Information on Result #1474128
Linear OOA(3282, 277, F32, 2, 47) (dual of [(277, 2), 472, 48]-NRT-code), using construction X applied to AG(2;F,496P) ⊂ AG(2;F,502P) based on
- linear OOA(3277, 272, F32, 2, 47) (dual of [(272, 2), 467, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,496P) [i] based on function field F/F32 with g(F) = 30 and N(F) ≥ 273, using
- linear OOA(3271, 272, F32, 2, 41) (dual of [(272, 2), 473, 42]-NRT-code), using algebraic-geometric NRT-code AG(2;F,502P) [i] based on function field F/F32 with g(F) = 30 and N(F) ≥ 273 (see above)
- linear OOA(325, 5, F32, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(325, 32, F32, 2, 5) (dual of [(32, 2), 59, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;59,32) [i]
- discarding factors / shortening the dual code based on linear OOA(325, 32, F32, 2, 5) (dual of [(32, 2), 59, 6]-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 (35, 82, 277)-net over F32 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |