-
1
-
-
84943458445
-
-
personal communication
-
W. O. Alltop, personal communication.
-
-
-
Alltop, W.O.1
-
2
-
-
84943459974
-
The Wax bound for binary codes
-
Math. Centre Report ZW72, Amsterdam, (Preprint of Section III of this paper.)
-
M. R. Best, “The Wax bound for binary codes,” Math. Centre Report ZW72, Amsterdam, 1976, (Preprint of Section III of this paper.)
-
(1976)
-
-
Best, M.R.1
-
3
-
-
9144219601
-
The triply shortened binary Hamming code is optimal
-
M. R. Best, and A. E. Brouwer “The triply shortened binary Hamming code is optimal,” Discrete Math., vol. 17, pp. 235–245, 1977.
-
(1977)
Discrete Math.
, vol.17
, pp. 235-245
-
-
Best, M.R.1
Brouwer, A.E.2
-
4
-
-
84914489387
-
A(17,6,4) = 20, or the nonexistence of the scarce design SD(4,1;17,21)
-
Math. Centre Report ZW62, Amsterdam
-
A. E. Brouwer, “A(17,6,4) = 20, or the nonexistence of the scarce design SD(4,1;17,21),” Math. Centre Report ZW62, Amsterdam, 1975.
-
(1975)
-
-
Brouwer, A.E.1
-
5
-
-
84943459007
-
n—the case n ≢ 2 (mod 3)
-
Math. Centre Report ZW76, Amsterdam
-
n—the case n ≢ 2 (mod 3),” Math. Centre Report ZW76, Amsterdam, 1976.
-
(1976)
-
-
Brouwer, A.E.1
-
6
-
-
84943459014
-
Some triplewise balanced designs
-
Math. Centre Report ZW77, Amsterdam
-
—, “Some triplewise balanced designs,” Math. Centre Report ZW77, Amsterdam, 1976.
-
(1976)
-
-
Brouwer, A.E.1
-
8
-
-
0015357424
-
Bounds for unrestricted codes, by linear programming
-
Philips Research Reports
-
P. Delsarte “Bounds for unrestricted codes, by linear programming,” Philips Research Reports, vol. 27, pp. 272–289, 1972.
-
(1972)
, vol.27
, pp. 272-289
-
-
Delsarte, P.1
-
9
-
-
0015729784
-
An algebraic approach to the association schemes of coding theory
-
Philips Research Reports Supplements
-
—, “An algebraic approach to the association schemes of coding theory,” Philips Research Reports Supplements, no. 10, 1973.
-
(1973)
, Issue.10
-
-
Delsarte, P.1
-
10
-
-
4243382523
-
The association schemes of coding theory
-
M. Hall, Jr., and J. H. van Lint, Eds. Amsterdam: Reidel, Dordrecht, and Mathematical Centre
-
—, “The association schemes of coding theory,” in Combinatorics, M. Hall, Jr., and J. H. van Lint, Eds. Amsterdam: Reidel, Dordrecht, and Mathematical Centre, 1975, pp. 143–161.
-
(1975)
Combinatorics
, pp. 143-161
-
-
Delsarte, P.1
-
11
-
-
0016994247
-
kF(i,k,n)
-
kF(i,k,n),” SIAM J. Appl. Math., vol. 31, pp. 262–270, 1976.
-
(1976)
SIAM J. Appl. Math.
, vol.31
, pp. 262-270
-
-
Delsarte, P.1
-
13
-
-
84943459443
-
-
personal communication
-
R. H. F. Denniston, personal communication.
-
-
-
Denniston, R.H.F.1
-
14
-
-
84910212128
-
A bibliography and survey of Steiner systems
-
J. Doyen and A. Rosa “A bibliography and survey of Steiner systems,” Bolletino Unione Matematica Italiana, vol. 7, pp. 392–419, 1973.
-
(1973)
Bolletino Unione Matematica Italiana
, vol.7
, pp. 392-419
-
-
Doyen, J.1
Rosa, A.2
-
15
-
-
84968512336
-
A two parameter test matrix
-
P. J. Eberlein “A two parameter test matrix,” Math. Comp., vol. 18, pp. 296–298, 1964.
-
(1964)
Math. Comp.
, vol.18
, pp. 296-298
-
-
Eberlein, P.J.1
-
16
-
-
84938020466
-
A conjecture on binary nongroup codes
-
Oct.
