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Some new distance-4 constant weight codes
1. | Dept. of Math., Techn. Univ. Eindhoven, P. O. Box 513, 5600MB Eindhoven, Netherlands |
2. | Department of Computer Science, Technion, Haifa 32000 |
References:
[1] |
, http://www.win.tue.nl/~aeb/codes/andw.html, , (). Google Scholar |
[2] |
A. Betten, R. Laue and A. Wassermann, A Steiner 5-design on 36 points,, Des. Codes Crypt., 17 (1999), 181.
doi: 10.1023/A:1026427226213. |
[3] |
A. E. Brouwer, J. B. Shearer, N. J. A. Sloane and W. D. Smith, A new table of constant weight codes,, IEEE Trans. Inform. Theory, 36 (1990), 1334.
doi: 10.1109/18.59932. |
[4] |
R. H. F. Denniston, Sylvester's problem of the 15 school-girls,, Discr. Math., 9 (1974), 229.
doi: 10.1016/0012-365X(74)90004-1. |
[5] |
R. H. F. Denniston, Some new 5-designs,, Bull. London Math. Soc., 8 (1976), 263.
doi: 10.1112/blms/8.3.263. |
[6] |
T. Etzion, Optimal partitions for triples,, J. Combin. Theory (A), 59 (1992), 161.
doi: 10.1016/0097-3165(92)90062-Y. |
[7] |
T. Etzion, Partitions of triples into optimal packings,, J. Combin. Theory (A), 59 (1992), 269.
doi: 10.1016/0097-3165(92)90069-7. |
[8] |
T. Etzion, Partitions for quadruples,, Ars Combin., 36 (1993), 296.
|
[9] |
T. Etzion and S. Bitan, On the chromatic number, colorings, and codes of the Johnson graph,, Discr. Appl. Math., 70 (1996), 163.
doi: 10.1016/0166-218X(96)00104-7. |
[10] |
T. Etzion and P. R. J. Östergård, Greedy and heuristic algorithms for codes and colorings,, IEEE Trans. Inform. Theory, 44 (1998), 382.
doi: 10.1109/18.651069. |
[11] |
T. Etzion and C. L. M. van Pul, New lower bounds for constant weight codes,, IEEE Trans. Inform. Theory, 35 (1989), 1324.
doi: 10.1109/18.45293. |
[12] |
R. L. Graham and N. J. A. Sloane, Lower bounds for constant weight codes,, IEEE Trans. Inform. Theory, 26 (1980), 37.
doi: 10.1109/TIT.1980.1056141. |
[13] |
L. J. Ji, A new existence proof for large sets of disjoint Steiner triple systems,, J. Combin. Theory (A), 112 (2005), 308.
doi: 10.1016/j.jcta.2005.06.005. |
[14] |
L. J. Ji, Partition of triples of order $6k+5$ into $6k+3$ optimal packings and one packing of size $8k+4$,, Graphs Combin., 22 (2006), 251.
doi: 10.1007/s00373-005-0632-1. |
[15] |
J. X. Lu, On large sets of disjoint Steiner triple systems I, II, III,, J. Combin. Theory (A), 34 (1983), 140.
|
[16] |
N. S. Mendelsohn and S. H. Y. Hung, On the Steiner systems $S(3,4,14)$ and $S(4,5,15)$,, Utilitas Math., 1 (1972), 5.
|
[17] |
K. J. Nurmela, M. K. Kaikkonen and P. R. J. Östergård, New constant weight codes from linear permutation groups,, IEEE Trans. Inform. Theory, 43 (1997), 1623.
doi: 10.1109/18.623163. |
[18] |
D. H. Smith, L. A. Hughes and S. Perkins, A new table of constant weight codes of length greater than 28,, Electronic J. Combin., 13 (2006).
|
[19] |
L. Teirlinck, A completion of Lu's determination of the spectrum of large sets of disjoint Steiner Triple systems,, J. Combin. Theory (A), 57 (1991), 302.
