Information on Result #631003
Linear OA(3178, 222, F3, 73) (dual of [222, 44, 74]-code), using concatenation of two codes based on
- linear OA(952, 74, F9, 36) (dual of [74, 22, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(952, 77, F9, 36) (dual of [77, 25, 37]-code), using
- 5 times truncation [i] based on linear OA(957, 82, F9, 41) (dual of [82, 25, 42]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- 5 times truncation [i] based on linear OA(957, 82, F9, 41) (dual of [82, 25, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(952, 77, F9, 36) (dual of [77, 25, 37]-code), using
- linear OA(31, 3, F3, 1) (dual of [3, 2, 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
None.