Information on Result #644936
Linear OA(1663, 64, F16, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,16)), using algebraic-geometric code AG(F,0P) 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.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1663, 64, F16, 62) (dual of [64, 1, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(1663, 64, F16, 61) (dual of [64, 1, 62]-code) | [i] | ||
| 3 | Linear OA(16100, 128, F16, 63) (dual of [128, 28, 64]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(1674, 81, F16, 63) (dual of [81, 7, 64]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 5 | Linear OA(1676, 84, F16, 63) (dual of [84, 8, 64]-code) | [i] | ✔ | |
| 6 | Linear OA(1673, 81, F16, 61) (dual of [81, 8, 62]-code) | [i] | ✔ | |
| 7 | Linear OA(1677, 86, F16, 63) (dual of [86, 9, 64]-code) | [i] | ✔ | |
| 8 | Linear OA(1672, 81, F16, 59) (dual of [81, 9, 60]-code) | [i] | ✔ | |
| 9 | Linear OA(1678, 88, F16, 63) (dual of [88, 10, 64]-code) | [i] | ✔ | |
| 10 | Linear OA(1671, 81, F16, 57) (dual of [81, 10, 58]-code) | [i] | ✔ | |
| 11 | Linear OA(1680, 91, F16, 63) (dual of [91, 11, 64]-code) | [i] | ✔ | |
| 12 | Linear OA(1677, 88, F16, 61) (dual of [88, 11, 62]-code) | [i] | ✔ | |
| 13 | Linear OA(1681, 93, F16, 63) (dual of [93, 12, 64]-code) | [i] | ✔ | |
| 14 | Linear OA(1676, 88, F16, 59) (dual of [88, 12, 60]-code) | [i] | ✔ | |
| 15 | Linear OA(1682, 95, F16, 63) (dual of [95, 13, 64]-code) | [i] | ✔ | |
| 16 | Linear OA(1675, 88, F16, 57) (dual of [88, 13, 58]-code) | [i] | ✔ | |
| 17 | Linear OA(1683, 97, F16, 63) (dual of [97, 14, 64]-code) | [i] | ✔ | |
| 18 | Linear OA(1685, 100, F16, 63) (dual of [100, 15, 64]-code) | [i] | ✔ | |
| 19 | Linear OA(1682, 97, F16, 61) (dual of [97, 15, 62]-code) | [i] | ✔ | |
| 20 | Linear OA(1686, 102, F16, 63) (dual of [102, 16, 64]-code) | [i] | ✔ | |
| 21 | Linear OA(1681, 97, F16, 59) (dual of [97, 16, 60]-code) | [i] | ✔ | |
| 22 | Linear OA(1688, 105, F16, 63) (dual of [105, 17, 64]-code) | [i] | ✔ | |
| 23 | Linear OA(1685, 102, F16, 61) (dual of [102, 17, 62]-code) | [i] | ✔ | |
| 24 | Linear OA(1680, 97, F16, 57) (dual of [97, 17, 58]-code) | [i] | ✔ | |
| 25 | Linear OA(1689, 107, F16, 63) (dual of [107, 18, 64]-code) | [i] | ✔ | |
| 26 | Linear OA(1684, 102, F16, 59) (dual of [102, 18, 60]-code) | [i] | ✔ | |
| 27 | Linear OA(1690, 109, F16, 63) (dual of [109, 19, 64]-code) | [i] | ✔ | |
| 28 | Linear OA(1683, 102, F16, 57) (dual of [102, 19, 58]-code) | [i] | ✔ | |
| 29 | Linear OA(1692, 112, F16, 63) (dual of [112, 20, 64]-code) | [i] | ✔ | |
| 30 | Linear OA(1689, 109, F16, 61) (dual of [109, 20, 62]-code) | [i] | ✔ | |
| 31 | Linear OA(1694, 115, F16, 63) (dual of [115, 21, 64]-code) | [i] | ✔ | |
| 32 | Linear OA(1692, 113, F16, 62) (dual of [113, 21, 63]-code) | [i] | ✔ | |
| 33 | Linear OA(1688, 109, F16, 59) (dual of [109, 21, 60]-code) | [i] | ✔ | |
| 34 | Linear OA(1695, 117, F16, 63) (dual of [117, 22, 64]-code) | [i] | ✔ | |
| 35 | Linear OA(1691, 113, F16, 60) (dual of [113, 22, 61]-code) | [i] | ✔ | |
| 36 | Linear OA(1687, 109, F16, 57) (dual of [109, 22, 58]-code) | [i] | ✔ | |
| 37 | Linear OA(1696, 119, F16, 63) (dual of [119, 23, 64]-code) | [i] | ✔ | |
| 38 | Linear OA(1690, 113, F16, 58) (dual of [113, 23, 59]-code) | [i] | ✔ | |
| 39 | Linear OA(1697, 121, F16, 63) (dual of [121, 24, 64]-code) | [i] | ✔ | |
| 40 | Linear OA(1698, 123, F16, 63) (dual of [123, 25, 64]-code) | [i] | ✔ | |
| 41 | Linear OA(1699, 125, F16, 63) (dual of [125, 26, 64]-code) | [i] | ✔ | |
| 42 | Linear OA(16100, 127, F16, 63) (dual of [127, 27, 64]-code) | [i] | ✔ | |
| 43 | Linear OA(16101, 129, F16, 63) (dual of [129, 28, 64]-code) | [i] | ✔ | |
| 44 | Linear OA(16100, 129, F16, 61) (dual of [129, 29, 62]-code) | [i] | ✔ | |
| 45 | Linear OA(1670, 74, F16, 63) (dual of [74, 4, 64]-code) | [i] | ✔ | |
| 46 | Linear OA(1671, 76, F16, 63) (dual of [76, 5, 64]-code) | [i] | ✔ | |
| 47 | Linear OA(1672, 78, F16, 63) (dual of [78, 6, 64]-code) | [i] | ✔ | |
| 48 | Linear OA(1674, 82, F16, 62) (dual of [82, 8, 63]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 49 | Linear OA(1673, 82, F16, 60) (dual of [82, 9, 61]-code) | [i] | ✔ | |
| 50 | Linear OA(1672, 82, F16, 58) (dual of [82, 10, 59]-code) | [i] | ✔ | |
| 51 | Linear OA(1678, 89, F16, 62) (dual of [89, 11, 63]-code) | [i] | ✔ | |
| 52 | Linear OA(1677, 89, F16, 60) (dual of [89, 12, 61]-code) | [i] | ✔ | |
| 53 | Linear OA(1676, 89, F16, 58) (dual of [89, 13, 59]-code) | [i] | ✔ | |