Information on Result #622507
Linear OA(1651, 65, F16, 45) (dual of [65, 14, 46]-code), using extended algebraic-geometric code AGe(F,19P) based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(16116, 130, F16, 91) (dual of [130, 14, 92]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4102, 130, F4, 45) (dual of [130, 28, 46]-code) | [i] | Trace Code | |
| 3 | Linear OA(1678, 114, F16, 45) (dual of [114, 36, 46]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(1679, 130, F16, 45) (dual of [130, 51, 46]-code) | [i] | ||
| 5 | Linear OA(1674, 88, F16, 54) (dual of [88, 14, 55]-code) | [i] | Juxtaposition | |
| 6 | Linear OA(1675, 89, F16, 55) (dual of [89, 14, 56]-code) | [i] | ||
| 7 | Linear OA(1677, 91, F16, 56) (dual of [91, 14, 57]-code) | [i] | ||
| 8 | Linear OA(1678, 92, F16, 57) (dual of [92, 14, 58]-code) | [i] | ||
| 9 | Linear OA(1679, 93, F16, 58) (dual of [93, 14, 59]-code) | [i] | ||
| 10 | Linear OA(1680, 94, F16, 59) (dual of [94, 14, 60]-code) | [i] | ||
| 11 | Linear OA(1681, 95, F16, 60) (dual of [95, 14, 61]-code) | [i] | ||
| 12 | Linear OA(1682, 96, F16, 61) (dual of [96, 14, 62]-code) | [i] | ||
| 13 | Linear OA(1683, 97, F16, 62) (dual of [97, 14, 63]-code) | [i] | ||
| 14 | Linear OA(1684, 98, F16, 63) (dual of [98, 14, 64]-code) | [i] | ||
| 15 | Linear OA(1686, 100, F16, 64) (dual of [100, 14, 65]-code) | [i] | ||
| 16 | Linear OA(1687, 101, F16, 65) (dual of [101, 14, 66]-code) | [i] | ||
| 17 | Linear OA(1688, 102, F16, 66) (dual of [102, 14, 67]-code) | [i] | ||
| 18 | Linear OA(1689, 103, F16, 67) (dual of [103, 14, 68]-code) | [i] | ||
| 19 | Linear OA(1691, 105, F16, 68) (dual of [105, 14, 69]-code) | [i] | ||
| 20 | Linear OA(1692, 106, F16, 69) (dual of [106, 14, 70]-code) | [i] | ||
| 21 | Linear OA(1693, 107, F16, 70) (dual of [107, 14, 71]-code) | [i] | ||
| 22 | Linear OA(1694, 108, F16, 71) (dual of [108, 14, 72]-code) | [i] | ||
| 23 | Linear OA(1695, 109, F16, 72) (dual of [109, 14, 73]-code) | [i] | ||
| 24 | Linear OA(1696, 110, F16, 73) (dual of [110, 14, 74]-code) | [i] | ||
| 25 | Linear OA(1698, 112, F16, 74) (dual of [112, 14, 75]-code) | [i] | ||
| 26 | Linear OA(1699, 113, F16, 75) (dual of [113, 14, 76]-code) | [i] | ||
| 27 | Linear OA(16100, 114, F16, 76) (dual of [114, 14, 77]-code) | [i] | ||
| 28 | Linear OA(16118, 132, F16, 92) (dual of [132, 14, 93]-code) | [i] | ||
| 29 | Linear OA(16122, 136, F16, 94) (dual of [136, 14, 95]-code) | [i] | ||
| 30 | Linear OA(16126, 140, F16, 96) (dual of [140, 14, 97]-code) | [i] | ||
| 31 | Linear OA(4167, 195, F4, 91) (dual of [195, 28, 92]-code) | [i] | Concatenation of Two Codes | |
| 32 | Linear OA(4232, 260, F4, 137) (dual of [260, 28, 138]-code) | [i] | ||