On the minimum weights of quaternary Hermitian LCD codes


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


On the classification of certain ternary codes of length 12


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.

Theorem 1

Proposition 5



On Some Optimal Linear Codes over F5


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.

Table 1:

Table 2:

Table 3: