Information on Result #701200
Linear OA(534, 41, F5, 24) (dual of [41, 7, 25]-code), using construction X applied to C([0,16]) ⊂ C({1,2,3,4,6,11,12,16}) based on
- linear OA(528, 31, F5, 24) (dual of [31, 3, 25]-code), using the expurgated narrow-sense BCH-code C(I) with length 31 | 53−1, defining interval I = [0,16], and minimum distance d ≥ |{−7,−6,…,16}|+1 = 25 (BCH-bound) [i]
- linear OA(524, 31, F5, 18) (dual of [31, 7, 19]-code), using the cyclic code C(A) with length 31 | 53−1, defining set A = {1,2,3,4,6,11,12,16}, and minimum distance d ≥ |{−6,2,10,…,6}|+1 = 19 (BCH-bound) [i]
- linear OA(56, 10, F5, 5) (dual of [10, 4, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [i]
- discarding factors / shortening the dual code based on linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), 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.