Information on Result #622453

Linear OA(1628, 49, F16, 23) (dual of [49, 21, 24]-code), using extended algebraic-geometric code AGe(F,25P) 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(1677, 98, F16, 47) (dual of [98, 21, 48]-code) [i]Repeating Each Code Word
2Linear OA(1676, 96, F16, 47) (dual of [96, 20, 48]-code) [i]
3Linear OA(456, 98, F4, 23) (dual of [98, 42, 24]-code) [i]Trace Code
4Linear OA(1693, 114, F16, 62) (dual of [114, 21, 63]-code) [i]Juxtaposition
5Linear OA(1693, 113, F16, 63) (dual of [113, 20, 64]-code) [i]
6Linear OA(1693, 112, F16, 64) (dual of [112, 19, 65]-code) [i]
7Linear OA(4105, 147, F4, 47) (dual of [147, 42, 48]-code) [i]Concatenation of Two Codes
8Linear OA(4104, 144, F4, 47) (dual of [144, 40, 48]-code) [i]
9Linear OA(4103, 141, F4, 47) (dual of [141, 38, 48]-code) [i]
10Linear OOA(2210, 147, F2, 2, 71) (dual of [(147, 2), 84, 72]-NRT-code) [i]Concatenation of Two NRT-Codes
11Linear OOA(2208, 144, F2, 2, 71) (dual of [(144, 2), 80, 72]-NRT-code) [i]
12Linear OOA(2206, 141, F2, 2, 71) (dual of [(141, 2), 76, 72]-NRT-code) [i]
13Linear OOA(2206, 94, F2, 3, 71) (dual of [(94, 3), 76, 72]-NRT-code) [i]
14Linear OA(1691, 113, F16, 60) (dual of [113, 22, 61]-code) [i]Construction X with Algebraic-Geometric Codes
15Linear OA(1690, 113, F16, 59) (dual of [113, 23, 60]-code) [i]
16Linear OA(1689, 113, F16, 58) (dual of [113, 24, 59]-code) [i]
17Linear OOA(1628, 24, F16, 2, 23) (dual of [(24, 2), 20, 24]-NRT-code) [i]OOA Folding