Information on Result #710665
Linear OA(5112, 325, F5, 37) (dual of [325, 213, 38]-code), using construction XX applied to C1 = C([58,93]), C2 = C([57,90]), C3 = C1 + C2 = C([58,90]), and C∩ = C1 ∩ C2 = C([57,93]) based on
- linear OA(5105, 312, F5, 36) (dual of [312, 207, 37]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {58,59,…,93}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(5103, 312, F5, 34) (dual of [312, 209, 35]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {57,58,…,90}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(5109, 312, F5, 37) (dual of [312, 203, 38]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {57,58,…,93}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(599, 312, F5, 33) (dual of [312, 213, 34]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {58,59,…,90}, and designed minimum distance d ≥ |I|+1 = 34 [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, 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.