Information on Result #678074
Linear OA(4247, 1048623, F4, 31) (dual of [1048623, 1048376, 32]-code), using construction X applied to C([0,16]) ⊂ C([0,13]) based on
- linear OA(4241, 1048577, F4, 33) (dual of [1048577, 1048336, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(4201, 1048577, F4, 27) (dual of [1048577, 1048376, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(46, 46, F4, 3) (dual of [46, 40, 4]-code or 46-cap in PG(5,4)), using
- discarding factors / shortening the dual code based on linear OA(46, 102, F4, 3) (dual of [102, 96, 4]-code or 102-cap in PG(5,4)), 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.
Other Results with Identical Parameters
None.
Depending Results
None.