Information on Result #660150
Linear OA(8100, 366, F8, 40) (dual of [366, 266, 41]-code), using trace code based on linear OA(6450, 183, F64, 40) (dual of [183, 133, 41]-code), using
- construction X applied to AG(F,135P) ⊂ AG(F,139P) [i] based on
- linear OA(6447, 176, F64, 40) (dual of [176, 129, 41]-code), using algebraic-geometric code AG(F,135P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6443, 176, F64, 36) (dual of [176, 133, 37]-code), using algebraic-geometric code AG(F,139P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(643, 7, F64, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,64) or 7-cap in PG(2,64)), using
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- Reed–Solomon code RS(61,64) [i]
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), 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 OA(8101, 367, F8, 40) (dual of [367, 266, 41]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8100, 183, F8, 2, 40) (dual of [(183, 2), 266, 41]-NRT-code) | [i] | OOA Folding | |