Information on Result #1048840
Linear OOA(8166, 368, F8, 3, 64) (dual of [(368, 3), 938, 65]-NRT-code), using trace code based on linear OOA(6483, 184, F64, 3, 64) (dual of [(184, 3), 469, 65]-NRT-code), using
- construction X applied to AG(3;F,463P) ⊂ AG(3;F,476P) [i] based on
- linear OOA(6471, 176, F64, 3, 64) (dual of [(176, 3), 457, 65]-NRT-code), using algebraic-geometric NRT-code AG(3;F,463P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6458, 176, F64, 3, 51) (dual of [(176, 3), 470, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,476P) [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(8167, 368, F8, 3, 64) (dual of [(368, 3), 937, 65]-NRT-code) | [i] | OOA Duplication | |