Information on Result #714057
Linear OA(796, 359, F7, 36) (dual of [359, 263, 37]-code), using construction XX applied to C1 = C([31,64]), C2 = C([29,60]), C3 = C1 + C2 = C([31,60]), and C∩ = C1 ∩ C2 = C([29,64]) based on
- 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 = {31,32,…,64}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(782, 342, F7, 32) (dual of [342, 260, 33]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,60}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- 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 = {29,30,…,64}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(779, 342, F7, 30) (dual of [342, 263, 31]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {31,32,…,60}, and designed minimum distance d ≥ |I|+1 = 31 [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.