Information on Result #710652
Linear OA(5108, 331, F5, 35) (dual of [331, 223, 36]-code), using construction XX applied to C1 = C([63,96]), C2 = C([62,93]), C3 = C1 + C2 = C([63,93]), and C∩ = C1 ∩ C2 = C([62,96]) based on
- linear OA(5101, 312, F5, 34) (dual of [312, 211, 35]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,96}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(593, 312, F5, 32) (dual of [312, 219, 33]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {62,63,…,93}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(5105, 312, F5, 35) (dual of [312, 207, 36]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {62,63,…,96}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(589, 312, F5, 31) (dual of [312, 223, 32]-code), using the BCH-code C(I) with length 312 | 54−1, defining interval I = {63,64,…,93}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(53, 15, F5, 2) (dual of [15, 12, 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.