Information on Result #712822
Linear OA(792, 199, F7, 37) (dual of [199, 107, 38]-code), using construction XX applied to C1 = C([164,28]), C2 = C([0,29]), C3 = C1 + C2 = C([0,28]), and C∩ = C1 ∩ C2 = C([164,29]) based on
- linear OA(779, 171, F7, 36) (dual of [171, 92, 37]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−7,−6,…,28}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(767, 171, F7, 30) (dual of [171, 104, 31]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(782, 171, F7, 37) (dual of [171, 89, 38]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−7,−6,…,29}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(764, 171, F7, 29) (dual of [171, 107, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(710, 25, F7, 6) (dual of [25, 15, 7]-code), using
- an extension Ce(5) of the narrow-sense BCH-code C(I) with length 24 | 72−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 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.