Information on Result #622449

Linear OA(1624, 49, F16, 19) (dual of [49, 25, 20]-code), using extended algebraic-geometric code AGe(F,29P) based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, 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(448, 98, F4, 19) (dual of [98, 50, 20]-code) [i]Trace Code
2Linear OA(16102, 563, F16, 39) (dual of [563, 461, 40]-code) [i](u, u+v)-Construction
3Linear OA(16100, 563, F16, 38) (dual of [563, 463, 39]-code) [i]
4Linear OA(16130, 4145, F16, 38) (dual of [4145, 4015, 39]-code) [i]
5Linear OA(1689, 114, F16, 54) (dual of [114, 25, 55]-code) [i]Juxtaposition
6Linear OA(1689, 113, F16, 55) (dual of [113, 24, 56]-code) [i]
7Linear OA(1689, 112, F16, 56) (dual of [112, 23, 57]-code) [i]
8Linear OA(497, 147, F4, 39) (dual of [147, 50, 40]-code) [i]Concatenation of Two Codes
9Linear OA(496, 144, F4, 39) (dual of [144, 48, 40]-code) [i]
10Linear OA(495, 141, F4, 39) (dual of [141, 46, 40]-code) [i]
11Linear OOA(2194, 147, F2, 2, 59) (dual of [(147, 2), 100, 60]-NRT-code) [i]Concatenation of Two NRT-Codes
12Linear OOA(2192, 144, F2, 2, 59) (dual of [(144, 2), 96, 60]-NRT-code) [i]
13Linear OOA(2190, 141, F2, 2, 59) (dual of [(141, 2), 92, 60]-NRT-code) [i]
14Linear OOA(1624, 24, F16, 2, 19) (dual of [(24, 2), 24, 20]-NRT-code) [i]OOA Folding