Information on Result #690748
Linear OA(966, 87, F9, 45) (dual of [87, 21, 46]-code), using construction X applied to C([0,86]) ⊂ C([0,84]) based on
- linear OA(965, 82, F9, 45) (dual of [82, 17, 46]-code), using contraction [i] based on linear OA(9147, 164, F9, 91) (dual of [164, 17, 92]-code), using the expurgated narrow-sense BCH-code C(I) with length 164 | 94−1, defining interval I = [0,86], and minimum distance d ≥ |{−4,−3,…,86}|+1 = 92 (BCH-bound) [i]
- linear OA(961, 82, F9, 43) (dual of [82, 21, 44]-code), using contraction [i] based on linear OA(9143, 164, F9, 87) (dual of [164, 21, 88]-code), using the expurgated narrow-sense BCH-code C(I) with length 164 | 94−1, defining interval I = [0,84], and minimum distance d ≥ |{−2,−1,…,84}|+1 = 88 (BCH-bound) [i]
- linear OA(91, 5, F9, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 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 OOA(966, 43, F9, 2, 45) (dual of [(43, 2), 20, 46]-NRT-code) | [i] | OOA Folding | |