Information on Result #940696
Linear OOA(8166, 378, F8, 2, 63) (dual of [(378, 2), 590, 64]-NRT-code), using trace code based on linear OOA(6483, 189, F64, 2, 63) (dual of [(189, 2), 295, 64]-NRT-code), using
- construction X applied to AG(2;F,288P) ⊂ AG(2;F,302P) [i] based on
- linear OOA(6470, 176, F64, 2, 63) (dual of [(176, 2), 282, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,288P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6456, 176, F64, 2, 49) (dual of [(176, 2), 296, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,302P) [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(8167, 378, F8, 2, 63) (dual of [(378, 2), 589, 64]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8166, 189, F8, 3, 63) (dual of [(189, 3), 401, 64]-NRT-code) | [i] | OOA Folding | |