Information on Result #622503

Linear OA(1647, 65, F16, 41) (dual of [65, 18, 42]-code), using extended algebraic-geometric code AGe(F,23P) 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(16112, 130, F16, 83) (dual of [130, 18, 84]-code) [i]Repeating Each Code Word
2Linear OA(494, 130, F4, 41) (dual of [130, 36, 42]-code) [i]Trace Code
3Linear OA(1671, 110, F16, 41) (dual of [110, 39, 42]-code) [i](u, u+v)-Construction
4Linear OA(1672, 114, F16, 41) (dual of [114, 42, 42]-code) [i]
5Linear OA(1673, 91, F16, 48) (dual of [91, 18, 49]-code) [i]Juxtaposition
6Linear OA(1674, 92, F16, 49) (dual of [92, 18, 50]-code) [i]
7Linear OA(1675, 93, F16, 50) (dual of [93, 18, 51]-code) [i]
8Linear OA(1676, 94, F16, 51) (dual of [94, 18, 52]-code) [i]
9Linear OA(1677, 95, F16, 52) (dual of [95, 18, 53]-code) [i]
10Linear OA(1678, 96, F16, 53) (dual of [96, 18, 54]-code) [i]
11Linear OA(1679, 97, F16, 54) (dual of [97, 18, 55]-code) [i]
12Linear OA(1680, 98, F16, 55) (dual of [98, 18, 56]-code) [i]
13Linear OA(1682, 100, F16, 56) (dual of [100, 18, 57]-code) [i]
14Linear OA(1683, 101, F16, 57) (dual of [101, 18, 58]-code) [i]
15Linear OA(1684, 102, F16, 58) (dual of [102, 18, 59]-code) [i]
16Linear OA(1685, 103, F16, 59) (dual of [103, 18, 60]-code) [i]
17Linear OA(1687, 105, F16, 60) (dual of [105, 18, 61]-code) [i]
18Linear OA(1688, 106, F16, 61) (dual of [106, 18, 62]-code) [i]
19Linear OA(1689, 107, F16, 62) (dual of [107, 18, 63]-code) [i]
20Linear OA(1690, 108, F16, 63) (dual of [108, 18, 64]-code) [i]
21Linear OA(1691, 109, F16, 64) (dual of [109, 18, 65]-code) [i]
22Linear OA(1692, 110, F16, 65) (dual of [110, 18, 66]-code) [i]
23Linear OA(1694, 112, F16, 66) (dual of [112, 18, 67]-code) [i]
24Linear OA(1695, 113, F16, 67) (dual of [113, 18, 68]-code) [i]
25Linear OA(1696, 114, F16, 68) (dual of [114, 18, 69]-code) [i]
26Linear OA(16114, 132, F16, 84) (dual of [132, 18, 85]-code) [i]
27Linear OA(16118, 136, F16, 86) (dual of [136, 18, 87]-code) [i]
28Linear OA(16122, 140, F16, 88) (dual of [140, 18, 89]-code) [i]
29Linear OA(16126, 144, F16, 90) (dual of [144, 18, 91]-code) [i]
30Linear OA(2253, 325, F2, 83) (dual of [325, 72, 84]-code) [i]Concatenation of Two Codes
31Linear OA(4159, 195, F4, 83) (dual of [195, 36, 84]-code) [i]
32Linear OA(4224, 260, F4, 125) (dual of [260, 36, 126]-code) [i]