-
B. Elspas “A conjecture on binary nongroup codes,” IEEE Trans. Inform. Theory, vol. IT-11, pp. 599–600, Oct. 1965.
-
(1965)
IEEE Trans. Inform. Theory
, vol.IT-11
, pp. 599-600
-
-
Elspas, B.1
-
17
-
-
0002611824
-
On a limit theorem in combinatorical analysis
-
P. Erdos, and H. Hanani “On a limit theorem in combinatorical analysis,” Publ. Math. Debrecen, vol. 10, pp. 10–13, 1963.
-
(1963)
Publ. Math. Debrecen
, vol.10
, pp. 10-13
-
-
Erdos, P.1
Hanani, H.2
-
20
-
-
0017416975
-
The extended Nadler code is unique
-
Jan.
-
J. M. Goethals “The extended Nadler code is unique,” IEEE Trans. Inform. Theory, vol. IT-23, pp. 132–135, Jan. 1977.
-
(1977)
IEEE Trans. Inform. Theory
, vol.IT-23
, pp. 132-135
-
-
Goethals, J.M.1
-
21
-
-
0000499681
-
Notes on digital coding
-
June
-
M. J. E. Golay, “Notes on digital coding,” Proc. IRE, vol. 37, p. 657, June 1949.
-
(1949)
Proc. IRE
, vol.37
, pp. 657
-
-
Golay, M.J.E.1
-
23
-
-
0242301500
-
A problem of Zarankiewicz
-
(Proc. Colloq., Tihany). New York: Academic
-
R. K. Guy, “A problem of Zarankiewicz,” in Theory of Graphs (Proc. Colloq., Tihany). New York: Academic, 1968, pp. 119–150.
-
(1968)
Theory of Graphs
, pp. 119-150
-
-
Guy, R.K.1
-
24
-
-
0003124908
-
Über Orthogonalpolynome, die q-Differenzen-gleichungen genügen
-
W. Hahn “Über Orthogonalpolynome, die q-Differenzen-gleichungen genügen,” Math. Nachr., vol. 2, pp. 4–34, 1949.
-
(1949)
Math. Nachr.
, vol.2
, pp. 4-34
-
-
Hahn, W.1
-
25
-
-
84943817322
-
Error detecting and error correcting codes
-
Apr.
-
R. W. Hamming “Error detecting and error correcting codes,” Bell Syst. Tech. J., vol. 29, pp. 147–160, Apr. 1950.
-
(1950)
Bell Syst. Tech. J.
, vol.29
, pp. 147-160
-
-
Hamming, R.W.1
-
26
-
-
0000416758
-
On quadruple systems
-
H. Hanani “On quadruple systems,” Canad. J. Math., vol. 12, pp. 145–157, 1960.
-
(1960)
Canad. J. Math.
, vol.12
, pp. 145-157
-
-
Hanani, H.1
-
27
-
-
0011461767
-
The existence and construction of balanced incomplete block designs
-
— “The existence and construction of balanced incomplete block designs,” Annals Math. Stat., vol. 32, pp. 361–386, 1961.
-
(1961)
Annals Math. Stat.
, vol.32
, pp. 361-386
-
-
Hanani, H.1
-
28
-
-
5244357716
-
A balanced incomplete block design
-
ibid.
-
—, “A balanced incomplete block design,” ibid., vol. 36, p. 711, 1965.
-
(1965)
, vol.36
, pp. 711
-
-
Hanani, H.1
-
29
-
-
49549139524
-
Balanced incomplete block designs and related designs
-
— “Balanced incomplete block designs and related designs,” Discrete Math., vol. 11, pp. 255–369, 1975.
-
(1975)
Discrete Math.
, vol.11
, pp. 255-369
-
-
Hanani, H.1
-
30
-
-
0043043783
-
Minimum-distance bounds for binary linear codes
-
May
-
H. J. Helgert, and R. D. Stinaff “Minimum-distance bounds for binary linear codes,” IEEE Trans. Inform. Theory, vol. IT-19, pp. 344–356, May 1973.
-
(1973)
IEEE Trans. Inform. Theory
, vol.IT-19
, pp. 344-356
-
-
Helgert, H.J.1
Stinaff, R.D.2
-
31
-
-
0001336166
-
A new upper bound for error-correcting codes
-
Apr.
-
S. M. Johnson “A new upper bound for error-correcting codes,” IEEE Trans. Inform. Theory, vol. IT-8, pp. 203–207, Apr. 1962.
-
(1962)
IEEE Trans. Inform. Theory
, vol.IT-8
, pp. 203-207
-
-
Johnson, S.M.1
-
32
-
-
0005861105
-
Improved asymptotic bounds for error-correcting codes
-
July
-
— “Improved asymptotic bounds for error-correcting codes,” IEEE Trans. Inform. Theory, vol. IT-9, pp. 198–205, July 1963.
