Information on Result #713212
Linear OA(727, 360, F7, 9) (dual of [360, 333, 10]-code), using construction XX applied to C1 = C([50,56]), C2 = C([54,58]), C3 = C1 + C2 = C([54,56]), and C∩ = C1 ∩ C2 = C([50,58]) based on
- linear OA(718, 342, F7, 7) (dual of [342, 324, 8]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {50,51,…,56}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(713, 342, F7, 5) (dual of [342, 329, 6]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {54,55,56,57,58}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(722, 342, F7, 9) (dual of [342, 320, 10]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {50,51,…,58}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(79, 342, F7, 3) (dual of [342, 333, 4]-code or 342-cap in PG(8,7)), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {54,55,56}, and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(74, 13, F7, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,7)), using
- linear OA(71, 5, F7, 1) (dual of [5, 4, 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.