloane Self-dual codes over GF(3) and GF(4) of length not exceeding 16 IEEE Trans. Inform. Theory IT-25 1979 312-322
-
(1979)
IEEE Trans. Inform. Theory
, vol.IT-25
, pp. 312-322
-
-
Conway, J.H.1
Pless, V.2
Sloane, N.J.A.3
-
40
-
-
38249012769
-
The binary self-dual codes of length up to 32: A revised enumeration
-
J.H. Conway V. Pless N.J.A. Sloane The binary self-dual codes of length up to 32: A revised enumeration J. Combin. Theory 60A 1992 183-195
-
(1992)
J. Combin. Theory
, vol.60 A
, pp. 183-195
-
-
Conway, J.H.1
Pless, V.2
Sloane, N.J.A.3
-
41
-
-
0025522511
-
A new upper bound on the minimal distance of self-dual codes
-
J.H. Conway N.J.A. Sloane A new upper bound on the minimal distance of self-dual codes IEEE Trans. Inform. Theory IT-36 1990 1319-1333
-
(1990)
IEEE Trans. Inform. Theory
, vol.IT-36
, pp. 1319-1333
-
-
Conway, J.H.1
Sloane, N.J.A.2
-
42
-
-
0001980187
-
Self-dual codes over the integers modulo
-
J.H. Conway N.J.A. Sloane Self-dual codes over the integers modulo 4 J. Combin. Theory 62A 1993 30-45
-
(1993)
J. Combin. Theory
, vol.62 A
, pp. 30-45
-
-
Conway, J.H.1
Sloane, N.J.A.2
-
44
-
-
0021388023
-
On the minimum distance of some quadratic residue codes
-
D. Coppersmith G. Seroussi On the minimum distance of some quadratic residue codes IEEE Trans. Inform. Theory IT-30 1984 407-411
-
(1984)
IEEE Trans. Inform. Theory
, vol.IT-30
, pp. 407-411
-
-
Coppersmith, D.1
Seroussi, G.2
-
45
-
-
0141958746
-
New extremal type I codes of lengths 40, 42 and 44
-
D. Dalan New extremal type I codes of lengths 40, 42 and 44 Designs Codes Crypt. 30 2003 151-157
-
(2003)
Designs Codes Crypt.
, vol.30
, pp. 151-157
-
-
Dalan, D.1
-
46
-
-
0037355199
-
New extremal binary [44, 22, 8] codes
-
D. Dalan New extremal binary [44, 22, 8] codes IEEE Trans. Inform. Theory IT-49 2003 747-748
-
(2003)
IEEE Trans. Inform. Theory
, vol.IT-49
, pp. 747-748
-
-
Dalan, D.1
-
47
-
-
85009545179
-
Extremal binary self-dual codes of lengths 42 and 44 with new weight enumerators
-
D. Dalan Extremal binary self-dual codes of lengths 42 and 44 with new weight enumerators Kyushu J. Math. 57 2003 333-345
-
(2003)
Kyushu J. Math.
, vol.57
, pp. 333-345
-
-
Dalan, D.1
-
48
-
-
23044491848
-
On the classification of all self-dual additive codes over GF (4) of length up to 12
-
preprint
-
L.E. Danielsen, M.G. Parker, On the classification of all self-dual additive codes over GF (4) of length up to 12, preprint.
-
-
-
Danielsen, L.E.1
Parker, M.G.2
-
49
-
-
0036648145
-
New extremal self-dual codes of length 62 and related extremal self-dual codes
-
R. Dontcheva M. Harada New extremal self-dual codes of length 62 and related extremal self-dual codes IEEE Trans. Inform. Theory IT-48 2002 2060-2064
-
(2002)
IEEE Trans. Inform. Theory
, vol.IT-48
, pp. 2060-2064
-
-
Dontcheva, R.1
Harada, M.2
-
51
-
-
0037396507
-
Extremal doubly-even [80, 40 16] codes with an automorphism of order 19
-
R. Dontcheva M. Harada Extremal doubly-even [80, 40, 16] codes with an automorphism of order 19 Finite Fields Appl. 9 2003 157-167
-
(2003)
Finite Fields Appl.
