Information on Result #841334
Linear OOA(771, 187, F7, 2, 24) (dual of [(187, 2), 303, 25]-NRT-code), using OOA 2-folding based on linear OA(771, 374, F7, 24) (dual of [374, 303, 25]-code), using
- construction XX applied to C1 = C([36,56]), C2 = C([42,59]), C3 = C1 + C2 = C([42,56]), and C∩ = C1 ∩ C2 = C([36,59]) [i] based on
- linear OA(754, 342, F7, 21) (dual of [342, 288, 22]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {36,37,…,56}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(746, 342, F7, 18) (dual of [342, 296, 19]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {42,43,…,59}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(761, 342, F7, 24) (dual of [342, 281, 25]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {36,37,…,59}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(739, 342, F7, 15) (dual of [342, 303, 16]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {42,43,…,56}, and designed minimum distance d ≥ |I|+1 = 16 [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(73, 10, F7, 2) (dual of [10, 7, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), 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.