Information on Result #700966
Linear OA(457, 89, F4, 25) (dual of [89, 32, 26]-code), using construction X applied to C({0,1,2,3,5,6,7,9,10,11,13,14,15,31,47}) ⊂ C([0,13]) based on
- linear OA(443, 63, F4, 25) (dual of [63, 20, 26]-code), using the primitive cyclic code C(A) with length 63 = 43−1, defining set A = {0,1,2,3,5,6,7,9,10,11,13,14,15,31,47}, and minimum distance d ≥ |{−4,−3,…,20}|+1 = 26 (BCH-bound) [i]
- linear OA(431, 63, F4, 14) (dual of [63, 32, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(414, 26, F4, 10) (dual of [26, 12, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 29, F4, 10) (dual of [29, 15, 11]-code), using
- 1 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [i]
- 1 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 29, F4, 10) (dual of [29, 15, 11]-code), 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.