Information on Result #940007
Linear OOA(5120, 262, F5, 2, 44) (dual of [(262, 2), 404, 45]-NRT-code), using trace code based on linear OOA(2560, 131, F25, 2, 44) (dual of [(131, 2), 202, 45]-NRT-code), using
- construction X applied to AG(2;F,205P) ⊂ AG(2;F,212P) [i] based on
- 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, using
- the Hermitian function field over F25 [i]
- linear OOA(2547, 125, F25, 2, 37) (dual of [(125, 2), 203, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,212P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OOA(256, 6, F25, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(256, 25, F25, 2, 6) (dual of [(25, 2), 44, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;44,25) [i]
- discarding factors / shortening the dual code based on linear OOA(256, 25, F25, 2, 6) (dual of [(25, 2), 44, 7]-NRT-code), using
- 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, 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(5121, 262, F5, 2, 44) (dual of [(262, 2), 403, 45]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5120, 131, F5, 3, 44) (dual of [(131, 3), 273, 45]-NRT-code) | [i] | OOA Folding | |