Information on Result #714382
Linear OA(760, 808, F7, 18) (dual of [808, 748, 19]-code), using construction XX applied to C1 = C([123,139]), C2 = C([122,138]), C3 = C1 + C2 = C([123,138]), and C∩ = C1 ∩ C2 = C([122,139]) based on
- linear OA(756, 800, F7, 17) (dual of [800, 744, 18]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {123,124,…,139}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(756, 800, F7, 17) (dual of [800, 744, 18]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {122,123,…,138}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(760, 800, F7, 18) (dual of [800, 740, 19]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {122,123,…,139}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(752, 800, F7, 16) (dual of [800, 748, 17]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {123,124,…,138}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- 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
- linear OA(70, 4, F7, 0) (dual of [4, 4, 1]-code) (see above)
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(760, 404, F7, 2, 18) (dual of [(404, 2), 748, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(760, 269, F7, 3, 18) (dual of [(269, 3), 747, 19]-NRT-code) | [i] | ||