Information on Result #938674
Linear OOA(3182, 154, F3, 2, 70) (dual of [(154, 2), 126, 71]-NRT-code), using trace code based on linear OOA(991, 77, F9, 2, 70) (dual of [(77, 2), 63, 71]-NRT-code), using
- construction X applied to AG(2;F,75P) ⊂ AG(2;F,80P) [i] based on
- linear OOA(987, 73, F9, 2, 70) (dual of [(73, 2), 59, 71]-NRT-code), using algebraic-geometric NRT-code AG(2;F,75P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- linear OOA(982, 73, F9, 2, 65) (dual of [(73, 2), 64, 66]-NRT-code), using algebraic-geometric NRT-code AG(2;F,80P) [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74 (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(3183, 154, F3, 2, 70) (dual of [(154, 2), 125, 71]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3182, 77, F3, 4, 70) (dual of [(77, 4), 126, 71]-NRT-code) | [i] | OOA Folding | |