Information on Result #940037
Linear OOA(5126, 264, F5, 2, 46) (dual of [(264, 2), 402, 47]-NRT-code), using trace code based on linear OOA(2563, 132, F25, 2, 46) (dual of [(132, 2), 201, 47]-NRT-code), using
- construction X applied to AG(2;F,203P) ⊂ AG(2;F,211P) [i] based on
- linear OOA(2556, 125, F25, 2, 46) (dual of [(125, 2), 194, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,203P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- linear OOA(2548, 125, F25, 2, 38) (dual of [(125, 2), 202, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,211P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (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
- linear OOA(2556, 125, F25, 2, 46) (dual of [(125, 2), 194, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,203P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, 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(5127, 264, F5, 2, 46) (dual of [(264, 2), 401, 47]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5126, 132, F5, 3, 46) (dual of [(132, 3), 270, 47]-NRT-code) | [i] | OOA Folding | |