Information on Result #656001
Linear OA(12843, 152, F128, 41) (dual of [152, 109, 42]-code), using construction X applied to AG(F,107P) ⊂ AG(F,109P) based on
- linear OA(12842, 149, F128, 41) (dual of [149, 107, 42]-code), using algebraic-geometric code AG(F,107P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(12840, 149, F128, 39) (dual of [149, 109, 40]-code), using algebraic-geometric code AG(F,109P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (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 | Linear OA(12878, 452, F128, 41) (dual of [452, 374, 42]-code) | [i] | (u, u−v, u+v+w)-Construction | |