Information on Result #938330
Linear OOA(378, 86, F3, 2, 27) (dual of [(86, 2), 94, 28]-NRT-code), using trace code based on linear OOA(939, 43, F9, 2, 27) (dual of [(43, 2), 47, 28]-NRT-code), using
- construction X applied to AG(2;F,50P) ⊂ AG(2;F,55P) [i] based on
- linear OOA(935, 39, F9, 2, 27) (dual of [(39, 2), 43, 28]-NRT-code), using algebraic-geometric NRT-code AG(2;F,50P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- linear OOA(930, 39, F9, 2, 22) (dual of [(39, 2), 48, 23]-NRT-code), using algebraic-geometric NRT-code AG(2;F,55P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40 (see above)
- linear OOA(94, 4, F9, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(94, 9, F9, 2, 4) (dual of [(9, 2), 14, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;14,9) [i]
- discarding factors / shortening the dual code based on linear OOA(94, 9, F9, 2, 4) (dual of [(9, 2), 14, 5]-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(379, 86, F3, 2, 27) (dual of [(86, 2), 93, 28]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(378, 43, F3, 4, 27) (dual of [(43, 4), 94, 28]-NRT-code) | [i] | OOA Folding | |