Information on Result #940636
Linear OOA(8160, 380, F8, 2, 59) (dual of [(380, 2), 600, 60]-NRT-code), using trace code based on linear OOA(6480, 190, F64, 2, 59) (dual of [(190, 2), 300, 60]-NRT-code), using
- construction X applied to AG(2;F,292P) ⊂ AG(2;F,307P) [i] based on
- linear OOA(6466, 176, F64, 2, 59) (dual of [(176, 2), 286, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,292P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6451, 176, F64, 2, 44) (dual of [(176, 2), 301, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,307P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(6414, 14, F64, 2, 14) (dual of [(14, 2), 14, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6414, 64, F64, 2, 14) (dual of [(64, 2), 114, 15]-NRT-code), using
- Reed–Solomon NRT-code RS(2;114,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6414, 64, F64, 2, 14) (dual of [(64, 2), 114, 15]-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(8161, 380, F8, 2, 59) (dual of [(380, 2), 599, 60]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8160, 190, F8, 3, 59) (dual of [(190, 3), 410, 60]-NRT-code) | [i] | OOA Folding | |