Information on Result #1474067
Linear OOA(3277, 275, F32, 2, 44) (dual of [(275, 2), 473, 45]-NRT-code), using construction X applied to AG(2;F,499P) ⊂ AG(2;F,503P) based on
- linear OOA(3274, 272, F32, 2, 44) (dual of [(272, 2), 470, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,499P) [i] based on function field F/F32 with g(F) = 30 and N(F) ≥ 273, using
- linear OOA(3270, 272, F32, 2, 40) (dual of [(272, 2), 474, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,503P) [i] based on function field F/F32 with g(F) = 30 and N(F) ≥ 273 (see above)
- linear OOA(323, 3, F32, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(323, 32, F32, 2, 3) (dual of [(32, 2), 61, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;61,32) [i]
- discarding factors / shortening the dual code based on linear OOA(323, 32, F32, 2, 3) (dual of [(32, 2), 61, 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 | Digital (33, 77, 275)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |