Information on Result #916449
Linear OOA(3212, 172, F3, 2, 81) (dual of [(172, 2), 132, 82]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(2742, 43, F27, 2, 40) (dual of [(43, 2), 44, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2742, 48, F27, 2, 40) (dual of [(48, 2), 54, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,55P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OOA(2742, 48, F27, 2, 40) (dual of [(48, 2), 54, 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(3212, 172, F3, 2, 80) (dual of [(172, 2), 132, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3213, 172, F3, 2, 81) (dual of [(172, 2), 131, 82]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3211, 171, F3, 2, 80) (dual of [(171, 2), 131, 81]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3212, 86, F3, 4, 81) (dual of [(86, 4), 132, 82]-NRT-code) | [i] | OOA Folding | |