Information on Result #622509

Linear OA(1653, 65, F16, 47) (dual of [65, 12, 48]-code), using extended algebraic-geometric code AGe(F,17P) 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(16118, 130, F16, 95) (dual of [130, 12, 96]-code) [i]Repeating Each Code Word
2Linear OA(4106, 130, F4, 47) (dual of [130, 24, 48]-code) [i]Trace Code
3Linear OA(1682, 130, F16, 47) (dual of [130, 48, 48]-code) [i](u, u+v)-Construction
4Linear OA(1676, 88, F16, 58) (dual of [88, 12, 59]-code) [i]Juxtaposition
5Linear OA(1677, 89, F16, 59) (dual of [89, 12, 60]-code) [i]
6Linear OA(1679, 91, F16, 60) (dual of [91, 12, 61]-code) [i]
7Linear OA(1680, 92, F16, 61) (dual of [92, 12, 62]-code) [i]
8Linear OA(1681, 93, F16, 62) (dual of [93, 12, 63]-code) [i]
9Linear OA(1682, 94, F16, 63) (dual of [94, 12, 64]-code) [i]
10Linear OA(1683, 95, F16, 64) (dual of [95, 12, 65]-code) [i]
11Linear OA(1684, 96, F16, 65) (dual of [96, 12, 66]-code) [i]
12Linear OA(1685, 97, F16, 66) (dual of [97, 12, 67]-code) [i]
13Linear OA(1686, 98, F16, 67) (dual of [98, 12, 68]-code) [i]
14Linear OA(1688, 100, F16, 68) (dual of [100, 12, 69]-code) [i]
15Linear OA(1689, 101, F16, 69) (dual of [101, 12, 70]-code) [i]
16Linear OA(1690, 102, F16, 70) (dual of [102, 12, 71]-code) [i]
17Linear OA(1691, 103, F16, 71) (dual of [103, 12, 72]-code) [i]
18Linear OA(1693, 105, F16, 72) (dual of [105, 12, 73]-code) [i]
19Linear OA(1694, 106, F16, 73) (dual of [106, 12, 74]-code) [i]
20Linear OA(1695, 107, F16, 74) (dual of [107, 12, 75]-code) [i]
21Linear OA(1696, 108, F16, 75) (dual of [108, 12, 76]-code) [i]
22Linear OA(1697, 109, F16, 76) (dual of [109, 12, 77]-code) [i]
23Linear OA(1698, 110, F16, 77) (dual of [110, 12, 78]-code) [i]
24Linear OA(16100, 112, F16, 78) (dual of [112, 12, 79]-code) [i]
25Linear OA(16101, 113, F16, 79) (dual of [113, 12, 80]-code) [i]
26Linear OA(16102, 114, F16, 80) (dual of [114, 12, 81]-code) [i]
27Linear OA(16120, 132, F16, 96) (dual of [132, 12, 97]-code) [i]
28Linear OA(16124, 136, F16, 98) (dual of [136, 12, 99]-code) [i]
29Linear OA(16129, 141, F16, 101) (dual of [141, 12, 102]-code) [i]
30Linear OA(4171, 195, F4, 95) (dual of [195, 24, 96]-code) [i]Concatenation of Two Codes
31Linear OA(4236, 260, F4, 143) (dual of [260, 24, 144]-code) [i]