Information on Result #657011
Linear OA(12877, 318, F128, 53) (dual of [318, 241, 54]-code), using construction X applied to AG(F,233P) ⊂ AG(F,249P) based on
- linear OA(12862, 287, F128, 53) (dual of [287, 225, 54]-code), using algebraic-geometric code AG(F,233P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12846, 287, F128, 37) (dual of [287, 241, 38]-code), using algebraic-geometric code AG(F,249P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(12815, 31, F128, 15) (dual of [31, 16, 16]-code or 31-arc in PG(14,128)), using
- discarding factors / shortening the dual code based on linear OA(12815, 128, F128, 15) (dual of [128, 113, 16]-code or 128-arc in PG(14,128)), using
- Reed–Solomon code RS(113,128) [i]
- discarding factors / shortening the dual code based on linear OA(12815, 128, F128, 15) (dual of [128, 113, 16]-code or 128-arc in PG(14,128)), 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 OOA(12877, 159, F128, 2, 53) (dual of [(159, 2), 241, 54]-NRT-code) | [i] | OOA Folding | |