-
(1963)
IEEE Trans. Inform. Theory
, vol.IT-9
, pp. 198-205
-
-
Johnson, S.M.1
-
33
-
-
84943460298
-
-
unpublished tables
-
—, unpublished tables, 1970.
-
(1970)
-
-
Johnson, S.M.1
-
34
-
-
0015099149
-
On upper bounds for unrestricted binary error-correcting codes
-
July
-
— “On upper bounds for unrestricted binary error-correcting codes,” IEEE Trans. Inform. Theory, vol. IT-17, pp. 466–478, July 1971.
-
(1971)
IEEE Trans. Inform. Theory
, vol.IT-17
, pp. 466-478
-
-
Johnson, S.M.1
-
35
-
-
0001392607
-
Upper bounds for constant weight error-correcting codes
-
— “Upper bounds for constant weight error-correcting codes,” Discrete Math., vol. 3, pp. 109–124, 1972.
-
(1972)
Discrete Math.
, vol.3
, pp. 109-124
-
-
Johnson, S.M.1
-
36
-
-
84916284602
-
Two improved block codes
-
July
-
D. Julin, “Two improved block codes,” IEEE Trans. Inform. Theory, vol. IT-11, p. 459, July 1965.
-
(1965)
IEEE Trans. Inform. Theory
, vol.IT-11
, pp. 459
-
-
Julin, D.1
-
37
-
-
84972583065
-
Maximal and minimal coverings of (k − 1)-tuples by k-tuples
-
J. G. Kalbfleisch, and R. G. Stanton “Maximal and minimal coverings of (k − 1)-tuples by k-tuples,” Pacific J. Math., vol. 26, pp. 131–140, 1968.
-
(1968)
Pacific J. Math.
, vol.26
, pp. 131-140
-
-
Kalbfleisch, J.G.1
Stanton, R.G.2
-
38
-
-
0003082366
-
The Hahn polynomials, formulas and an application
-
S. Karlin and J. L. McGregor “The Hahn polynomials, formulas and an application,” Scripta Math., vol. 26, pp. 33–46, 1961.
-
(1961)
Scripta Math.
, vol.26
, pp. 33-46
-
-
Karlin, S.1
McGregor, J.L.2
-
39
-
-
0000464181
-
On a problem in combinations
-
T. P. Kirkman “On a problem in combinations,” Cambridge and Dublin Math. J., vol. 2, pp. 191–204, 1847.
-
(1847)
Cambridge and Dublin Math. J.
, vol.2
, pp. 191-204
-
-
Kirkman, T.P.1
-
40
-
-
0000743718
-
The application of Hadamard matrices to a problem in coding
-
V. I. Levenshtein “The application of Hadamard matrices to a problem in coding,” Problems of Cybernetics, vol. 5, pp. 166–184, 1964.
-
(1964)
Problems of Cybernetics
, vol.5
, pp. 166-184
-
-
Levenshtein, V.I.1
-
41
-
-
84943460016
-
-
personal communication
-
Shen Lin, personal communication.
-
-
-
Lin, S.1
-
42
-
-
0015435741
-
A new description of the Nadler code
-
Nov.
-
J. H. van Lint “A new description of the Nadler code,” IEEE Trans. Inform. Theory, vol. IT-18, pp. 825–826, Nov. 1972.
-
(1972)
IEEE Trans. Inform. Theory
, vol.IT-18
, pp. 825-826
-
-
van Lint, J.H.1
-
43
-
-
84943458742
-
-
unpublished tables
-
R. J. McEliece, E. R. Rodemich, H. C. Rumsey, Jr., and L. R. Welch, unpublished tables, 1972.
-
(1972)
-
-
McEliece, R.J.1
Rodemich, E.R.2
Rumsey, H.C.3
Welch, L.R.4
-
44
-
-
0017468074
-
New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities
-
Mar.
-
— “New upper bounds on the rate of a code via the Delsarte-MacWilliams inequalities,” IEEE Trans. Inform. Theory, vol. IT-23, pp. 157–166, Mar. 1977.
-
(1977)
IEEE Trans. Inform. Theory
, vol.IT-23
, pp. 157-166
-
-
McEliece, R.J.1
Rodemich, E.R.2
Rumsey, H.C.3
Welch, L.R.4
-
45
-
-
84943460152
-
On the Steiner systems S(3,4,14) and S(4,5,15)
-
Abstract 71T-A78 and p. 792: erratum, and Utilitas Math., vol. 1, pp. 5–95, 1972
-
N. S. Mendelsohn and S. H. Y. Hung “On the Steiner systems S(3,4,14) and S(4,5,15),” Notices Amer. Math. Soc., vol. 18, pp. 552–553, 1971; Abstract 71T-A78 and p. 792: erratum, and Utilitas Math., vol. 1, pp. 5–95, 1972.
