Information on Result #657027
Linear OA(12878, 320, F128, 53) (dual of [320, 242, 54]-code), using construction X applied to AG(F,233P) ⊂ AG(F,250P) 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(12845, 287, F128, 36) (dual of [287, 242, 37]-code), using algebraic-geometric code AG(F,250P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(12816, 33, F128, 16) (dual of [33, 17, 17]-code or 33-arc in PG(15,128)), using
- discarding factors / shortening the dual code based on linear OA(12816, 128, F128, 16) (dual of [128, 112, 17]-code or 128-arc in PG(15,128)), using
- Reed–Solomon code RS(112,128) [i]
- discarding factors / shortening the dual code based on linear OA(12816, 128, F128, 16) (dual of [128, 112, 17]-code or 128-arc in PG(15,128)), 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(12878, 160, F128, 2, 53) (dual of [(160, 2), 242, 54]-NRT-code) | [i] | OOA Folding | |