Information on Result #658603
Linear OA(1662, 64, F16, 59) (dual of [64, 2, 60]-code), using algebraic-geometric code AG(F,4P) with known gap numbers 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(1665, 69, F16, 59) (dual of [69, 4, 60]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(1666, 71, F16, 59) (dual of [71, 5, 60]-code) | [i] | ✔ | |
| 3 | Linear OA(1667, 73, F16, 59) (dual of [73, 6, 60]-code) | [i] | ✔ | |
| 4 | Linear OA(1669, 76, F16, 59) (dual of [76, 7, 60]-code) | [i] | ✔ | |
| 5 | Linear OA(1670, 78, F16, 59) (dual of [78, 8, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(1671, 80, F16, 59) (dual of [80, 9, 60]-code) | [i] | ✔ | |
| 7 | Linear OA(1673, 83, F16, 59) (dual of [83, 10, 60]-code) | [i] | ✔ | |
| 8 | Linear OA(1674, 85, F16, 59) (dual of [85, 11, 60]-code) | [i] | ✔ | |
| 9 | Linear OA(1675, 87, F16, 59) (dual of [87, 12, 60]-code) | [i] | ✔ | |
| 10 | Linear OA(1677, 90, F16, 59) (dual of [90, 13, 60]-code) | [i] | ✔ | |
| 11 | Linear OA(1678, 92, F16, 59) (dual of [92, 14, 60]-code) | [i] | ✔ | |
| 12 | Linear OA(1679, 94, F16, 59) (dual of [94, 15, 60]-code) | [i] | ✔ | |
| 13 | Linear OA(1680, 96, F16, 59) (dual of [96, 16, 60]-code) | [i] | ✔ | |
| 14 | Linear OA(1682, 99, F16, 59) (dual of [99, 17, 60]-code) | [i] | ✔ | |
| 15 | Linear OA(1683, 101, F16, 59) (dual of [101, 18, 60]-code) | [i] | ✔ | |
| 16 | Linear OA(1685, 104, F16, 59) (dual of [104, 19, 60]-code) | [i] | ✔ | |
| 17 | Linear OA(1686, 106, F16, 59) (dual of [106, 20, 60]-code) | [i] | ✔ | |
| 18 | Linear OA(1687, 108, F16, 59) (dual of [108, 21, 60]-code) | [i] | ✔ | |
| 19 | Linear OA(1689, 111, F16, 59) (dual of [111, 22, 60]-code) | [i] | ✔ | |
| 20 | Linear OA(1690, 113, F16, 59) (dual of [113, 23, 60]-code) | [i] | ✔ | |
| 21 | Linear OA(1692, 116, F16, 59) (dual of [116, 24, 60]-code) | [i] | ✔ | |
| 22 | Linear OA(1693, 118, F16, 59) (dual of [118, 25, 60]-code) | [i] | ✔ | |
| 23 | Linear OA(1694, 120, F16, 59) (dual of [120, 26, 60]-code) | [i] | ✔ | |
| 24 | Linear OA(1695, 122, F16, 59) (dual of [122, 27, 60]-code) | [i] | ✔ | |
| 25 | Linear OA(1696, 124, F16, 59) (dual of [124, 28, 60]-code) | [i] | ✔ | |
| 26 | Linear OA(1697, 126, F16, 59) (dual of [126, 29, 60]-code) | [i] | ✔ | |
| 27 | Linear OA(1698, 128, F16, 59) (dual of [128, 30, 60]-code) | [i] | ✔ | |
| 28 | Linear OA(1672, 82, F16, 59) (dual of [82, 10, 60]-code) | [i] | ✔ | Construction XX with a Chain of Algebraic-Geometric Codes |
| 29 | Linear OA(1676, 89, F16, 59) (dual of [89, 13, 60]-code) | [i] | ✔ | |
| 30 | Linear OOA(1662, 32, F16, 2, 59) (dual of [(32, 2), 2, 60]-NRT-code) | [i] | OOA Folding | |