Information on Result #644714
Linear OA(1658, 64, F16, 52) (dual of [64, 6, 53]-code), using algebraic-geometric code AG(F,11P) 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(1661, 67, F16, 54) (dual of [67, 6, 55]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(1659, 67, F16, 52) (dual of [67, 8, 53]-code) | [i] | ✔ | |
| 3 | Linear OA(1663, 69, F16, 55) (dual of [69, 6, 56]-code) | [i] | ✔ | |
| 4 | Linear OA(1660, 69, F16, 52) (dual of [69, 9, 53]-code) | [i] | ✔ | |
| 5 | Linear OA(1665, 71, F16, 56) (dual of [71, 6, 57]-code) | [i] | ✔ | |
| 6 | Linear OA(1661, 71, F16, 52) (dual of [71, 10, 53]-code) | [i] | ✔ | |
| 7 | Linear OA(1662, 73, F16, 52) (dual of [73, 11, 53]-code) | [i] | ✔ | |
| 8 | Linear OA(1663, 75, F16, 52) (dual of [75, 12, 53]-code) | [i] | ✔ | |
| 9 | Linear OA(1664, 77, F16, 52) (dual of [77, 13, 53]-code) | [i] | ✔ | |
| 10 | Linear OA(1665, 79, F16, 52) (dual of [79, 14, 53]-code) | [i] | ✔ | |
| 11 | Linear OA(1666, 81, F16, 52) (dual of [81, 15, 53]-code) | [i] | ✔ | |
| 12 | Linear OA(1668, 84, F16, 52) (dual of [84, 16, 53]-code) | [i] | ✔ | |
| 13 | Linear OA(1669, 86, F16, 52) (dual of [86, 17, 53]-code) | [i] | ✔ | |
| 14 | Linear OA(1670, 88, F16, 52) (dual of [88, 18, 53]-code) | [i] | ✔ | |
| 15 | Linear OA(1672, 91, F16, 52) (dual of [91, 19, 53]-code) | [i] | ✔ | |
| 16 | Linear OA(1673, 93, F16, 52) (dual of [93, 20, 53]-code) | [i] | ✔ | |
| 17 | Linear OA(1674, 95, F16, 52) (dual of [95, 21, 53]-code) | [i] | ✔ | |
| 18 | Linear OA(1675, 97, F16, 52) (dual of [97, 22, 53]-code) | [i] | ✔ | |
| 19 | Linear OA(1677, 100, F16, 52) (dual of [100, 23, 53]-code) | [i] | ✔ | |
| 20 | Linear OA(1678, 102, F16, 52) (dual of [102, 24, 53]-code) | [i] | ✔ | |
| 21 | Linear OA(1680, 105, F16, 52) (dual of [105, 25, 53]-code) | [i] | ✔ | |
| 22 | Linear OA(1681, 107, F16, 52) (dual of [107, 26, 53]-code) | [i] | ✔ | |
| 23 | Linear OA(1682, 109, F16, 52) (dual of [109, 27, 53]-code) | [i] | ✔ | |
| 24 | Linear OA(1684, 112, F16, 52) (dual of [112, 28, 53]-code) | [i] | ✔ | |
| 25 | Linear OA(1686, 115, F16, 52) (dual of [115, 29, 53]-code) | [i] | ✔ | |
| 26 | Linear OA(1687, 117, F16, 52) (dual of [117, 30, 53]-code) | [i] | ✔ | |
| 27 | Linear OOA(1658, 32, F16, 2, 52) (dual of [(32, 2), 6, 53]-NRT-code) | [i] | OOA Folding | |