doi: 10.1016/0097-3165(91)90053-J. |
show all references
References:
[1] |
, http://www.win.tue.nl/~aeb/codes/andw.html, , (). Google Scholar |
[2] |
A. Betten, R. Laue and A. Wassermann, A Steiner 5-design on 36 points,, Des. Codes Crypt., 17 (1999), 181.
doi: 10.1023/A:1026427226213. |
[3] |
A. E. Brouwer, J. B. Shearer, N. J. A. Sloane and W. D. Smith, A new table of constant weight codes,, IEEE Trans. Inform. Theory, 36 (1990), 1334.
doi: 10.1109/18.59932. |
[4] |
R. H. F. Denniston, Sylvester's problem of the 15 school-girls,, Discr. Math., 9 (1974), 229.
doi: 10.1016/0012-365X(74)90004-1. |
[5] |
R. H. F. Denniston, Some new 5-designs,, Bull. London Math. Soc., 8 (1976), 263.
doi: 10.1112/blms/8.3.263. |
[6] |
T. Etzion, Optimal partitions for triples,, J. Combin. Theory (A), 59 (1992), 161.
doi: 10.1016/0097-3165(92)90062-Y. |
[7] |
T. Etzion, Partitions of triples into optimal packings,, J. Combin. Theory (A), 59 (1992), 269.
doi: 10.1016/0097-3165(92)90069-7. |
[8] |
T. Etzion, Partitions for quadruples,, Ars Combin., 36 (1993), 296.
|
[9] |
T. Etzion and S. Bitan, On the chromatic number, colorings, and codes of the Johnson graph,, Discr. Appl. Math., 70 (1996), 163.
doi: 10.1016/0166-218X(96)00104-7. |
[10] |
T. Etzion and P. R. J. Östergård, Greedy and heuristic algorithms for codes and colorings,, IEEE Trans. Inform. Theory, 44 (1998), 382.
doi: 10.1109/18.651069. |
[11] |
T. Etzion and C. L. M. van Pul, New lower bounds for constant weight codes,, IEEE Trans. Inform. Theory, 35 (1989), 1324.
doi: 10.1109/18.45293. |
[12] |
R. L. Graham and N. J. A. Sloane, Lower bounds for constant weight codes,, IEEE Trans. Inform. Theory, 26 (1980), 37.
doi: 10.1109/TIT.1980.1056141. |
[13] |
L. J. Ji, A new existence proof for large sets of disjoint Steiner triple systems,, J. Combin. Theory (A), 112 (2005), 308.
doi: 10.1016/j.jcta.2005.06.005. |
[14] |
L. J. Ji, Partition of triples of order $6k+5$ into $6k+3$ optimal packings and one packing of size $8k+4$,, Graphs Combin., 22 (2006), 251.
doi: 10.1007/s00373-005-0632-1. |
[15] |
J. X. Lu, On large sets of disjoint Steiner triple systems I, II, III,, J. Combin. Theory (A), 34 (1983), 140.
|
[16] |
N. S. Mendelsohn and S. H. Y. Hung, On the Steiner systems $S(3,4,14)$ and $S(4,5,15)$,, Utilitas Math., 1 (1972), 5.
|
[17] |
K. J. Nurmela, M. K. Kaikkonen and P. R. J. Östergård, New constant weight codes from linear permutation groups,, IEEE Trans. Inform. Theory, 43 (1997), 1623.
doi: 10.1109/18.623163. |
[18] |
D. H. Smith, L. A. Hughes and S. Perkins, A new table of constant weight codes of length greater than 28,, Electronic J. Combin., 13 (2006).
|
[19] |
L. Teirlinck, A completion of Lu's determination of the spectrum of large sets of disjoint Steiner Triple systems,, J. Combin. Theory (A), 57 (1991), 302.
doi: 10.1016/0097-3165(91)90053-J. |
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