Information on Result #659352
Linear OA(4201, 561, F4, 55) (dual of [561, 360, 56]-code), using trace code based on linear OA(6467, 187, F64, 55) (dual of [187, 120, 56]-code), using
- construction X applied to AG(F,120P) ⊂ AG(F,126P) [i] based on
- linear OA(6462, 176, F64, 55) (dual of [176, 114, 56]-code), using algebraic-geometric code AG(F,120P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6456, 176, F64, 49) (dual of [176, 120, 50]-code), using algebraic-geometric code AG(F,126P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(645, 11, F64, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,64)), using
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
- Reed–Solomon code RS(59,64) [i]
- discarding factors / shortening the dual code based on linear OA(645, 64, F64, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), 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(4202, 562, F4, 55) (dual of [562, 360, 56]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4203, 563, F4, 55) (dual of [563, 360, 56]-code) | [i] | ||
| 3 | Linear OOA(4201, 280, F4, 2, 55) (dual of [(280, 2), 359, 56]-NRT-code) | [i] | OOA Folding | |