Information on Result #653928
Linear OA(6476, 195, F64, 60) (dual of [195, 119, 61]-code), using construction X applied to AG(F,115P) ⊂ AG(F,125P) based on
- linear OA(6467, 176, F64, 60) (dual of [176, 109, 61]-code), using algebraic-geometric code AG(F,115P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6457, 176, F64, 50) (dual of [176, 119, 51]-code), using algebraic-geometric code AG(F,125P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(649, 19, F64, 9) (dual of [19, 10, 10]-code or 19-arc in PG(8,64)), using
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), using
- Reed–Solomon code RS(55,64) [i]
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), 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(8152, 390, F8, 60) (dual of [390, 238, 61]-code) | [i] | Trace Code | |
| 2 | Linear OOA(6476, 97, F64, 2, 60) (dual of [(97, 2), 118, 61]-NRT-code) | [i] | OOA Folding | |