Information on Result #677524
Linear OA(3151, 165, F3, 85) (dual of [165, 14, 86]-code), using construction X applied to C([0,87]) ⊂ C([0,81]) based on
- linear OA(3150, 160, F3, 89) (dual of [160, 10, 90]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [0,87], and minimum distance d ≥ |{−1,0,…,87}|+1 = 90 (BCH-bound) [i]
- linear OA(3146, 160, F3, 83) (dual of [160, 14, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [0,81], and minimum distance d ≥ |{−1,0,…,81}|+1 = 84 (BCH-bound) [i]
- linear OA(31, 5, F3, 1) (dual of [5, 4, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3150, 164, F3, 84) (dual of [164, 14, 85]-code) | [i] | Truncation | |
| 2 | Linear OOA(3151, 82, F3, 2, 85) (dual of [(82, 2), 13, 86]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3151, 55, F3, 3, 85) (dual of [(55, 3), 14, 86]-NRT-code) | [i] | ||
| 4 | Linear OOA(3151, 33, F3, 5, 85) (dual of [(33, 5), 14, 86]-NRT-code) | [i] | ||