Information on Result #713948
Linear OA(7107, 379, F7, 37) (dual of [379, 272, 38]-code), using construction XX applied to C1 = C([22,57]), C2 = C([31,58]), C3 = C1 + C2 = C([31,57]), and C∩ = C1 ∩ C2 = C([22,58]) based on
- linear OA(791, 342, F7, 36) (dual of [342, 251, 37]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {22,23,…,57}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(773, 342, F7, 28) (dual of [342, 269, 29]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {31,32,…,58}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(794, 342, F7, 37) (dual of [342, 248, 38]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {22,23,…,58}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(770, 342, F7, 27) (dual of [342, 272, 28]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {31,32,…,57}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(713, 34, F7, 8) (dual of [34, 21, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(713, 48, F7, 8) (dual of [48, 35, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(713, 48, F7, 8) (dual of [48, 35, 9]-code), using
- 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.