Information on Result #701220
Linear OA(518, 65, F5, 8) (dual of [65, 47, 9]-code), using construction X applied to C({1,2,4,8,11,17}) ⊂ C({1,4,8,11,17}) based on
- linear OA(518, 62, F5, 8) (dual of [62, 44, 9]-code), using the cyclic code C(A) with length 62 | 53−1, defining set A = {1,2,4,8,11,17}, and minimum distance d ≥ |{2,5,8,…,23}|+1 = 9 (BCH-bound) [i]
- linear OA(515, 62, F5, 7) (dual of [62, 47, 8]-code), using the cyclic code C(A) with length 62 | 53−1, defining set A = {1,4,8,11,17}, and minimum distance d ≥ |{5,8,11,…,23}|+1 = 8 (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.