Information on Result #1048600
Linear OOA(868, 358, F8, 3, 23) (dual of [(358, 3), 1006, 24]-NRT-code), using trace code based on linear OOA(6434, 179, F64, 3, 23) (dual of [(179, 3), 503, 24]-NRT-code), using
- construction X applied to AG(3;F,504P) ⊂ AG(3;F,509P) [i] based on
- linear OOA(6430, 176, F64, 3, 23) (dual of [(176, 3), 498, 24]-NRT-code), using algebraic-geometric NRT-code AG(3;F,504P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6425, 176, F64, 3, 18) (dual of [(176, 3), 503, 19]-NRT-code), using algebraic-geometric NRT-code AG(3;F,509P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(644, 3, F64, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 3, 4) (dual of [(64, 3), 188, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;188,64) [i]
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 3, 4) (dual of [(64, 3), 188, 5]-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(868, 358, F8, 3, 22) (dual of [(358, 3), 1006, 23]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(869, 358, F8, 3, 23) (dual of [(358, 3), 1005, 24]-NRT-code) | [i] | OOA Duplication | |