Information on Result #629567
Linear OA(2182, 224, F2, 61) (dual of [224, 42, 62]-code), using concatenation of two codes based on
- linear OA(842, 56, F8, 30) (dual of [56, 14, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(842, 58, F8, 30) (dual of [58, 16, 31]-code), using
- 7 times truncation [i] based on linear OA(849, 65, F8, 37) (dual of [65, 16, 38]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- 7 times truncation [i] based on linear OA(849, 65, F8, 37) (dual of [65, 16, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(842, 58, F8, 30) (dual of [58, 16, 31]-code), using
- linear OA(21, 4, F2, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 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.