Information on Result #714089
Linear OA(7110, 367, F7, 40) (dual of [367, 257, 41]-code), using construction XX applied to C1 = C([19,57]), C2 = C([25,58]), C3 = C1 + C2 = C([25,57]), and C∩ = C1 ∩ C2 = C([19,58]) based on
- linear OA(7100, 342, F7, 39) (dual of [342, 242, 40]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {19,20,…,57}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(788, 342, F7, 34) (dual of [342, 254, 35]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {25,26,…,58}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(7103, 342, F7, 40) (dual of [342, 239, 41]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {19,20,…,58}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(785, 342, F7, 33) (dual of [342, 257, 34]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {25,26,…,57}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(77, 22, F7, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-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.