Information on Result #1294857
Linear OA(6480, 348, F64, 57) (dual of [348, 268, 58]-code), using construction X applied to AG(F,283P) ⊂ AG(F,287P) based on
- linear OA(6477, 341, F64, 57) (dual of [341, 264, 58]-code), using algebraic-geometric code AG(F,283P) [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342, using
- linear OA(6473, 341, F64, 53) (dual of [341, 268, 54]-code), using algebraic-geometric code AG(F,287P) [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342 (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: 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(3296, 348, S32, 57) | [i] | Discarding Parts of the Base for OAs | |