Information on Result #942129
Linear OOA(3196, 129, F3, 2, 87) (dual of [(129, 2), 62, 88]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(955, 43, F9, 2, 43) (dual of [(43, 2), 31, 44]-NRT-code), using
- construction X applied to AG(2;F,34P) ⊂ AG(2;F,39P) [i] based on
- linear OOA(951, 39, F9, 2, 43) (dual of [(39, 2), 27, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,34P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- linear OOA(946, 39, F9, 2, 38) (dual of [(39, 2), 32, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,39P) [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
- construction X applied to AG(2;F,34P) ⊂ AG(2;F,39P) [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(3196, 129, F3, 2, 86) (dual of [(129, 2), 62, 87]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3197, 129, F3, 2, 87) (dual of [(129, 2), 61, 88]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3195, 128, F3, 2, 86) (dual of [(128, 2), 61, 87]-NRT-code) | [i] | Truncation for OOAs | |