Information on Result #713240
Linear OA(728, 355, F7, 10) (dual of [355, 327, 11]-code), using construction XX applied to C1 = C([0,7]), C2 = C([3,9]), C3 = C1 + C2 = C([3,7]), and C∩ = C1 ∩ C2 = C([0,9]) based on
- linear OA(719, 342, F7, 8) (dual of [342, 323, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(721, 342, F7, 7) (dual of [342, 321, 8]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {3,4,…,9}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(725, 342, F7, 10) (dual of [342, 317, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(715, 342, F7, 5) (dual of [342, 327, 6]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {3,4,5,6,7}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(72, 6, F7, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,7)), using
- discarding factors / shortening the dual code based on linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
- Reed–Solomon code RS(5,7) [i]
- discarding factors / shortening the dual code based on linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
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.