Information on Result #940160
Linear OOA(5144, 300, F5, 2, 50) (dual of [(300, 2), 456, 51]-NRT-code), using trace code based on linear OOA(2572, 150, F25, 2, 50) (dual of [(150, 2), 228, 51]-NRT-code), using
- construction X applied to AG(2;F,243P) ⊂ AG(2;F,247P) [i] based on
- linear OOA(2569, 147, F25, 2, 50) (dual of [(147, 2), 225, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,243P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- linear OOA(2565, 147, F25, 2, 46) (dual of [(147, 2), 229, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,247P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148 (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, 300, F5, 2, 50) (dual of [(300, 2), 455, 51]-NRT-code) | [i] | OOA Duplication | |