Information on Result #940138
Linear OOA(5142, 412, F5, 2, 39) (dual of [(412, 2), 682, 40]-NRT-code), using trace code based on linear OOA(2571, 206, F25, 2, 39) (dual of [(206, 2), 341, 40]-NRT-code), using
- construction X applied to AG(2;F,358P) ⊂ AG(2;F,366P) [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(2556, 199, F25, 2, 31) (dual of [(199, 2), 342, 32]-NRT-code), using algebraic-geometric NRT-code AG(2;F,366P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OOA(257, 7, F25, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(257, 25, F25, 2, 7) (dual of [(25, 2), 43, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;43,25) [i]
- discarding factors / shortening the dual code based on linear OOA(257, 25, F25, 2, 7) (dual of [(25, 2), 43, 8]-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(5143, 412, F5, 2, 39) (dual of [(412, 2), 681, 40]-NRT-code) | [i] | OOA Duplication | |