Information on Result #622499

Linear OA(1643, 65, F16, 37) (dual of [65, 22, 38]-code), using extended algebraic-geometric code AGe(F,27P) based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using

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:

ResultThis
result
only
Method
1Linear OA(16108, 130, F16, 75) (dual of [130, 22, 76]-code) [i]Repeating Each Code Word
2Linear OA(486, 130, F4, 37) (dual of [130, 44, 38]-code) [i]Trace Code
3Linear OA(1675, 97, F16, 46) (dual of [97, 22, 47]-code) [i]Juxtaposition
4Linear OA(1676, 98, F16, 47) (dual of [98, 22, 48]-code) [i]
5Linear OA(1678, 100, F16, 48) (dual of [100, 22, 49]-code) [i]
6Linear OA(1679, 101, F16, 49) (dual of [101, 22, 50]-code) [i]
7Linear OA(1680, 102, F16, 50) (dual of [102, 22, 51]-code) [i]
8Linear OA(1681, 103, F16, 51) (dual of [103, 22, 52]-code) [i]
9Linear OA(1683, 105, F16, 52) (dual of [105, 22, 53]-code) [i]
10Linear OA(1684, 106, F16, 53) (dual of [106, 22, 54]-code) [i]
11Linear OA(1685, 107, F16, 54) (dual of [107, 22, 55]-code) [i]
12Linear OA(1686, 108, F16, 55) (dual of [108, 22, 56]-code) [i]
13Linear OA(1687, 109, F16, 56) (dual of [109, 22, 57]-code) [i]
14Linear OA(1688, 110, F16, 57) (dual of [110, 22, 58]-code) [i]
15Linear OA(1690, 112, F16, 58) (dual of [112, 22, 59]-code) [i]
16Linear OA(1691, 113, F16, 59) (dual of [113, 22, 60]-code) [i]
17Linear OA(1692, 114, F16, 60) (dual of [114, 22, 61]-code) [i]
18Linear OA(16110, 132, F16, 76) (dual of [132, 22, 77]-code) [i]
19Linear OA(16114, 136, F16, 78) (dual of [136, 22, 79]-code) [i]
20Linear OA(16118, 140, F16, 80) (dual of [140, 22, 81]-code) [i]
21Linear OA(2237, 325, F2, 75) (dual of [325, 88, 76]-code) [i]Concatenation of Two Codes
22Linear OA(4151, 195, F4, 75) (dual of [195, 44, 76]-code) [i]
23Linear OA(4216, 260, F4, 113) (dual of [260, 44, 114]-code) [i]