, vol.9
, pp. 157-167
-
-
Dontcheva, R.1
Harada, M.2
-
52
-
-
23044498072
-
New extremal self-dual codes of length 66
-
preprint
-
R. Dontcheva, M. Harada, T. Nishimura, New extremal self-dual codes of length 66, preprint.
-
-
-
Dontcheva, R.1
Harada, M.2
Nishimura, T.3
-
57
-
-
0038387260
-
Type II self-dual codes over finite rings and even unimodular lattices
-
S.T. Dougherty T.A. Gulliver M. Harada Type II self-dual codes over finite rings and even unimodular lattices J. Algebraic Combin. 9 1999 233-250
-
(1999)
J. Algebraic Combin.
, vol.9
, pp. 233-250
-
-
Dougherty, S.T.1
Gulliver, T.A.2
Harada, M.3
-
59
-
-
0001534343
-
Self-dual codes over rings and the Chinese Remainder Theorem
-
S.T. Dougherty M. Harada P. Solé Self-dual codes over rings and the Chinese Remainder Theorem Hokkaido Math. J. 28 1999 253-283
-
(1999)
Hokkaido Math. J.
, vol.28
, pp. 253-283
-
-
Dougherty, S.T.1
Harada, M.2
Solé, P.3
-
61
-
-
21844492373
-
Lattices and codes with long shadows
-
N. Elkies Lattices and codes with long shadows Math. Res. Lett. 2 5 1995 643-651
-
(1995)
Math. Res. Lett.
, vol.2
, Issue.5
, pp. 643-651
-
-
Elkies, N.1
-
63
-
-
0035879671
-
On the classification of extremal even formally self-dual codes of lengths 20 and 22
-
J.E. Fields P. Gaborit W.C. Huffman V. Pless On the classification of extremal even formally self-dual codes of lengths 20 and 22 Discrete Appl. Math. 111 2001 75-86
-
(2001)
Discrete Appl. Math.
, vol.111
, pp. 75-86
-
-
Fields, J.E.1
Gaborit, P.2
Huffman, W.C.3
Pless, V.4
-
65
-
-
0036172361
-
Quadratic double circulant codes over fields
-
P. Gaborit Quadratic double circulant codes over fields J. Combin. Theory 97A 2002 85-107
-
(2002)
J. Combin. Theory
, vol.97 A
, pp. 85-107
-
-
Gaborit, P.1
-
66
-
-
1542400729
-
Construction of new extremal unimodular lattices
-
P. Gaborit Construction of new extremal unimodular lattices European J. Combin. 25 2004 549-564
-
(2004)
European J. Combin.
, vol.25
, pp. 549-564
-
-
Gaborit, P.1
-
67
-
-
23044504249
-
A bound for certain s-extremal lattices and codes
-
preprint
-
P. Gaborit, A bound for certain s-extremal lattices and codes, preprint.
-
-
-
Gaborit, P.1
-
68
-
-
0004904391
-
On additive GF (4) codes
-
A. Barg, S. Litsyn (Eds.) DIMACS Series in Discrete Mathematics and Theoretical Computer Science American Mathematical Society, Providence, RI
-
P. Gaborit, W.C. Huffman, J.-L. Kim, V. Pless, On additive GF (4) codes, in: A. Barg, S. Litsyn (Eds.), Codes and Association Schemes, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 56, American Mathematical Society, Providence, RI, 2001, pp. 135-149.
-
(2001)
Codes and Association Schemes
, vol.56
, pp. 135-149
-
-
Gaborit, P.1
Huffman, W.C.2
Kim, J.-L.3
Pless, V.4
-
70
-
-
0037673689
-
Experimental constructions of self-dual codes
-
P. Gaborit A. Otmani Experimental constructions of self-dual codes Finite Fields Appl. 9 2003 372-394
-
(2003)
Finite Fields Appl.
, vol.9
, pp. 372-394
-
-
Gaborit, P.1
Otmani, A.2
-
74
-
-
0030106710
-
Weight enumerators of extremal singly-even [60, 30, 12] codes
-
T.A. Gulliver M. Harada Weight enumerators of extremal singly-even [60, 30, 12] codes IEEE Trans. Inform. Theory IT-42 1996 658-659
-
(1996)
IEEE Trans. Inform. Theory
, vol.IT-42
, pp. 658-659
-
-
Gulliver, T.A.1
Harada, M.2
-
75
-
-
0042070281
-
Weight enumerators of double circulant codes and new extremal self-dual codes
-
T.A. Gulliver M. Harada Weight enumerators of double circulant codes and new extremal self-dual codes Designs Codes Crypt. 11 1997 141-150
-
(1997)
Designs Codes Crypt.
, vol.11
, pp. 141-150
-
-
Gulliver, T.A.1
Harada, M.2
-
76
-
-
21744446901
-
4 and the odd Leech lattice
-
Lecture Notes in Computer Science Springer, New York
-
4 and the odd Leech lattice, Proceedings of the 12th Applied Algebraic Algorithms and Error-Correcting Codes, Lecture Notes in Computer Science, vol. 1225, Springer, New York, 1997, pp. 130-137.
