Information on Result #940123
Linear OOA(5140, 410, F5, 2, 39) (dual of [(410, 2), 680, 40]-NRT-code), using trace code based on linear OOA(2570, 205, F25, 2, 39) (dual of [(205, 2), 340, 40]-NRT-code), using
- construction X applied to AG(2;F,358P) ⊂ AG(2;F,365P) [i] based on
- linear OOA(2564, 199, F25, 2, 39) (dual of [(199, 2), 334, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,358P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OOA(2557, 199, F25, 2, 32) (dual of [(199, 2), 341, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,365P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OOA(256, 6, F25, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(256, 25, F25, 2, 6) (dual of [(25, 2), 44, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;44,25) [i]
- discarding factors / shortening the dual code based on linear OOA(256, 25, F25, 2, 6) (dual of [(25, 2), 44, 7]-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(5141, 410, F5, 2, 39) (dual of [(410, 2), 679, 40]-NRT-code) | [i] | OOA Duplication | |