Information on Result #670997
Linear OA(12864, 386, F128, 38) (dual of [386, 322, 39]-code), using (u, u+v)-construction based on
- linear OA(12822, 192, F128, 19) (dual of [192, 170, 20]-code), using
- extended algebraic-geometric code AGe(F,172P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12842, 194, F128, 38) (dual of [194, 152, 39]-code), using
- construction X applied to AG(F,152P) ⊂ AG(F,154P) [i] based on
- linear OA(12841, 191, F128, 38) (dual of [191, 150, 39]-code), using algebraic-geometric code AG(F,152P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192 (see above)
- linear OA(12839, 191, F128, 36) (dual of [191, 152, 37]-code), using algebraic-geometric code AG(F,154P) [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
- construction X applied to AG(F,152P) ⊂ AG(F,154P) [i] based on
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 OOA(12864, 193, F128, 2, 38) (dual of [(193, 2), 322, 39]-NRT-code) | [i] | OOA Folding | |