-
(1997)
Proceedings of the 12th Applied Algebraic Algorithms and Error-Correcting Codes
, vol.1225
, pp. 130-137
-
-
Gulliver, T.A.1
Harada, M.2
-
77
-
-
0012914786
-
Classification of extremal double circulant formally self-dual even codes
-
T.A. Gulliver M. Harada Classification of extremal double circulant formally self-dual even codes Designs Codes Crypt. 11 1997 25-35
-
(1997)
Designs Codes Crypt.
, vol.11
, pp. 25-35
-
-
Gulliver, T.A.1
Harada, M.2
-
78
-
-
0009064289
-
Classification of extremal double circulant self-dual codes of lengths 64 to 72
-
T.A. Gulliver M. Harada Classification of extremal double circulant self-dual codes of lengths 64 to 72 Designs Codes Crypt. 13 1998 257-269
-
(1998)
Designs Codes Crypt.
, vol.13
, pp. 257-269
-
-
Gulliver, T.A.1
Harada, M.2
-
79
-
-
0042860073
-
The existence of a formally self-dual even [70, 35, 14] code
-
T.A. Gulliver M. Harada The existence of a formally self-dual even [70, 35, 14] code Appl. Math. Lett. 11 1998 95-98
-
(1998)
Appl. Math. Lett.
, vol.11
, pp. 95-98
-
-
Gulliver, T.A.1
Harada, M.2
-
82
-
-
10744221129
-
Circulant based extremal self-dual codes over GF
-
T.A. Gulliver J.-L. Kim Circulant based extremal self-dual codes over GF (4) IEEE Trans. Inform. Theory IT-50 2004 359-366
-
(2004)
IEEE Trans. Inform. Theory
, vol.IT-50
, pp. 359-366
-
-
Gulliver, T.A.1
Kim, J.-L.2
-
83
-
-
0028384429
-
4-linearity of Kerdock, Preparata, Goethals, and related codes
-
4 -linearity of Kerdock, Preparata, Goethals, and related codes IEEE Trans. Inform. Theory IT-40 1994 301-319
-
(1994)
IEEE Trans. Inform. Theory
, vol.IT-40
, pp. 301-319
-
-
Hammons, A.R.1
Kumar, P.V.2
Calderbank, A.R.3
Sloane, N.J.A.4
Solé, P.5
-
84
-
-
0000770213
-
Existence of new extremal doubly-even codes and extremal singly-even codes
-
M. Harada Existence of new extremal doubly-even codes and extremal singly-even codes Designs Codes Crypt. 8 1996 273-283
-
(1996)
Designs Codes Crypt.
, vol.8
, pp. 273-283
-
-
Harada, M.1
-
86
-
-
0000025750
-
New extremal ternary self-dual codes
-
M. Harada New extremal ternary self-dual codes Austral. J. Combin. 17 1998 133-145
-
(1998)
Austral. J. Combin.
, vol.17
, pp. 133-145
-
-
Harada, M.1
-
87
-
-
0032683577
-
Construction of an extremal self-dual code of length 62
-
M. Harada Construction of an extremal self-dual code of length 62 IEEE Trans. Inform. Theory IT-45 1999 1232-1233
-
(1999)
IEEE Trans. Inform. Theory
, vol.IT-45
, pp. 1232-1233
-
-
Harada, M.1
-
88
-
-
23044440749
-
-
2 of length 16 are Type IV
-
2 of length 16 are Type IV.
-
-
-
Harada, M.1
-
89
-
-
0000463377
-
Classification of extremal double-circulant self-dual codes of length up to 62
-
M. Harada T.A. Gulliver H. Kaneta Classification of extremal double-circulant self-dual codes of length up to 62 Discrete Math. 188 1998 127-136
-
(1998)
Discrete Math.
, vol.188
, pp. 127-136
-
-
Harada, M.1
Gulliver, T.A.2
Kaneta, H.3
-
92
-
-
23044464480
-
A characterization of designs related to an extremal doubly-even self-dual code of length 48
-
to appear
-
M. Harada, A. Munemasa, V. Tonchev, A characterization of designs related to an extremal doubly-even self-dual code of length 48, Ann. Combin., to appear.
-
Ann. Combin.
-
-
Harada, M.1
Munemasa, A.2
Tonchev, V.3
-
93
-
-
0036978563
-
Classification of extremal formally self-dual even codes of length 22
-
M. Harada P.R.J. Östergård Classification of extremal formally self-dual even codes of length 22 Graphs and Combinatorics 18 2002 507-516
-
(2002)
Graphs and Combinatorics
, vol.18
, pp. 507-516
-
-
Harada, M.1
Östergård, P.R.J.2
-
94
-
-
0003020574
-
4 and unimodular lattices: A survey
-
(Hong Kong, China)
-
4 and unimodular lattices: A survey, Algebras and Combinatorics; an International Congress, ICAC'97 (Hong Kong, China), 1997, pp. 255-275.
