Information on Result #657000
Linear OA(12868, 316, F128, 45) (dual of [316, 248, 46]-code), using construction X applied to AG(F,241P) ⊂ AG(F,256P) 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(12839, 287, F128, 30) (dual of [287, 248, 31]-code), using algebraic-geometric code AG(F,256P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(12814, 29, F128, 14) (dual of [29, 15, 15]-code or 29-arc in PG(13,128)), using
- discarding factors / shortening the dual code based on linear OA(12814, 128, F128, 14) (dual of [128, 114, 15]-code or 128-arc in PG(13,128)), using
- Reed–Solomon code RS(114,128) [i]
- discarding factors / shortening the dual code based on linear OA(12814, 128, F128, 14) (dual of [128, 114, 15]-code or 128-arc in PG(13,128)), 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(12868, 158, F128, 2, 45) (dual of [(158, 2), 248, 46]-NRT-code) | [i] | OOA Folding | |