Information on Result #710122
Linear OA(594, 151, F5, 43) (dual of [151, 57, 44]-code), using construction XX applied to C1 = C([21,61]), C2 = C([29,63]), C3 = C1 + C2 = C([29,61]), and C∩ = C1 ∩ C2 = C([21,63]) based on
- linear OA(579, 124, F5, 41) (dual of [124, 45, 42]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,61}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(571, 124, F5, 35) (dual of [124, 53, 36]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {29,30,…,63}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(583, 124, F5, 43) (dual of [124, 41, 44]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {21,22,…,63}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(567, 124, F5, 33) (dual of [124, 57, 34]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {29,30,…,61}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(510, 22, F5, 7) (dual of [22, 12, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(510, 24, F5, 7) (dual of [24, 14, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(510, 24, F5, 7) (dual of [24, 14, 8]-code), using
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
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.