Information on Result #938614
Linear OOA(3172, 152, F3, 2, 66) (dual of [(152, 2), 132, 67]-NRT-code), using trace code based on linear OOA(986, 76, F9, 2, 66) (dual of [(76, 2), 66, 67]-NRT-code), using
- construction X applied to AG(2;F,79P) ⊂ AG(2;F,83P) [i] based on
- linear OOA(983, 73, F9, 2, 66) (dual of [(73, 2), 63, 67]-NRT-code), using algebraic-geometric NRT-code AG(2;F,79P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(979, 73, F9, 2, 62) (dual of [(73, 2), 67, 63]-NRT-code), using algebraic-geometric NRT-code AG(2;F,83P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (see above)
- linear OOA(93, 3, F9, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(93, 9, F9, 2, 3) (dual of [(9, 2), 15, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;15,9) [i]
- discarding factors / shortening the dual code based on linear OOA(93, 9, F9, 2, 3) (dual of [(9, 2), 15, 4]-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(3173, 152, F3, 2, 66) (dual of [(152, 2), 131, 67]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3172, 76, F3, 4, 66) (dual of [(76, 4), 132, 67]-NRT-code) | [i] | OOA Folding | |