Information on Result #612726
Linear OA(431, 42, F4, 15) (dual of [42, 11, 16]-code), using construction X applied to C([0,5]) ⊂ C([1,5]) based on
- linear OA(431, 41, F4, 15) (dual of [41, 10, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 41 | 410−1, defining interval I = [0,5], and minimum distance d ≥ |{1,5,9,13}| + |{−14,−13,…,0}∖{−3,−7,−11}| = 16 (general Roos-bound) [i]
- linear OA(430, 41, F4, 14) (dual of [41, 11, 15]-code), using the narrow-sense BCH-code C(I) with length 41 | 410−1, defining interval I = [1,5], and minimum distance d ≥ |{−13,−11,−9,…,13}|+1 = 15 (BCH-bound) [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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.