Information on Result #942128
Linear OOA(3194, 126, F3, 2, 89) (dual of [(126, 2), 58, 90]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(955, 42, F9, 2, 44) (dual of [(42, 2), 29, 45]-NRT-code), using
- construction X applied to AG(2;F,33P) ⊂ AG(2;F,37P) [i] based on
- linear OOA(952, 39, F9, 2, 44) (dual of [(39, 2), 26, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,33P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- linear OOA(948, 39, F9, 2, 40) (dual of [(39, 2), 30, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,37P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40 (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
- construction X applied to AG(2;F,33P) ⊂ AG(2;F,37P) [i] based on
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(3194, 126, F3, 2, 88) (dual of [(126, 2), 58, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3193, 125, F3, 2, 88) (dual of [(125, 2), 57, 89]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3194, 63, F3, 4, 89) (dual of [(63, 4), 58, 90]-NRT-code) | [i] | OOA Folding | |