Information on Result #1574780
Linear OOA(567, 57, F5, 3, 40) (dual of [(57, 3), 104, 41]-NRT-code), using construction X applied to AG(3;F,121P) ⊂ AG(3;F,126P) based on
- linear OOA(563, 54, F5, 3, 40) (dual of [(54, 3), 99, 41]-NRT-code), using algebraic-geometric NRT-code AG(3;F,121P) [i] based on function field F/F5 with g(F) = 23 and N(F) ≥ 55, using
- linear OOA(558, 54, F5, 3, 35) (dual of [(54, 3), 104, 36]-NRT-code), using algebraic-geometric NRT-code AG(3;F,126P) [i] based on function field F/F5 with g(F) = 23 and N(F) ≥ 55 (see above)
- linear OOA(54, 3, F5, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(54, 5, F5, 3, 4) (dual of [(5, 3), 11, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;11,5) [i]
- discarding factors / shortening the dual code based on linear OOA(54, 5, F5, 3, 4) (dual of [(5, 3), 11, 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 | Linear OOA(567, 57, F5, 3, 39) (dual of [(57, 3), 104, 40]-NRT-code) | [i] | Strength Reduction for OOAs | |