Information on Result #622506
Linear OA(1650, 65, F16, 44) (dual of [65, 15, 45]-code), using extended algebraic-geometric code AGe(F,20P) 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(16115, 130, F16, 89) (dual of [130, 15, 90]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4100, 130, F4, 44) (dual of [130, 30, 45]-code) | [i] | Trace Code | |
| 3 | Linear OA(1677, 114, F16, 44) (dual of [114, 37, 45]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(1678, 130, F16, 44) (dual of [130, 52, 45]-code) | [i] | ||
| 5 | Linear OA(1674, 89, F16, 53) (dual of [89, 15, 54]-code) | [i] | Juxtaposition | |
| 6 | Linear OA(1676, 91, F16, 54) (dual of [91, 15, 55]-code) | [i] | ||
| 7 | Linear OA(1677, 92, F16, 55) (dual of [92, 15, 56]-code) | [i] | ||
| 8 | Linear OA(1678, 93, F16, 56) (dual of [93, 15, 57]-code) | [i] | ||
| 9 | Linear OA(1679, 94, F16, 57) (dual of [94, 15, 58]-code) | [i] | ||
| 10 | Linear OA(1680, 95, F16, 58) (dual of [95, 15, 59]-code) | [i] | ||
| 11 | Linear OA(1681, 96, F16, 59) (dual of [96, 15, 60]-code) | [i] | ||
| 12 | Linear OA(1682, 97, F16, 60) (dual of [97, 15, 61]-code) | [i] | ||
| 13 | Linear OA(1683, 98, F16, 61) (dual of [98, 15, 62]-code) | [i] | ||
| 14 | Linear OA(1685, 100, F16, 62) (dual of [100, 15, 63]-code) | [i] | ||
| 15 | Linear OA(1686, 101, F16, 63) (dual of [101, 15, 64]-code) | [i] | ||
| 16 | Linear OA(1687, 102, F16, 64) (dual of [102, 15, 65]-code) | [i] | ||
| 17 | Linear OA(1688, 103, F16, 65) (dual of [103, 15, 66]-code) | [i] | ||
| 18 | Linear OA(1690, 105, F16, 66) (dual of [105, 15, 67]-code) | [i] | ||
| 19 | Linear OA(1691, 106, F16, 67) (dual of [106, 15, 68]-code) | [i] | ||
| 20 | Linear OA(1692, 107, F16, 68) (dual of [107, 15, 69]-code) | [i] | ||
| 21 | Linear OA(1693, 108, F16, 69) (dual of [108, 15, 70]-code) | [i] | ||
| 22 | Linear OA(1694, 109, F16, 70) (dual of [109, 15, 71]-code) | [i] | ||
| 23 | Linear OA(1695, 110, F16, 71) (dual of [110, 15, 72]-code) | [i] | ||
| 24 | Linear OA(1697, 112, F16, 72) (dual of [112, 15, 73]-code) | [i] | ||
| 25 | Linear OA(1698, 113, F16, 73) (dual of [113, 15, 74]-code) | [i] | ||
| 26 | Linear OA(1699, 114, F16, 74) (dual of [114, 15, 75]-code) | [i] | ||
| 27 | Linear OA(16117, 132, F16, 90) (dual of [132, 15, 91]-code) | [i] | ||
| 28 | Linear OA(16121, 136, F16, 92) (dual of [136, 15, 93]-code) | [i] | ||
| 29 | Linear OA(16125, 140, F16, 94) (dual of [140, 15, 95]-code) | [i] | ||
| 30 | Linear OA(16129, 144, F16, 96) (dual of [144, 15, 97]-code) | [i] | ||
| 31 | Linear OA(4165, 195, F4, 89) (dual of [195, 30, 90]-code) | [i] | Concatenation of Two Codes | |
| 32 | Linear OA(4230, 260, F4, 134) (dual of [260, 30, 135]-code) | [i] | ||