Information on Result #701199
Linear OA(529, 36, F5, 20) (dual of [36, 7, 21]-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(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 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.