Information on Result #938709
Linear OOA(3192, 160, F3, 2, 72) (dual of [(160, 2), 128, 73]-NRT-code), using trace code based on linear OOA(996, 80, F9, 2, 72) (dual of [(80, 2), 64, 73]-NRT-code), using
- construction X applied to AG(2;F,73P) ⊂ AG(2;F,81P) [i] based on
- linear OOA(989, 73, F9, 2, 72) (dual of [(73, 2), 57, 73]-NRT-code), using algebraic-geometric NRT-code AG(2;F,73P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(981, 73, F9, 2, 64) (dual of [(73, 2), 65, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,81P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(97, 7, F9, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(97, 9, F9, 2, 7) (dual of [(9, 2), 11, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;11,9) [i]
- discarding factors / shortening the dual code based on linear OOA(97, 9, F9, 2, 7) (dual of [(9, 2), 11, 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(3193, 160, F3, 2, 72) (dual of [(160, 2), 127, 73]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3192, 80, F3, 4, 72) (dual of [(80, 4), 128, 73]-NRT-code) | [i] | OOA Folding | |