Information on Result #1474154
Linear OOA(3285, 278, F32, 2, 49) (dual of [(278, 2), 471, 50]-NRT-code), using construction X applied to AG(2;F,494P) ⊂ AG(2;F,501P) based on
- linear OOA(3279, 272, F32, 2, 49) (dual of [(272, 2), 465, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,494P) [i] based on function field F/F32 with g(F) = 30 and N(F) ≥ 273, using
- linear OOA(3272, 272, F32, 2, 42) (dual of [(272, 2), 472, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,501P) [i] based on function field F/F32 with g(F) = 30 and N(F) ≥ 273 (see above)
- linear OOA(326, 6, F32, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(326, 32, F32, 2, 6) (dual of [(32, 2), 58, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;58,32) [i]
- discarding factors / shortening the dual code based on linear OOA(326, 32, F32, 2, 6) (dual of [(32, 2), 58, 7]-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 | Digital (36, 85, 278)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |