Information on Result #940193
Linear OOA(5148, 302, F5, 2, 51) (dual of [(302, 2), 456, 52]-NRT-code), using trace code based on linear OOA(2574, 151, F25, 2, 51) (dual of [(151, 2), 228, 52]-NRT-code), using
- construction X applied to AG(2;F,242P) ⊂ AG(2;F,247P) [i] based on
- linear OOA(2570, 147, F25, 2, 51) (dual of [(147, 2), 224, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,242P) [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(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(5149, 302, F5, 2, 51) (dual of [(302, 2), 455, 52]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5148, 151, F5, 3, 51) (dual of [(151, 3), 305, 52]-NRT-code) | [i] | OOA Folding | |