Information on Result #713549
Linear OA(760, 359, F7, 22) (dual of [359, 299, 23]-code), using construction XX applied to C1 = C([45,64]), C2 = C([43,60]), C3 = C1 + C2 = C([45,60]), and C∩ = C1 ∩ C2 = C([43,64]) based on
- 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 = {45,46,…,64}, and designed minimum distance d ≥ |I|+1 = 21 [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 = {43,44,…,60}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(755, 342, F7, 22) (dual of [342, 287, 23]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {43,44,…,64}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(743, 342, F7, 16) (dual of [342, 299, 17]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {45,46,…,60}, and designed minimum distance d ≥ |I|+1 = 17 [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.