Information on Result #714409
Linear OA(790, 808, F7, 27) (dual of [808, 718, 28]-code), using construction XX applied to C1 = C([128,153]), C2 = C([127,152]), C3 = C1 + C2 = C([128,152]), and C∩ = C1 ∩ C2 = C([127,153]) based on
- linear OA(786, 800, F7, 26) (dual of [800, 714, 27]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {128,129,…,153}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(786, 800, F7, 26) (dual of [800, 714, 27]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {127,128,…,152}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(790, 800, F7, 27) (dual of [800, 710, 28]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {127,128,…,153}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(782, 800, F7, 25) (dual of [800, 718, 26]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {128,129,…,152}, and designed minimum distance d ≥ |I|+1 = 26 [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(790, 404, F7, 2, 27) (dual of [(404, 2), 718, 28]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(790, 269, F7, 3, 27) (dual of [(269, 3), 717, 28]-NRT-code) | [i] | ||