Information on Result #842275
Linear OOA(7102, 104, F7, 2, 40) (dual of [(104, 2), 106, 41]-NRT-code), using OOA 2-folding based on linear OA(7102, 208, F7, 40) (dual of [208, 106, 41]-code), using
- construction XX applied to C1 = C([161,28]), C2 = C([0,29]), C3 = C1 + C2 = C([0,28]), and C∩ = C1 ∩ C2 = C([161,29]) [i] based on
- linear OA(785, 171, F7, 39) (dual of [171, 86, 40]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−10,−9,…,28}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(767, 171, F7, 30) (dual of [171, 104, 31]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(788, 171, F7, 40) (dual of [171, 83, 41]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−10,−9,…,29}, and designed minimum distance d ≥ |I|+1 = 41 [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(714, 34, F7, 9) (dual of [34, 20, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(714, 48, F7, 9) (dual of [48, 34, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(714, 48, F7, 9) (dual of [48, 34, 10]-code), using
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.