Information on Result #622505

Linear OA(1649, 65, F16, 43) (dual of [65, 16, 44]-code), using extended algebraic-geometric code AGe(F,21P) 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(16114, 130, F16, 87) (dual of [130, 16, 88]-code) [i]Repeating Each Code Word
2Linear OA(498, 130, F4, 43) (dual of [130, 32, 44]-code) [i]Trace Code
3Linear OA(1675, 114, F16, 43) (dual of [114, 39, 44]-code) [i](u, u+v)-Construction
4Linear OA(1676, 130, F16, 43) (dual of [130, 54, 44]-code) [i]
5Linear OA(1676, 92, F16, 53) (dual of [92, 16, 54]-code) [i]Juxtaposition
6Linear OA(1677, 93, F16, 54) (dual of [93, 16, 55]-code) [i]
7Linear OA(1678, 94, F16, 55) (dual of [94, 16, 56]-code) [i]
8Linear OA(1679, 95, F16, 56) (dual of [95, 16, 57]-code) [i]
9Linear OA(1680, 96, F16, 57) (dual of [96, 16, 58]-code) [i]
10Linear OA(1681, 97, F16, 58) (dual of [97, 16, 59]-code) [i]
11Linear OA(1682, 98, F16, 59) (dual of [98, 16, 60]-code) [i]
12Linear OA(1684, 100, F16, 60) (dual of [100, 16, 61]-code) [i]
13Linear OA(1685, 101, F16, 61) (dual of [101, 16, 62]-code) [i]
14Linear OA(1686, 102, F16, 62) (dual of [102, 16, 63]-code) [i]
15Linear OA(1687, 103, F16, 63) (dual of [103, 16, 64]-code) [i]
16Linear OA(1689, 105, F16, 64) (dual of [105, 16, 65]-code) [i]
17Linear OA(1690, 106, F16, 65) (dual of [106, 16, 66]-code) [i]
18Linear OA(1691, 107, F16, 66) (dual of [107, 16, 67]-code) [i]
19Linear OA(1692, 108, F16, 67) (dual of [108, 16, 68]-code) [i]
20Linear OA(1693, 109, F16, 68) (dual of [109, 16, 69]-code) [i]
21Linear OA(1694, 110, F16, 69) (dual of [110, 16, 70]-code) [i]
22Linear OA(1696, 112, F16, 70) (dual of [112, 16, 71]-code) [i]
23Linear OA(1697, 113, F16, 71) (dual of [113, 16, 72]-code) [i]
24Linear OA(1698, 114, F16, 72) (dual of [114, 16, 73]-code) [i]
25Linear OA(16116, 132, F16, 88) (dual of [132, 16, 89]-code) [i]
26Linear OA(16120, 136, F16, 90) (dual of [136, 16, 91]-code) [i]
27Linear OA(16124, 140, F16, 92) (dual of [140, 16, 93]-code) [i]
28Linear OA(16128, 144, F16, 94) (dual of [144, 16, 95]-code) [i]
29Linear OA(4163, 195, F4, 87) (dual of [195, 32, 88]-code) [i]Concatenation of Two Codes
30Linear OA(4228, 260, F4, 131) (dual of [260, 32, 132]-code) [i]