Information on Result #701136
Linear OA(427, 90, F4, 10) (dual of [90, 63, 11]-code), using construction X applied to C({2,5,6,7,14,17,21}) ⊂ C({2,5,6,7,14,17}) based on
- linear OA(426, 85, F4, 10) (dual of [85, 59, 11]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {2,5,6,7,14,17,21}, and minimum distance d ≥ |{−4,−1,2,…,23}|+1 = 11 (BCH-bound) [i]
- linear OA(422, 85, F4, 8) (dual of [85, 63, 9]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {2,5,6,7,14,17}, and minimum distance d ≥ |{2,5,8,…,23}|+1 = 9 (BCH-bound) [i]
- linear OA(41, 5, F4, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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.