Information on Result #656869
Linear OA(12863, 306, F128, 45) (dual of [306, 243, 46]-code), using construction X applied to AG(F,241P) ⊂ AG(F,251P) based on
- linear OA(12854, 287, F128, 45) (dual of [287, 233, 46]-code), using algebraic-geometric code AG(F,241P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12844, 287, F128, 35) (dual of [287, 243, 36]-code), using algebraic-geometric code AG(F,251P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(1289, 19, F128, 9) (dual of [19, 10, 10]-code or 19-arc in PG(8,128)), using
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), using
- Reed–Solomon code RS(119,128) [i]
- discarding factors / shortening the dual code based on linear OA(1289, 128, F128, 9) (dual of [128, 119, 10]-code or 128-arc in PG(8,128)), 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(12863, 153, F128, 2, 45) (dual of [(153, 2), 243, 46]-NRT-code) | [i] | OOA Folding | |