Information on Result #916492
Linear OOA(3243, 228, F3, 2, 79) (dual of [(228, 2), 213, 80]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(2743, 57, F27, 2, 39) (dual of [(57, 2), 71, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2743, 64, F27, 2, 39) (dual of [(64, 2), 85, 40]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,88P) [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OOA(2743, 64, F27, 2, 39) (dual of [(64, 2), 85, 40]-NRT-code), using
- linear OA(31, 4, F3, 1) (dual of [4, 3, 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(3243, 228, F3, 2, 78) (dual of [(228, 2), 213, 79]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3244, 228, F3, 2, 79) (dual of [(228, 2), 212, 80]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3242, 227, F3, 2, 78) (dual of [(227, 2), 212, 79]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3243, 114, F3, 4, 79) (dual of [(114, 4), 213, 80]-NRT-code) | [i] | OOA Folding | |