Information on Result #1571109
Linear OOA(460, 57, F4, 3, 30) (dual of [(57, 3), 111, 31]-NRT-code), using construction X applied to AG(3;F,131P) ⊂ AG(3;F,136P) based on
- linear OOA(456, 54, F4, 3, 30) (dual of [(54, 3), 106, 31]-NRT-code), using algebraic-geometric NRT-code AG(3;F,131P) [i] based on function field F/F4 with g(F) = 26 and N(F) ≥ 55, using
- linear OOA(451, 54, F4, 3, 25) (dual of [(54, 3), 111, 26]-NRT-code), using algebraic-geometric NRT-code AG(3;F,136P) [i] based on function field F/F4 with g(F) = 26 and N(F) ≥ 55 (see above)
- linear OOA(44, 3, F4, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;8,4) [i]
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-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 (30, 60, 56)-net over F4 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |