Information on Result #714386
Linear OA(767, 809, F7, 20) (dual of [809, 742, 21]-code), using construction XX applied to C1 = C([134,152]), C2 = C([133,150]), C3 = C1 + C2 = C([134,150]), and C∩ = C1 ∩ C2 = C([133,152]) based on
- linear OA(762, 800, F7, 19) (dual of [800, 738, 20]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {134,135,…,152}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(762, 800, F7, 18) (dual of [800, 738, 19]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {133,134,…,150}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(766, 800, F7, 20) (dual of [800, 734, 21]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {133,134,…,152}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(758, 800, F7, 17) (dual of [800, 742, 18]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {134,135,…,150}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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
- linear OA(70, 4, F7, 0) (dual of [4, 4, 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
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(767, 404, F7, 2, 20) (dual of [(404, 2), 741, 21]-NRT-code) | [i] | OOA Folding |