Information on Result #622496

Linear OA(1640, 65, F16, 34) (dual of [65, 25, 35]-code), using extended algebraic-geometric code AGe(F,30P) 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(16105, 130, F16, 69) (dual of [130, 25, 70]-code) [i]Repeating Each Code Word
2Linear OA(480, 130, F4, 34) (dual of [130, 50, 35]-code) [i]Trace Code
3Linear OA(1677, 102, F16, 44) (dual of [102, 25, 45]-code) [i]Juxtaposition
4Linear OA(1678, 103, F16, 45) (dual of [103, 25, 46]-code) [i]
5Linear OA(1680, 105, F16, 46) (dual of [105, 25, 47]-code) [i]
6Linear OA(1681, 106, F16, 47) (dual of [106, 25, 48]-code) [i]
7Linear OA(1682, 107, F16, 48) (dual of [107, 25, 49]-code) [i]
8Linear OA(1683, 108, F16, 49) (dual of [108, 25, 50]-code) [i]
9Linear OA(1684, 109, F16, 50) (dual of [109, 25, 51]-code) [i]
10Linear OA(1685, 110, F16, 51) (dual of [110, 25, 52]-code) [i]
11Linear OA(1687, 112, F16, 52) (dual of [112, 25, 53]-code) [i]
12Linear OA(1688, 113, F16, 53) (dual of [113, 25, 54]-code) [i]
13Linear OA(1689, 114, F16, 54) (dual of [114, 25, 55]-code) [i]
14Linear OA(16107, 132, F16, 70) (dual of [132, 25, 71]-code) [i]
15Linear OA(16111, 136, F16, 72) (dual of [136, 25, 73]-code) [i]
16Linear OA(2225, 325, F2, 69) (dual of [325, 100, 70]-code) [i]Concatenation of Two Codes
17Linear OA(4145, 195, F4, 69) (dual of [195, 50, 70]-code) [i]