Information on Result #940080
Linear OOA(5134, 406, F5, 2, 38) (dual of [(406, 2), 678, 39]-NRT-code), using trace code based on linear OOA(2567, 203, F25, 2, 38) (dual of [(203, 2), 339, 39]-NRT-code), using
- construction X applied to AG(2;F,359P) ⊂ AG(2;F,364P) [i] based on
- linear OOA(2563, 199, F25, 2, 38) (dual of [(199, 2), 335, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,359P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OOA(2558, 199, F25, 2, 33) (dual of [(199, 2), 340, 34]-NRT-code), using algebraic-geometric NRT-code AG(2;F,364P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OOA(254, 4, F25, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(254, 25, F25, 2, 4) (dual of [(25, 2), 46, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;46,25) [i]
- discarding factors / shortening the dual code based on linear OOA(254, 25, F25, 2, 4) (dual of [(25, 2), 46, 5]-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(5135, 406, F5, 2, 38) (dual of [(406, 2), 677, 39]-NRT-code) | [i] | OOA Duplication | |