Information on Result #682099
Linear OA(429, 36, F4, 18) (dual of [36, 7, 19]-code), using construction X applied to C([0,13]) ⊂ C([0,8]) based on
- linear OA(420, 21, F4, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,4)), using the expurgated narrow-sense BCH-code C(I) with length 21 | 43−1, defining interval I = [0,13], and minimum distance d ≥ |{−5,−3,−1,…,−9}|+1 = 21 (BCH-bound) [i]
- linear OA(414, 21, F4, 10) (dual of [21, 7, 11]-code), using the expurgated narrow-sense BCH-code C(I) with length 21 | 43−1, defining interval I = [0,8], and minimum distance d ≥ |{−1,0,…,8}|+1 = 11 (BCH-bound) [i]
- linear OA(49, 15, F4, 7) (dual of [15, 6, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 17, F4, 7) (dual of [17, 8, 8]-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.