Information on Result #977537
Linear OOA(784, 63, F7, 3, 35) (dual of [(63, 3), 105, 36]-NRT-code), using OOA 3-folding based on linear OA(784, 189, F7, 35) (dual of [189, 105, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(784, 191, F7, 35) (dual of [191, 107, 36]-code), using
- construction XX applied to C1 = C([167,28]), C2 = C([0,30]), C3 = C1 + C2 = C([0,28]), and C∩ = C1 ∩ C2 = C([167,30]) [i] based on
- linear OA(773, 171, F7, 33) (dual of [171, 98, 34]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−4,−3,…,28}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(770, 171, F7, 31) (dual of [171, 101, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(779, 171, F7, 35) (dual of [171, 92, 36]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−4,−3,…,30}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(764, 171, F7, 29) (dual of [171, 107, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(74, 13, F7, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,7)), using
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- construction XX applied to C1 = C([167,28]), C2 = C([0,30]), C3 = C1 + C2 = C([0,28]), and C∩ = C1 ∩ C2 = C([167,30]) [i] based on
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.