Information on Result #644708
Linear OA(1662, 64, F16, 56) (dual of [64, 2, 57]-code), using algebraic-geometric code AG(F,7P) 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(1663, 67, F16, 56) (dual of [67, 4, 57]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(1664, 69, F16, 56) (dual of [69, 5, 57]-code) | [i] | ✔ | |
| 3 | Linear OA(1665, 71, F16, 56) (dual of [71, 6, 57]-code) | [i] | ✔ | |
| 4 | Linear OA(1666, 73, F16, 56) (dual of [73, 7, 57]-code) | [i] | ✔ | |
| 5 | Linear OA(1667, 75, F16, 56) (dual of [75, 8, 57]-code) | [i] | ✔ | |
| 6 | Linear OA(1668, 77, F16, 56) (dual of [77, 9, 57]-code) | [i] | ✔ | |
| 7 | Linear OA(1669, 79, F16, 56) (dual of [79, 10, 57]-code) | [i] | ✔ | |
| 8 | Linear OA(1670, 81, F16, 56) (dual of [81, 11, 57]-code) | [i] | ✔ | |
| 9 | Linear OA(1673, 86, F16, 56) (dual of [86, 13, 57]-code) | [i] | ✔ | |
| 10 | Linear OA(1674, 88, F16, 56) (dual of [88, 14, 57]-code) | [i] | ✔ | |
| 11 | Linear OA(1676, 91, F16, 56) (dual of [91, 15, 57]-code) | [i] | ✔ | |
| 12 | Linear OA(1677, 93, F16, 56) (dual of [93, 16, 57]-code) | [i] | ✔ | |
| 13 | Linear OA(1678, 95, F16, 56) (dual of [95, 17, 57]-code) | [i] | ✔ | |
| 14 | Linear OA(1679, 97, F16, 56) (dual of [97, 18, 57]-code) | [i] | ✔ | |
| 15 | Linear OA(1681, 100, F16, 56) (dual of [100, 19, 57]-code) | [i] | ✔ | |
| 16 | Linear OA(1682, 102, F16, 56) (dual of [102, 20, 57]-code) | [i] | ✔ | |
| 17 | Linear OA(1684, 105, F16, 56) (dual of [105, 21, 57]-code) | [i] | ✔ | |
| 18 | Linear OA(1685, 107, F16, 56) (dual of [107, 22, 57]-code) | [i] | ✔ | |
| 19 | Linear OA(1686, 109, F16, 56) (dual of [109, 23, 57]-code) | [i] | ✔ | |
| 20 | Linear OA(1688, 112, F16, 56) (dual of [112, 24, 57]-code) | [i] | ✔ | |
| 21 | Linear OA(1690, 115, F16, 56) (dual of [115, 25, 57]-code) | [i] | ✔ | |
| 22 | Linear OA(1691, 117, F16, 56) (dual of [117, 26, 57]-code) | [i] | ✔ | |
| 23 | Linear OA(1692, 119, F16, 56) (dual of [119, 27, 57]-code) | [i] | ✔ | |
| 24 | Linear OA(1693, 121, F16, 56) (dual of [121, 28, 57]-code) | [i] | ✔ | |
| 25 | Linear OA(1694, 123, F16, 56) (dual of [123, 29, 57]-code) | [i] | ✔ | |
| 26 | Linear OA(1695, 125, F16, 56) (dual of [125, 30, 57]-code) | [i] | ✔ | |