-
(1971)
Notices Amer. Math. Soc.
, vol.18
, pp. 552-553
-
-
Mendelsohn, N.S.1
Hung, S.H.Y.2
-
46
-
-
84865095137
-
A 32-point n = 12, d = 5 code
-
Jan.
-
M. Nadler, “A 32-point n = 12, d = 5 code,” IEEE Trans. Inform. Theory, vol. IT-8, p. 58, Jan. 1962.
-
(1962)
IEEE Trans. Inform. Theory
, vol.IT-8
, pp. 58
-
-
Nadler, M.1
-
47
-
-
0000026183
-
An optimum nonlinear code
-
A. W. Nordstrom and J. P. Robinson “An optimum nonlinear code,” Info. Control, vol. 11, pp. 613–616, 1967.
-
(1967)
Info. Control
, vol.11
, pp. 613-616
-
-
Nordstrom, A.W.1
Robinson, J.P.2
-
48
-
-
84943460400
-
-
personal communication
-
H. R. Phinney, personal communication.
-
-
-
Phinney, H.R.1
-
49
-
-
33749932775
-
Binary codes with specified minimum distances
-
Sept.
-
M. Plotkin “Binary codes with specified minimum distances,” IEEE Trans. Inform. Theory, vol. IT-6, pp. 445–450, Sept. 1960.
-
(1960)
IEEE Trans. Inform. Theory
, vol.IT-6
, pp. 445-450
-
-
Plotkin, M.1
-
50
-
-
0038856118
-
On the closest packing of spheres in n dimensions
-
R. A. Rankin “On the closest packing of spheres in n dimensions,” Annals of Math., vol. 48, pp. 1062–1081, 1947.
-
(1947)
Annals of Math.
, vol.48
, pp. 1062-1081
-
-
Rankin, R.A.1
-
51
-
-
0004279601
-
-
Cambridge: Cambridge University Press
-
C. A. Rogers, Packing and Covering. Cambridge: Cambridge University Press, 1964.
-
(1964)
Packing and Covering
-
-
Rogers, C.A.1
-
52
-
-
0007939595
-
On maximal systems of k-tuples
-
J. Schönheim “On maximal systems of k-tuples,” Stud. Sci. Math. Hungar., vol. 1, pp. 363–368, 1966.
-
(1966)
Stud. Sci. Math. Hungar.
, vol.1
, pp. 363-368
-
-
Schönheim, J.1
-
53
-
-
0010767151
-
-
Englewood Cliffs, NJ: Prentice-Hall
-
M. Simonnard, Linear Programming. Englewood Cliffs, NJ: Prentice-Hall, 1966.
-
(1966)
Linear Programming
-
-
Simonnard, M.1
-
54
-
-
0042528684
-
A survey of constructive coding theory, and a table of binary codes of highest known rate
-
N. J. A. Sloane “A survey of constructive coding theory, and a table of binary codes of highest known rate,” Discrete Math., vol. 3, pp. 265–294, 1972.
-
(1972)
Discrete Math.
, vol.3
, pp. 265-294
-
-
Sloane, N.J.A.1
-
55
-
-
0040678778
-
An introduction to association schemes and coding theory
-
R. Askey, Ed. New York: Academic
-
—, “An introduction to association schemes and coding theory,” in Theory and Application of Special Functions, R. Askey, Ed. New York: Academic, 1975, pp. 225–260.
-
(1975)
Theory and Application of Special Functions
, pp. 225-260
-
-
Sloane, N.J.A.1
-
56
-
-
84939047165
-
New binary codes
-
July
-
N. J. A. Sloane, S. M. Reddy, and C. L. Chen “New binary codes,” IEEE Trans. Inform. Theory, vol. IT-18, pp. 503–510, July 1972.
-
(1972)
IEEE Trans. Inform. Theory
, vol.IT-18
, pp. 503-510
-
-
Sloane, N.J.A.1
Reddy, S.M.2
Chen, C.L.3
-
57
-
-
0037920406
-
A new family of nonlinear codes obtained from conference matrices
-
N. J. A. Sloane and J. J. Seidel “A new family of nonlinear codes obtained from conference matrices,” Annals New York Acad. of Sciences, vol. 175, pp. 363–365, 1970.
