Information on Result #656890
Linear OA(12874, 308, F128, 55) (dual of [308, 234, 56]-code), using construction X applied to AG(F,231P) ⊂ AG(F,242P) based on
- linear OA(12864, 287, F128, 55) (dual of [287, 223, 56]-code), using algebraic-geometric code AG(F,231P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12853, 287, F128, 44) (dual of [287, 234, 45]-code), using algebraic-geometric code AG(F,242P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(12810, 21, F128, 10) (dual of [21, 11, 11]-code or 21-arc in PG(9,128)), using
- discarding factors / shortening the dual code based on linear OA(12810, 128, F128, 10) (dual of [128, 118, 11]-code or 128-arc in PG(9,128)), using
- Reed–Solomon code RS(118,128) [i]
- discarding factors / shortening the dual code based on linear OA(12810, 128, F128, 10) (dual of [128, 118, 11]-code or 128-arc in PG(9,128)), 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(12874, 154, F128, 2, 55) (dual of [(154, 2), 234, 56]-NRT-code) | [i] | OOA Folding | |