-
(1997)
Algebras and Combinatorics; an International Congress, ICAC'97
, pp. 255-275
-
-
Harada, M.1
Solé, P.2
Gaborit, P.3
-
95
-
-
21844494820
-
Singly-even self-dual codes and Hadamard matrices
-
Springer, New York
-
M. Harada, V.D. Tonchev, Singly-even self-dual codes and Hadamard matrices, Lecture Notes in Computer Science, vol. 948, Springer, New York, 1995, pp. 279-284.
-
(1995)
Lecture Notes in Computer Science
, vol.948
, pp. 279-284
-
-
Harada, M.1
Tonchev, V.D.2
-
96
-
-
0242339646
-
Self-dual codes over the Kleinian four group
-
G. Höhn Self-dual codes over the Kleinian four group Math. Ann. 327 2003 227-255
-
(2003)
Math. Ann.
, vol.327
, pp. 227-255
-
-
Höhn, G.1
-
97
-
-
0037265448
-
The extended quadratic residue code is the only (48, 24, 12) self-dual doubly-even code
-
S.K. Houghten C.W.H. Lam L.H. Thiel J.A. Parker The extended quadratic residue code is the only (48, 24, 12) self-dual doubly-even code IEEE Trans. Inform. Theory IT-49 2003 53-59
-
(2003)
IEEE Trans. Inform. Theory
, vol.IT-49
, pp. 53-59
-
-
Houghten, S.K.1
Lam, C.W.H.2
Thiel, L.H.3
Parker, J.A.4
-
98
-
-
0020126745
-
Automorphisms of codes with applications to extremal doubly even codes of length 48
-
W.C. Huffman Automorphisms of codes with applications to extremal doubly even codes of length 48 IEEE Trans. Inform. Theory IT-28 1982 511-521
-
(1982)
IEEE Trans. Inform. Theory
, vol.IT-28
, pp. 511-521
-
-
Huffman, W.C.1
-
99
-
-
0024001458
-
On the [24, 12, 10] quaternary code and binary codes with an automorphism having two cycles
-
W.C. Huffman On the [24, 12, 10] quaternary code and binary codes with an automorphism having two cycles IEEE Trans. Inform. Theory IT-34 1988 486-493
-
(1988)
IEEE Trans. Inform. Theory
, vol.IT-34
, pp. 486-493
-
-
Huffman, W.C.1
-
100
-
-
0025434836
-
On extremal self-dual quaternary codes of lengths 18 to 28, I
-
W.C. Huffman On extremal self-dual quaternary codes of lengths 18 to 28, I IEEE Trans. Inform. Theory IT-36 1990 651-660
-
(1990)
IEEE Trans. Inform. Theory
, vol.IT-36
, pp. 651-660
-
-
Huffman, W.C.1
-
101
-
-
0026186423
-
On extremal self-dual quaternary codes of lengths 18 to 28, II
-
W.C. Huffman On extremal self-dual quaternary codes of lengths 18 to 28, II IEEE Trans. Inform. Theory IT-37 1991 1206-1216
-
(1991)
IEEE Trans. Inform. Theory
, vol.IT-37
, pp. 1206-1216
-
-
Huffman, W.C.1
-
102
-
-
0000233704
-
On extremal self-dual ternary codes of lengths 28 to 40
-
W.C. Huffman On extremal self-dual ternary codes of lengths 28 to 40 IEEE Trans. Inform. Theory IT-38 1992 1395-1400
-
(1992)
IEEE Trans. Inform. Theory
, vol.IT-38
, pp. 1395-1400
-
-
Huffman, W.C.1
-
103
-
-
0031234272
-
Characterization of quaternary extremal codes of lengths 18 and 20
-
W.C. Huffman Characterization of quaternary extremal codes of lengths 18 and 20 IEEE Trans. Inform. Theory IT-43 1997 1613-1616
-
(1997)
IEEE Trans. Inform. Theory
, vol.IT-43
, pp. 1613-1616
-
-
Huffman, W.C.1
-
105
-
-
0006531637
-
Codes and groups
-
V.S. Pless W.C. Elsevier Amsterdam
-
W.C. Huffman Codes and groups V.S. Pless W.C. Huffman Handbook of Coding Theory 1998 Elsevier Amsterdam 1345-1440
-
(1998)
Handbook of Coding Theory
, pp. 1345-1440
-
-
Huffman, W.C.1
-
107
-
-
0041568940
-
The existence of extremal self-dual [50, 25, 10] codes and quasi-symmetric 2-(49, 9, 6) designs
-
W.C. Huffman V.D. Tonchev The existence of extremal self-dual [50, 25, 10] codes and quasi-symmetric 2-(49, 9, 6) designs Designs Codes Crypt. 6 1995 97-106
-
(1995)
Designs Codes Crypt.
