Information on Result #940425
Linear OOA(8128, 372, F8, 2, 47) (dual of [(372, 2), 616, 48]-NRT-code), using trace code based on linear OOA(6464, 186, F64, 2, 47) (dual of [(186, 2), 308, 48]-NRT-code), using
- construction X applied to AG(2;F,304P) ⊂ AG(2;F,315P) [i] based on
- linear OOA(6454, 176, F64, 2, 47) (dual of [(176, 2), 298, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,304P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6443, 176, F64, 2, 36) (dual of [(176, 2), 309, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,315P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6410, 10, F64, 2, 10) (dual of [(10, 2), 10, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6410, 64, F64, 2, 10) (dual of [(64, 2), 118, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(2;118,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6410, 64, F64, 2, 10) (dual of [(64, 2), 118, 11]-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(8129, 372, F8, 2, 47) (dual of [(372, 2), 615, 48]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8128, 186, F8, 3, 47) (dual of [(186, 3), 430, 48]-NRT-code) | [i] | OOA Folding | |