Information on Result #710028
Linear OA(579, 145, F5, 34) (dual of [145, 66, 35]-code), using construction XX applied to C1 = C([0,30]), C2 = C([8,33]), C3 = C1 + C2 = C([8,30]), and C∩ = C1 ∩ C2 = C([0,33]) based on
- linear OA(561, 124, F5, 31) (dual of [124, 63, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(564, 124, F5, 26) (dual of [124, 60, 27]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {8,9,…,33}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(568, 124, F5, 34) (dual of [124, 56, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(557, 124, F5, 23) (dual of [124, 67, 24]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {8,9,…,30}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(58, 11, F5, 7) (dual of [11, 3, 8]-code), using
- linear OA(53, 10, F5, 2) (dual of [10, 7, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(53, 24, F5, 2) (dual of [24, 21, 3]-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.