Information on Result #940157
Linear OOA(5144, 404, F5, 2, 44) (dual of [(404, 2), 664, 45]-NRT-code), using trace code based on linear OOA(2572, 202, F25, 2, 44) (dual of [(202, 2), 332, 45]-NRT-code), using
- construction X applied to AG(2;F,353P) ⊂ AG(2;F,357P) [i] based on
- linear OOA(2569, 199, F25, 2, 44) (dual of [(199, 2), 329, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,353P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OOA(2565, 199, F25, 2, 40) (dual of [(199, 2), 333, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,357P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (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(5145, 404, F5, 2, 44) (dual of [(404, 2), 663, 45]-NRT-code) | [i] | OOA Duplication | |