Information on Result #931370
Linear OOA(2558, 68, F25, 2, 51) (dual of [(68, 2), 78, 52]-NRT-code), using construction X applied to AG(2;F,78P) ⊂ AG(2;F,82P) based on
- linear OOA(2555, 65, F25, 2, 51) (dual of [(65, 2), 75, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,78P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2551, 65, F25, 2, 47) (dual of [(65, 2), 79, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,82P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
- linear OOA(253, 3, F25, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(253, 25, F25, 2, 3) (dual of [(25, 2), 47, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;47,25) [i]
- discarding factors / shortening the dual code based on linear OOA(253, 25, F25, 2, 3) (dual of [(25, 2), 47, 4]-NRT-code), using
Mode: Constructive and 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(5116, 136, F5, 2, 51) (dual of [(136, 2), 156, 52]-NRT-code) | [i] | Trace Code for OOAs | |