Information on Result #1030447
Linear OOA(3225, 99, F3, 3, 115) (dual of [(99, 3), 72, 116]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(963, 33, F9, 3, 57) (dual of [(33, 3), 36, 58]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(963, 34, F9, 3, 57) (dual of [(34, 3), 39, 58]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,44P) [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 34, using
- discarding factors / shortening the dual code based on linear OOA(963, 34, F9, 3, 57) (dual of [(34, 3), 39, 58]-NRT-code), using
- 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(3225, 99, F3, 3, 114) (dual of [(99, 3), 72, 115]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3225, 99, F3, 3, 113) (dual of [(99, 3), 72, 114]-NRT-code) | [i] | ||
| 3 | Linear OOA(3226, 99, F3, 3, 115) (dual of [(99, 3), 71, 116]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3224, 98, F3, 3, 114) (dual of [(98, 3), 70, 115]-NRT-code) | [i] | Truncation for OOAs | |