Information on Result #940505
Linear OOA(8142, 366, F8, 2, 57) (dual of [(366, 2), 590, 58]-NRT-code), using trace code based on linear OOA(6471, 183, F64, 2, 57) (dual of [(183, 2), 295, 58]-NRT-code), using
- construction X applied to AG(2;F,294P) ⊂ AG(2;F,302P) [i] based on
- linear OOA(6464, 176, F64, 2, 57) (dual of [(176, 2), 288, 58]-NRT-code), using algebraic-geometric NRT-code AG(2;F,294P) [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(647, 7, F64, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(647, 64, F64, 2, 7) (dual of [(64, 2), 121, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;121,64) [i]
- discarding factors / shortening the dual code based on linear OOA(647, 64, F64, 2, 7) (dual of [(64, 2), 121, 8]-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, 366, F8, 2, 57) (dual of [(366, 2), 589, 58]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8142, 183, F8, 3, 57) (dual of [(183, 3), 407, 58]-NRT-code) | [i] | OOA Folding | |