This page lists generator matrices of quaternary (unrestricted) [n,k] codes
given in the following paper:
Makoto Araya and Masaaki Harada,
On the minimum weights of quaternary Hermitian LCD codes, preprint.
Table 1: Numbers Nw(n, k, d) and N(n, k, d)
(n,k,d) | Generator matrix |
(14,5, 8) | 9 |
(15,4,10) | 1 |
(15,6, 8) | 3 |
(16,4,11) | 1 |
(17,4,12) | 1 |
(18,4,12) | 26 |
(22,4,15) | 24 |
(23,4,16) | 4 |
(23,5,15) | 3 |
(24,5,16) | 1 |
(27,4,19) | 4 |
(28,4,20) | 1 |
(30,4,21) | 6 |
Table 7: Numbers of inequivalent quaternary (unrestricted) [n,k] codes
n\k | 1 | 2 | 3 | 4 | 5 | 6 |
1 | 1 | |||||
2 | 2 | |||||
3 | 3 | |||||
4 | 4 | 7 | ||||
5 | 5 | 13 | ||||
6 | 6 | 22 | 37 | |||
7 | 7 | 34 | 92 | |||
8 | 8 | 51 | 223 | 415 | ||
9 | 9 | 73 | 541 | 2199 | ||
10 | 10 | 103 | 1313 | 14293 | 38676 | |
11 | 11 | 140 | 3194 | 103730 | 962654 | |
12 | 12 | 188 | 7762 | 772652 | 26087225 |
Appendix: orders of the automorphism group of [n,k] codes in Table 7
n\k | 1 | 2 | 3 | 4 | 5 | 6 |
1 | 1 | |||||
2 | 2 | |||||
3 | 3 | |||||
4 | 4 | 7 | ||||
5 | 5 | 13 | ||||
6 | 6 | 22 | 37 | |||
7 | 7 | 34 | 92 | |||
8 | 8 | 51 | 223 | 415 | ||
9 | 9 | 73 | 541 | 2199 | ||
10 | 10 | 103 | 1313 | 14293 | 38676 | |
11 | 11 | 140 | 3194 | 103730 | 962654 | |
12 | 12 | 188 | 7762 | 772652 | 26087225 |
This page lists generator matrices of some ternary codes
given in the following paper:
Makoto Araya and Masaaki Harada,
On the classification of certain ternary codes of length 12, Hiroshima Mathematical Journal, Volume 45, Number 1, 2016, Pages 87-96.
This page lists generator matrices of some optimal codes
over F5
given in the following paper:
Makoto Araya and Masaaki Harada,
On Some Optimal Linear Codes over F5,
Discrete Mathematics,
Volume 313, Issue 24, 28 December 2013, Pages 2872--2874.