Research Article
Hermitian Self-Orthogonal Constacyclic Codes over Finite Fields
Table 1
Number of Hermitian self-orthogonal codes over
.
| | | | |
| 2
| 2 | 2 | 3 | 4 | 4 | 9 | 6 | 6 | 27 | 8 | 4 | 9 | 11 | 2 | 3 | 12 | 12 | 729 | 13 | 6 | 27 | 14 | 6 | 27 | 16 | 4 | 9 | 17 | 2 | 3 | 18 | 10 | 243 | 19 | 2 | 3 | 22 | 6 | 27 | 24 | 12 | 729 |
| 3
| 4 | 2 | 3 | 8 | 6 | 27 | 11 | 2 | 3 | 12 | 2 | 3 | 13 | 6 | 27 | 16 | 10 | 243 | 17 | 2 | 3 | 19 | 2 | 3 | 22 | 4 | 9 | 24 | 6 | 27 | 26 | 12 | 729 | 28 | 6 | 27 | 31 | 10 | 243 | 32 | 14 | 2187 |
| 6
| 2 | 2 | 3 | 4 | 4 | 9 | 6 | 2 | 3 | 8 | 4 | 9 | 11 | 2 | 3 | 12 | 4 | 9 | 13 | 6 | 27 | 14 | 6 | 27 | 16 | 4 | 9 | 17 | 2 | 3 | 18 | 2 | 3 | 19 | 2 | 3 | 22 | 6 | 27 | 24 | 4 | 9 |
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