, vol.6
, pp. 97-106
-
-
Huffman, W.C.1
Tonchev, V.D.2
-
108
-
-
0042733266
-
The [520, 26, 10] binary self-dual codes with an automorphism of order 7
-
W.C. Huffman V.D. Tonchev The [52, 26, 10] binary self-dual codes with an automorphism of order 7 Finite Fields Appl. 7 2001 341-349
-
(2001)
Finite Fields Appl.
, vol.7
, pp. 341-349
-
-
Huffman, W.C.1
Tonchev, V.D.2
-
109
-
-
0023418656
-
A [72, 36, 16] doubly even code does not have an automorphism of order 11
-
W.C. Huffman V.Y. Yorgov A [72, 36, 16] doubly even code does not have an automorphism of order 11 IEEE Trans. Inform. Theory IT-33 1987 749-752
-
(1987)
IEEE Trans. Inform. Theory
, vol.IT-33
, pp. 749-752
-
-
Huffman, W.C.1
Yorgov, V.Y.2
-
110
-
-
0020832544
-
Binary self-dual codes with automorphisms of odd order
-
V.I. Iorgov Binary self-dual codes with automorphisms of odd order Problems Inform. Trans. 19 1983 260-270
-
(1983)
Problems Inform. Trans.
, vol.19
, pp. 260-270
-
-
Iorgov, V.I.1
-
111
-
-
0022798279
-
Doubly even extremal codes of length 64
-
V.I. Iorgov Doubly even extremal codes of length 64 Problems of Inform. Trans. 22 1986 277-284
-
(1986)
Problems of Inform. Trans.
, vol.22
, pp. 277-284
-
-
Iorgov, V.I.1
-
112
-
-
0012965097
-
Optimal binary linear codes of length ≤ 30
-
D.B. Jaffe Optimal binary linear codes of length ≤ 30 Discrete Math. 223 2000 135-155
-
(2000)
Discrete Math.
, vol.223
, pp. 135-155
-
-
Jaffe, D.B.1
-
113
-
-
0001937924
-
On designs and formally self-dual codes
-
G.T. Kennedy V. Pless On designs and formally self-dual codes Designs Codes Crypt. 4 1994 43-55
-
(1994)
Designs Codes Crypt.
, vol.4
, pp. 43-55
-
-
Kennedy, G.T.1
Pless, V.2
-
114
-
-
0011038549
-
A coding theoretic approach to extending designs
-
G.T. Kennedy V. Pless A coding theoretic approach to extending designs Discrete Math. 142 1995 155-168
-
(1995)
Discrete Math.
, vol.142
, pp. 155-168
-
-
Kennedy, G.T.1
Pless, V.2
-
116
-
-
0035334585
-
New self-dual codes over GF(4) with the highest known minimum weights
-
J.-L. Kim New self-dual codes over GF (4) with the highest known minimum weights IEEE Trans. Inform. Theory IT-47 2001 1575-1580
-
(2001)
IEEE Trans. Inform. Theory
, vol.IT-47
, pp. 1575-1580
-
-
Kim, J.-L.1
-
117
-
-
0035091447
-
New extremal self-dual codes of lengths 36, 38 and 58
-
J.-L. Kim New extremal self-dual codes of lengths 36, 38 and 58 IEEE Trans. Inform. Theory IT-47 2001 386-393
-
(2001)
IEEE Trans. Inform. Theory
, vol.IT-47
, pp. 386-393
-
-
Kim, J.-L.1
-
118
-
-
33847349653
-
A note on formally self-dual even codes of length divisible by 8
-
to appear
-
J.-L. Kim, V. Pless, A note on formally self-dual even codes of length divisible by 8, in Finite Fields Appl., to appear.
-
Finite Fields Appl.
-
-
Kim, J.-L.1
Pless, V.2
-
119
-
-
23044473572
-
Extremal doubly even (56, 28, 12) codes and Hadamard matrices of order 28
-
H. Kimura Extremal doubly even (56, 28, 12) codes and Hadamard matrices of order 28 Austral. J. Combin. 10 1994 153-161
-
(1994)
Austral. J. Combin.
, vol.10
, pp. 153-161
-
-
Kimura, H.1
-
120
-
-
0035443483
-
The mass of extremal doubly-even self-dual codes of length 40
-
O.D. King The mass of extremal doubly-even self-dual codes of length 40 IEEE Trans. Inform. Theory IT-47 2001 2558-2560
-
(2001)
IEEE Trans. Inform. Theory
, vol.IT-47
, pp. 2558-2560
-
-
King, O.D.1
-
121
-
-
0025483055
-
There is no (24, 12, 10) self-dual quaternary code
-
C.W.H. Lam V. Pless There is no (24, 12, 10) self-dual quaternary code IEEE Trans. Inform. Theory IT-36 1990 1153-1156
-
(1990)
IEEE Trans. Inform. Theory
, vol.IT-36
, pp. 1153-1156
-
-
Lam, C.W.H.1
Pless, V.2
-
127
-
-
4544225706
-
A new extremal self-dual code of length 64
-
T. Nishimura A new extremal self-dual code of length 64 IEEE Trans. Inform. Theory IT-50 2004 2173-2174
-
(2004)
IEEE Trans. Inform. Theory
, vol.IT-50
, pp. 2173-2174
-
-
Nishimura, T.1
-
129
-
-
84867977754
-
Notes on the shadow process in self-dual codes
-
M. Ozeki Notes on the shadow process in self-dual codes Discrete Math. 264 2003 187-200
-
(2003)
Discrete Math.
, vol.264
, pp. 187-200
-
-
Ozeki, M.1
-
130
-
-
0000703677
-
On the uniqueness of the Golay codes
-
V. Pless On the uniqueness of the Golay codes J. Combin. Theory 5 1968 215-228
-
(1968)
J. Combin. Theory
, vol.5
, pp. 215-228
-
-
Pless, V.1
-
131
-
-
0000718305
-
A classification of self-orthogonal codes over GF(2)
-
V. Pless A classification of self-orthogonal codes over GF (2) Discrete Math. 3 1972 209-246
-
(1972)
Discrete Math.
, vol.3
, pp. 209-246
-
-
Pless, V.1
-
132
-
-
0001640417
-
Symmetry codes over GF(3) and new five-designs
-
V. Pless Symmetry codes over GF(3) and new five-designs J. Combin. Theory 12 1972 119-142
-
(1972)
J. Combin. Theory
, vol.12
, pp. 119-142
-
-
Pless, V.1
-
133
-
-
0018038595
-
The children of the (32,16) doubly even codes
-
V. Pless The children of the (32, 16) doubly even codes IEEE Trans. Inform. Theory IT-24 1978 738-746
-
(1978)
IEEE Trans. Inform. Theory
, vol.IT-24
, pp. 738-746
-
-
Pless, V.1
-
134
-
-
0019344837
-
23 does not divide the order of the group of a (720, 36, 16) doubly even code
-
V. Pless 23 does not divide the order of the group of a (72, 36, 16) doubly even code IEEE Trans. Inform. Theory IT-28 1982 113-117
-
(1982)
IEEE Trans. Inform. Theory
, vol.IT-28
, pp. 113-117
-
-
Pless, V.1
-
137
-
-
0001055974
-
On the classification and enumeration of self-dual codes
-
V. Pless N.J.A. Sloane On the classification and enumeration of self-dual codes J. Combin. Theory 18 1975 313-335
-
(1975)
J. Combin. Theory
, vol.18
, pp. 313-335
-
-
Pless, V.1
Sloane, N.J.A.2
-
138
-
-
0019010834
-
Ternary codes of minimum weight 6 and the classification of self-dual codes of length 20
-
V. Pless N.J.A. Sloane H.N. Ward Ternary codes of minimum weight 6 and the classification of self-dual codes of length 20 IEEE Trans. Inform. Theory IT-26 1980 305-316
-
(1980)
IEEE Trans. Inform. Theory
, vol.IT-26
, pp. 305-316
-
-
Pless, V.1
Sloane, N.J.A.2
Ward, H.N.3
-
139
-
-
0020127070
-
17 does not divide the order of the group of a (72, 36, 16) doubly even code
-
V. Pless J. Thompson 17 does not divide the order of the group of a (72, 36, 16) doubly even code IEEE Trans. Inform. Theory IT-28 1982 537-541
-
(1982)
IEEE Trans. Inform. Theory
, vol.IT-28
, pp. 537-541
-
-
Pless, V.1
Thompson, J.2
-
140
-
-
0027201453
-
On the existence of a certain (64, 32, 12) extremal code
