Information on Result #654296
Linear OA(6475, 211, F64, 51) (dual of [211, 136, 52]-code), using construction X applied to AG(F,124P) ⊂ AG(F,142P) based on
- linear OA(6458, 176, F64, 51) (dual of [176, 118, 52]-code), using algebraic-geometric code AG(F,124P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6440, 176, F64, 33) (dual of [176, 136, 34]-code), using algebraic-geometric code AG(F,142P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(6417, 35, F64, 17) (dual of [35, 18, 18]-code or 35-arc in PG(16,64)), using
- discarding factors / shortening the dual code based on linear OA(6417, 64, F64, 17) (dual of [64, 47, 18]-code or 64-arc in PG(16,64)), using
- Reed–Solomon code RS(47,64) [i]
- discarding factors / shortening the dual code based on linear OA(6417, 64, F64, 17) (dual of [64, 47, 18]-code or 64-arc in PG(16,64)), 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 | OA(3290, 211, S32, 51) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6475, 105, F64, 2, 51) (dual of [(105, 2), 135, 52]-NRT-code) | [i] | OOA Folding | |