Information on Result #940145
Linear OOA(5142, 266, F5, 2, 53) (dual of [(266, 2), 390, 54]-NRT-code), using trace code based on linear OOA(2571, 133, F25, 2, 53) (dual of [(133, 2), 195, 54]-NRT-code), using
- construction X applied to AG(2;F,196P) ⊂ AG(2;F,205P) [i] based on
- linear OOA(2563, 125, F25, 2, 53) (dual of [(125, 2), 187, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,196P) [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(2554, 125, F25, 2, 44) (dual of [(125, 2), 196, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,205P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OOA(258, 8, F25, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(258, 25, F25, 2, 8) (dual of [(25, 2), 42, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;42,25) [i]
- discarding factors / shortening the dual code based on linear OOA(258, 25, F25, 2, 8) (dual of [(25, 2), 42, 9]-NRT-code), using
- linear OOA(2563, 125, F25, 2, 53) (dual of [(125, 2), 187, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,196P) [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(5143, 266, F5, 2, 53) (dual of [(266, 2), 389, 54]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5142, 133, F5, 3, 53) (dual of [(133, 3), 257, 54]-NRT-code) | [i] | OOA Folding | |