Information on Result #1294613
Linear OA(6436, 263, F64, 21) (dual of [263, 227, 22]-code), using construction X applied to AG(F,234P) ⊂ AG(F,238P) based on
- linear OA(6433, 256, F64, 21) (dual of [256, 223, 22]-code), using algebraic-geometric code AG(F,234P) [i] based on function field F/F64 with g(F) = 12 and N(F) ≥ 257, using
- linear OA(6429, 256, F64, 17) (dual of [256, 227, 18]-code), using algebraic-geometric code AG(F,238P) [i] based on function field F/F64 with g(F) = 12 and N(F) ≥ 257 (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 | Linear OOA(6436, 260, F64, 2, 21) (dual of [(260, 2), 484, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(6436, 260, F64, 3, 21) (dual of [(260, 3), 744, 22]-NRT-code) | [i] | ||
| 3 | Digital (15, 36, 260)-net over F64 | [i] | ||