-
(1970)
Annals New York Acad. of Sciences
, vol.175
, pp. 363-365
-
-
Sloane, N.J.A.1
Seidel, J.J.2
-
58
-
-
0014872746
-
A new family of single-error correcting codes
-
Nov.
-
N. J. A. Sloane and D. S. Whitehead “A new family of single-error correcting codes,” IEEE Trans. Inform. Theory, vol. IT-16, pp. 717–719, Nov. 1970.
-
(1970)
IEEE Trans. Inform. Theory
, vol.IT-16
, pp. 717-719
-
-
Sloane, N.J.A.1
Whitehead, D.S.2
-
60
-
-
0039313605
-
Maximal consistent families of triples
-
J. Spencer “Maximal consistent families of triples,” J. Combinatorial Theory, vol. 5, pp. 1–8, 1968.
-
(1968)
J. Combinatorial Theory
, vol.5
, pp. 1-8
-
-
Spencer, J.1
-
61
-
-
0040107699
-
Covering and packing designs
-
R. C. Bose et al., Eds., Chapel Hill, NC
-
R. G. Stanton, J. G. Kalbfleisch, and R. C. Mullin, “Covering and packing designs,” in Proc. 2nd Chapel Hill Conf. Combinatorial Mathematics and its Applications, R. C. Bose et al., Eds., Chapel Hill, NC, 1970, pp. 428–450.
-
(1970)
Proc. 2nd Chapel Hill Conf. Combinatorial Mathematics and its Applications
, pp. 428-450
-
-
Stanton, R.G.1
Kalbfleisch, J.G.2
Mullin, R.C.3
-
62
-
-
84937648879
-
The heuristic generation of large error-correcting codes
-
unpublished memorandum, IBM Research Center, Yorktown Heights, Aug. 1
-
R. F. Stevens and W. G. Bouricius, “The heuristic generation of large error-correcting codes,” unpublished memorandum, IBM Research Center, Yorktown Heights, Aug. 1, 1959.
-
(1959)
-
-
Stevens, R.F.1
Bouricius, W.G.2
-
63
-
-
84943459082
-
Determination of a Packing Number
-
preprint
-
D. Stinson, “Determination of a Packing Number,” preprint.
-
-
-
Stinson, D.1
-
65
-
-
84943458776
-
A (14,6,7) < 52 or the nonexistence of a certain constant weight code
-
Math. Centre Report ZW71, Amsterdam
-
W. G. Valiant, “A (14,6,7) < 52 or the nonexistence of a certain constant weight code,” Math. Centre Report ZW71, Amsterdam, 1976.
-
(1976)
-
-
Valiant, W.G.1
-
66
-
-
0141933112
-
On upper bounds for error detecting and error-correcting codes of finite length
-
N. Wax “On upper bounds for error detecting and error-correcting codes of finite length,” IEEE Trans. Inform. Theory, vol. IT-5, pp. 168–174, 1959.
-
(1959)
IEEE Trans. Inform. Theory
, vol.IT-5
, pp. 168-174
-
-
Wax, N.1
-
67
-
-
84876822232
-
The construction of group-divisible designs and partial planes having the maximum number of lines of a given size
-
R. C. Bose et al., Eds., Chapel Hill, NC
-
R. M. Wilson, “The construction of group-divisible designs and partial planes having the maximum number of lines of a given size,” in Proc. 2nd Chapel Hill Conf. Combinatorial Mathematics and its Applications, R. C. Bose et al., Eds., Chapel Hill, NC, 1970, pp. 488–497.
-
(1970)
Proc. 2nd Chapel Hill Conf. Combinatorial Mathematics and its Applications
, pp. 488-497
-
-
Wilson, R.M.1
-
68
-
-
49649132309
-
An existence theory for pairwise balanced designs, I
-
“II,” ibid., vol. 13A, pp. 246–273, 1972; “III,” ibid., vol. 18A, pp. 71–79, 1975
-
— “An existence theory for pairwise balanced designs, I,” J. Combinatorial Theory vol. 13A, pp. 220–245, 1972; “II,” ibid., vol. 13A, pp. 246–273, 1972; “III,” ibid., vol. 18A, pp. 71–79, 1975.
-
(1972)
J. Combinatorial Theory
, vol.13 A
, pp. 220-245
-
-
Wilson, R.M.1
-
69
-
-
84951602583
-
Über Steinersche Systeme
-
E. Witt “Über Steinersche Systeme,” Abh. Math. Sem. Univ. Hamburg, vol. 12, pp. 265–275, 1938.
-
(1938)
Abh. Math. Sem. Univ. Hamburg
, vol.12
, pp. 265-275
-
-
Witt, E.1
|