-
V. Pless V. Tonchev J. Leon On the existence of a certain (64, 32, 12) extremal code IEEE Trans. Inform. Theory IT-39 1993 214-215
-
(1993)
IEEE Trans. Inform. Theory
, vol.IT-39
, pp. 214-215
-
-
Pless, V.1
Tonchev, V.2
Leon, J.3
-
141
-
-
0031673620
-
Shadow bounds for self-dual codes
-
E.M. Rains Shadow bounds for self-dual codes IEEE Trans. Inform. Theory IT-44 1998 134-139
-
(1998)
IEEE Trans. Inform. Theory
, vol.IT-44
, pp. 134-139
-
-
Rains, E.M.1
-
144
-
-
0002386608
-
Sloane Self-dual codes
-
V.S. Pless W.C. Huffman (eds) Elsevier Amsterdam
-
E.M. Rains N.J.A. Sloane Self-dual codes in V.S. Pless W.C. Huffman (eds) Handbook of Coding Theory 1998 Elsevier Amsterdam 177-294
-
(1998)
Handbook of Coding Theory
, pp. 177-294
-
-
Rains, E.M.1
Sloane, N.J.A.2
-
145
-
-
0000133387
-
The shadow theory of modular and unimodular lattices
-
E.M. Rains N.J.A. Sloane The shadow theory of modular and unimodular lattices J. Number Theory 73 1998 359-389
-
(1998)
J. Number Theory
, vol.73
, pp. 359-389
-
-
Rains, E.M.1
Sloane, N.J.A.2
-
147
-
-
0036158365
-
Self-dual [24, 12, 8] quaternary codes with a nontrivial automorphism of order 3
-
R.P. Russeva Self-dual [24, 12, 8] quaternary codes with a nontrivial automorphism of order 3 Finite Fields Appl. 8 2002 34-51
-
(2002)
Finite Fields Appl.
, vol.8
, pp. 34-51
-
-
Russeva, R.P.1
-
148
-
-
0347997339
-
Is there a (72,36) d=16 self-dual code
-
N.J.A. Sloane Is there a (72, 36) d = 16 self-dual code IEEE Trans. Inform. Theory IT-19 1973 251
-
(1973)
IEEE Trans. Inform. Theory
, vol.IT-19
, pp. 251
-
-
Sloane, N.J.A.1
-
149
-
-
84856043672
-
A mathematical theory of communication
-
379-423
-
C. Shannon, A mathematical theory of communication, Bell System Tech. J. 27 (1948) 379-423, 623-656.
-
(1948)
Bell System Tech. J.
, vol.27
, pp. 623-656
-
-
Shannon, C.1
-
150
-
-
38249009322
-
The [18, 9, 6] code is unique
-
J. Simonis The [18, 9, 6] code is unique Discrete Math. 106/107 1992 439-448
-
(1992)
Discrete Math.
, vol.106-107
, pp. 439-448
-
-
Simonis, J.1
-
151
-
-
0041525600
-
Extremal self-dual codes from symmetric designs
-
E. Spence V.D. Tonchev Extremal self-dual codes from symmetric designs Discrete Math. 110 1992 265-268
-
(1992)
Discrete Math.
, vol.110
, pp. 265-268
-
-
Spence, E.1
Tonchev, V.D.2
-
152
-
-
0000361595
-
Self-orthogonal designs and extremal doubly even codes
-
V.D. Tonchev Self-orthogonal designs and extremal doubly even codes J. Combin. Theory 52A 1989 197-205
-
(1989)
J. Combin. Theory
, vol.52 A
, pp. 197-205
-
-
Tonchev, V.D.1
-
153
-
-
23044493812
-
Codes and designs
-
V.S. Pless W.C. Huffman (eds) Elsevier Amsterdam
-
V.D. Tonchev Codes and designs in V.S. Pless W.C. Huffman (eds) Handbook of Coding Theory 1998 Elsevier Amsterdam 1229-1267
-
(1998)
Handbook of Coding Theory
, pp. 1229-1267
-
-
Tonchev, V.D.1
-
154
-
-
0026837464
-
Existence of certain extremal self-dual codes
-
H.-P. Tsai Existence of certain extremal self-dual codes IEEE Trans. Inform. Theory IT-38 1992 501-504
-
(1992)
IEEE Trans. Inform. Theory
, vol.IT-38
, pp. 501-504
-
-
Tsai, H.-P.1
-
155
-
-
0026954694
-
Existence of some extremal self-dual codes
-
H.-P. Tsai Existence of some extremal self-dual codes IEEE Trans. Inform. Theory IT-38 1992 1829-1833
-
(1992)
IEEE Trans. Inform. Theory
, vol.IT-38
, pp. 1829-1833
-
-
Tsai, H.-P.1
-
156
-
-
0033184926
-
