Information on Result #656195
Linear OA(12818, 194, F128, 14) (dual of [194, 176, 15]-code), using construction X applied to AG(F,176P) ⊂ AG(F,178P) based on
- linear OA(12817, 191, F128, 14) (dual of [191, 174, 15]-code), using algebraic-geometric code AG(F,176P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12815, 191, F128, 12) (dual of [191, 176, 13]-code), using algebraic-geometric code AG(F,178P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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:
Result | This result only | Method | ||
---|---|---|---|---|
1 | OA(6421, 194, S64, 14) | [i] | Discarding Parts of the Base for OAs | |
2 | Linear OA(12851, 388, F128, 29) (dual of [388, 337, 30]-code) | [i] | (u, u+v)-Construction | |
3 | Linear OA(12852, 410, F128, 29) (dual of [410, 358, 30]-code) | [i] | ||
4 | Linear OA(12856, 482, F128, 29) (dual of [482, 426, 30]-code) | [i] | ||
5 | Linear OA(12875, 16579, F128, 29) (dual of [16579, 16504, 30]-code) | [i] | ||
6 | Linear OA(12873, 16578, F128, 28) (dual of [16578, 16505, 29]-code) | [i] | ||
7 | Linear OA(12875, 16580, F128, 29) (dual of [16580, 16505, 30]-code) | [i] | ||
8 | Linear OA(12873, 16580, F128, 28) (dual of [16580, 16507, 29]-code) | [i] |