Information on Result #690769
Linear OA(959, 82, F9, 42) (dual of [82, 23, 43]-code), using construction X applied to C([0,83]) ⊂ C([0,81]) based on
- linear OA(959, 80, F9, 42) (dual of [80, 21, 43]-code), using contraction [i] based on linear OA(9139, 160, F9, 85) (dual of [160, 21, 86]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,83], and minimum distance d ≥ |{−1,0,…,83}|+1 = 86 (BCH-bound) [i]
- linear OA(957, 80, F9, 41) (dual of [80, 23, 42]-code), using contraction [i] based on linear OA(9137, 160, F9, 83) (dual of [160, 23, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,81], and minimum distance d ≥ |{−1,0,…,81}|+1 = 84 (BCH-bound) [i]
- linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-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 OOA(959, 41, F9, 2, 42) (dual of [(41, 2), 23, 43]-NRT-code) | [i] | OOA Folding | |