Extremal self-dual codes of lengths 66 and 68
-
H.-P. Tsai Extremal self-dual codes of lengths 66 and 68 IEEE Trans. Inform. Theory IT-45 1999 2129-2133
-
(1999)
IEEE Trans. Inform. Theory
, vol.IT-45
, pp. 2129-2133
-
-
Tsai, H.-P.1
-
157
-
-
0032028979
-
Some new extremal self-dual [58, 29, 10] codes
-
H.-P. Tsai Y.-J. Jiang Some new extremal self-dual [58, 29, 10] codes IEEE Trans. Inform. Theory IT-44 1998 813-814
-
(1998)
IEEE Trans. Inform. Theory
, vol.IT-44
, pp. 813-814
-
-
Tsai, H.-P.1
Jiang, Y.-J.2
-
158
-
-
0001478483
-
A restriction on the weight enumerator of a self-dual code
-
H.N. Ward A restriction on the weight enumerator of a self-dual code J. Combin. Theory 21 1976 253-255
-
(1976)
J. Combin. Theory
, vol.21
, pp. 253-255
-
-
Ward, H.N.1
-
159
-
-
0023170073
-
A method for constructing inequivalent self-dual codes with applications to length 56
-
V.Y. Yorgov A method for constructing inequivalent self-dual codes with applications to length 56 IEEE Trans. Inform. Theory IT-33 1987 77-82
-
(1987)
IEEE Trans. Inform. Theory
, vol.IT-33
, pp. 77-82
-
-
Yorgov, V.Y.1
-
161
-
-
0042715426
-
The extremal codes of length 42 with an automorphism of order 7
-
V.Y. Yorgov The extremal codes of length 42 with an automorphism of order 7 Discrete Math. 190 1998 201-213
-
(1998)
Discrete Math.
, vol.190
, pp. 201-213
-
-
Yorgov, V.Y.1
-
162
-
-
0033334879
-
On the minimal weight of some singly-even codes
-
V.Y. Yorgov On the minimal weight of some singly-even codes IEEE Trans. Inform. Theory IT-45 1999 2539-2541
-
(1999)
IEEE Trans. Inform. Theory
, vol.IT-45
, pp. 2539-2541
-
-
Yorgov, V.Y.1
-
163
-
-
23044468101
-
On the automorphism group of a putative code
-
preprint
-
V.Y. Yorgov, On the automorphism group of a putative code, preprint.
-
-
-
Yorgov, V.Y.1
-
164
-
-
23044465590
-
Two extremal codes of length 42 and 44
-
V. Yorgov R. Ruseva Two extremal codes of length 42 and 44 Problems Inform. Trans. 29 1993 385-388
-
(1993)
Problems Inform. Trans.
, vol.29
, pp. 385-388
-
-
Yorgov, V.1
Ruseva, R.2
-
166
-
-
23044483138
-
On the extremal binary codes of lengths 36 and 38 with an automorphism of order 5
-
(Sozopol, Bulgaria) June 1-7
-
V.Y. Yorgov, N. Yankov, On the extremal binary codes of lengths 36 and 38 with an automorphism of order 5, Proceedings of the Fifth International Workshop on Algebraic and Combinatorial Coding Theory (Sozopol, Bulgaria) June 1-7, 1996, pp. 307-312.
-
(1996)
Proceedings of the Fifth International Workshop on Algebraic and Combinatorial Coding Theory
, pp. 307-312
-
-
Yorgov, V.Y.1
Yankov, N.2
-
167
-
-
23044516974
-
Doubly even self-dual [40, 20, 8] codes with automorphism of an odd order
-
V.Y. Yorgov N. Ziapov Doubly even self-dual [40, 20, 8] codes with automorphism of an odd order Problems Inform. Trans. 32 1996 253-257
-
(1996)
Problems Inform. Trans.
, vol.32
, pp. 253-257
-
-
Yorgov, V.Y.1
Ziapov, N.2
-
168
-
-
0012962181
-
On the nonexistence of extremal self-dual codes
-
S. Zhang On the nonexistence of extremal self-dual codes Discrete Appl. Math. 91 1999 277-286
-
(1999)
Discrete Appl. Math.
, vol.91
, pp. 277-286
-
-
Zhang, S.1
-
169
-
-
0035964001
-
Some new extremal self-dual codes with lengths 42, 44, 52, and 58
-
S. Zhang S. Li Some new extremal self-dual codes with lengths 42, 44, 52, and 58 Discrete Math. 238 2001 147-150
-
(2001)
Discrete Math.
, vol.238
, pp. 147-150
-
-
Zhang, S.1
Li, S.2
|