Information on Result #1294532
Linear OA(6458, 261, F64, 44) (dual of [261, 203, 45]-code), using construction X applied to AG(F,211P) ⊂ AG(F,214P) based on
- linear OA(6456, 256, F64, 44) (dual of [256, 200, 45]-code), using algebraic-geometric code AG(F,211P) [i] based on function field F/F64 with g(F) = 12 and N(F) ≥ 257, using
- linear OA(6453, 256, F64, 41) (dual of [256, 203, 42]-code), using algebraic-geometric code AG(F,214P) [i] based on function field F/F64 with g(F) = 12 and N(F) ≥ 257 (see above)
- linear OA(642, 5, F64, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,64)), using
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), using
- Reed–Solomon code RS(62,64) [i]
- discarding factors / shortening the dual code based on linear OA(642, 64, F64, 2) (dual of [64, 62, 3]-code or 64-arc in PG(1,64)), 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(3270, 261, S32, 44) | [i] | Discarding Parts of the Base for OAs | |