Information on Result #940637
Linear OOA(8160, 378, F8, 2, 60) (dual of [(378, 2), 596, 61]-NRT-code), using trace code based on linear OOA(6480, 189, F64, 2, 60) (dual of [(189, 2), 298, 61]-NRT-code), using
- construction X applied to AG(2;F,291P) ⊂ AG(2;F,305P) [i] based on
- linear OOA(6467, 176, F64, 2, 60) (dual of [(176, 2), 285, 61]-NRT-code), using algebraic-geometric NRT-code AG(2;F,291P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6453, 176, F64, 2, 46) (dual of [(176, 2), 299, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,305P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6413, 13, F64, 2, 13) (dual of [(13, 2), 13, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6413, 64, F64, 2, 13) (dual of [(64, 2), 115, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(2;115,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6413, 64, F64, 2, 13) (dual of [(64, 2), 115, 14]-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(8161, 378, F8, 2, 60) (dual of [(378, 2), 595, 61]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8160, 189, F8, 3, 60) (dual of [(189, 3), 407, 61]-NRT-code) | [i] | OOA Folding | |