Information on Result #1048735
Linear OOA(8142, 368, F8, 3, 52) (dual of [(368, 3), 962, 53]-NRT-code), using trace code based on linear OOA(6471, 184, F64, 3, 52) (dual of [(184, 3), 481, 53]-NRT-code), using
- construction X applied to AG(3;F,475P) ⊂ AG(3;F,488P) [i] based on
- linear OOA(6459, 176, F64, 3, 52) (dual of [(176, 3), 469, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,475P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6446, 176, F64, 3, 39) (dual of [(176, 3), 482, 40]-NRT-code), using algebraic-geometric NRT-code AG(3;F,488P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6412, 8, F64, 3, 12) (dual of [(8, 3), 12, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6412, 64, F64, 3, 12) (dual of [(64, 3), 180, 13]-NRT-code), using
- Reed–Solomon NRT-code RS(3;180,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6412, 64, F64, 3, 12) (dual of [(64, 3), 180, 13]-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(8143, 368, F8, 3, 52) (dual of [(368, 3), 961, 53]-NRT-code) | [i] | OOA Duplication | |