Information on Result #622497

Linear OA(1641, 65, F16, 35) (dual of [65, 24, 36]-code), using extended algebraic-geometric code AGe(F,29P) 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(16106, 130, F16, 71) (dual of [130, 24, 72]-code) [i]Repeating Each Code Word
2Linear OA(482, 130, F4, 35) (dual of [130, 48, 36]-code) [i]Trace Code
3Linear OA(1673, 97, F16, 42) (dual of [97, 24, 43]-code) [i]Juxtaposition
4Linear OA(1674, 98, F16, 43) (dual of [98, 24, 44]-code) [i]
5Linear OA(1676, 100, F16, 44) (dual of [100, 24, 45]-code) [i]
6Linear OA(1677, 101, F16, 45) (dual of [101, 24, 46]-code) [i]
7Linear OA(1678, 102, F16, 46) (dual of [102, 24, 47]-code) [i]
8Linear OA(1679, 103, F16, 47) (dual of [103, 24, 48]-code) [i]
9Linear OA(1681, 105, F16, 48) (dual of [105, 24, 49]-code) [i]
10Linear OA(1682, 106, F16, 49) (dual of [106, 24, 50]-code) [i]
11Linear OA(1683, 107, F16, 50) (dual of [107, 24, 51]-code) [i]
12Linear OA(1684, 108, F16, 51) (dual of [108, 24, 52]-code) [i]
13Linear OA(1685, 109, F16, 52) (dual of [109, 24, 53]-code) [i]
14Linear OA(1686, 110, F16, 53) (dual of [110, 24, 54]-code) [i]
15Linear OA(1688, 112, F16, 54) (dual of [112, 24, 55]-code) [i]
16Linear OA(1689, 113, F16, 55) (dual of [113, 24, 56]-code) [i]
17Linear OA(1690, 114, F16, 56) (dual of [114, 24, 57]-code) [i]
18Linear OA(16108, 132, F16, 72) (dual of [132, 24, 73]-code) [i]
19Linear OA(16112, 136, F16, 74) (dual of [136, 24, 75]-code) [i]
20Linear OA(2229, 325, F2, 71) (dual of [325, 96, 72]-code) [i]Concatenation of Two Codes
21Linear OA(4147, 195, F4, 71) (dual of [195, 48, 72]-code) [i]
22Linear OA(4212, 260, F4, 107) (dual of [260, 48, 108]-code) [i]