Information on Result #1474651
Linear OOA(6455, 344, F64, 2, 32) (dual of [(344, 2), 633, 33]-NRT-code), using construction X applied to AG(2;F,649P) ⊂ AG(2;F,653P) based on
- linear OOA(6452, 341, F64, 2, 32) (dual of [(341, 2), 630, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,649P) [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342, using
- linear OOA(6448, 341, F64, 2, 28) (dual of [(341, 2), 634, 29]-NRT-code), using algebraic-geometric NRT-code AG(2;F,653P) [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342 (see above)
- linear OOA(643, 3, F64, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(643, 64, F64, 2, 3) (dual of [(64, 2), 125, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;125,64) [i]
- discarding factors / shortening the dual code based on linear OOA(643, 64, F64, 2, 3) (dual of [(64, 2), 125, 4]-NRT-code), 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(6455, 344, F64, 3, 32) (dual of [(344, 3), 977, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (23, 55, 344)-net over F64 | [i] | ||