Information on Result #710731
Linear OA(5126, 323, F5, 42) (dual of [323, 197, 43]-code), using construction XX applied to C1 = C([53,93]), C2 = C([52,90]), C3 = C1 + C2 = C([53,90]), and C∩ = C1 ∩ C2 = C([52,93]) based on
- linear OA(5121, 312, F5, 41) (dual of [312, 191, 42]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {53,54,…,93}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(5117, 312, F5, 39) (dual of [312, 195, 40]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {52,53,…,90}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(5123, 312, F5, 42) (dual of [312, 189, 43]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {52,53,…,93}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(5115, 312, F5, 38) (dual of [312, 197, 39]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {53,54,…,90}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(53, 9, F5, 2) (dual of [9, 6, 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
- linear OA(50, 2, F5, 0) (dual of [2, 2, 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.