Information on Result #701225
Linear OA(530, 65, F5, 13) (dual of [65, 35, 14]-code), using construction X applied to C({2,3,6,7,8,9,11,12,16,17}) ⊂ C({2,3,7,8,9,11,12,16,17}) based on
- linear OA(530, 62, F5, 13) (dual of [62, 32, 14]-code), using the cyclic code C(A) with length 62 | 53−1, defining set A = {2,3,6,7,8,9,11,12,16,17}, and minimum distance d ≥ |{6,7,…,18}|+1 = 14 (BCH-bound) [i]
- linear OA(527, 62, F5, 12) (dual of [62, 35, 13]-code), using the cyclic code C(A) with length 62 | 53−1, defining set A = {2,3,7,8,9,11,12,16,17}, and minimum distance d ≥ |{7,8,…,18}|+1 = 13 (BCH-bound) [i]
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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.