Information on Result #916411
Linear OOA(3191, 136, F3, 2, 81) (dual of [(136, 2), 81, 82]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(2741, 34, F27, 2, 40) (dual of [(34, 2), 27, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2741, 38, F27, 2, 40) (dual of [(38, 2), 35, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,35P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OOA(2741, 38, F27, 2, 40) (dual of [(38, 2), 35, 41]-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(3191, 136, F3, 2, 80) (dual of [(136, 2), 81, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3192, 136, F3, 2, 81) (dual of [(136, 2), 80, 82]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3190, 135, F3, 2, 80) (dual of [(135, 2), 80, 81]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3191, 68, F3, 4, 81) (dual of [(68, 4), 81, 82]-NRT-code) | [i] | OOA Folding | |