Information on Result #659376
Linear OA(4213, 561, F4, 59) (dual of [561, 348, 60]-code), using trace code based on linear OA(6471, 187, F64, 59) (dual of [187, 116, 60]-code), using
- construction X applied to AG(F,116P) ⊂ AG(F,122P) [i] based on
- linear OA(6466, 176, F64, 59) (dual of [176, 110, 60]-code), using algebraic-geometric code AG(F,116P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6460, 176, F64, 53) (dual of [176, 116, 54]-code), using algebraic-geometric code AG(F,122P) [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(4214, 562, F4, 59) (dual of [562, 348, 60]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4215, 563, F4, 59) (dual of [563, 348, 60]-code) | [i] | ||
| 3 | Linear OOA(4213, 280, F4, 2, 59) (dual of [(280, 2), 347, 60]-NRT-code) | [i] | OOA Folding | |