Information on Result #713815
Linear OA(778, 359, F7, 29) (dual of [359, 281, 30]-code), using construction XX applied to C1 = C([38,64]), C2 = C([36,60]), C3 = C1 + C2 = C([38,60]), and C∩ = C1 ∩ C2 = C([36,64]) based on
- 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 = {38,39,…,64}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(764, 342, F7, 25) (dual of [342, 278, 26]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {36,37,…,60}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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 = {36,37,…,64}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(761, 342, F7, 23) (dual of [342, 281, 24]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {38,39,…,60}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(74, 13, F7, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,7)), using
- linear OA(71, 4, F7, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-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.