Information on Result #683980
Linear OA(599, 162, F5, 43) (dual of [162, 63, 44]-code), using construction XX applied to C1 = C([0,40]), C2 = C([1,41]), C3 = C1 + C2 = C([1,40]), and C∩ = C1 ∩ C2 = C([0,41]) based on
- linear OA(594, 156, F5, 42) (dual of [156, 62, 43]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,40], and minimum distance d ≥ |{−1,0,…,40}|+1 = 43 (BCH-bound) [i]
- linear OA(597, 156, F5, 41) (dual of [156, 59, 42]-code), using the narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(598, 156, F5, 43) (dual of [156, 58, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,41], and minimum distance d ≥ |{−1,0,…,41}|+1 = 44 (BCH-bound) [i]
- linear OA(593, 156, F5, 40) (dual of [156, 63, 41]-code), using the narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(51, 2, F5, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
- linear OA(50, 4, F5, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 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.
Other Results with Identical Parameters
None.
Depending Results
None.