Information on Result #713700
Linear OA(793, 383, F7, 31) (dual of [383, 290, 32]-code), using construction XX applied to C1 = C([29,57]), C2 = C([38,59]), C3 = C1 + C2 = C([38,57]), and C∩ = C1 ∩ C2 = C([29,59]) based on
- linear OA(773, 342, F7, 29) (dual of [342, 269, 30]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,57}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(758, 342, F7, 22) (dual of [342, 284, 23]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {38,39,…,59}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(779, 342, F7, 31) (dual of [342, 263, 32]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,59}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(752, 342, F7, 20) (dual of [342, 290, 21]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {38,39,…,57}, and designed minimum distance d ≥ |I|+1 = 21 [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(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
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.