Information on Result #680349
Linear OA(4173, 1087, F4, 40) (dual of [1087, 914, 41]-code), using construction X applied to C([0,20]) ⊂ C([0,14]) based on
- linear OA(4151, 1025, F4, 41) (dual of [1025, 874, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(4111, 1025, F4, 29) (dual of [1025, 914, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(422, 62, F4, 10) (dual of [62, 40, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(422, 63, F4, 10) (dual of [63, 41, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(422, 63, F4, 10) (dual of [63, 41, 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.
Other Results with Identical Parameters
None.
Depending Results
None.