Information on Result #714414
Linear OA(7106, 808, F7, 32) (dual of [808, 702, 33]-code), using construction XX applied to C1 = C([123,153]), C2 = C([122,152]), C3 = C1 + C2 = C([123,152]), and C∩ = C1 ∩ C2 = C([122,153]) based on
- linear OA(7102, 800, F7, 31) (dual of [800, 698, 32]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {123,124,…,153}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(7102, 800, F7, 31) (dual of [800, 698, 32]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {122,123,…,152}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(7106, 800, F7, 32) (dual of [800, 694, 33]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {122,123,…,153}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(798, 800, F7, 30) (dual of [800, 702, 31]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {123,124,…,152}, and designed minimum distance d ≥ |I|+1 = 31 [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(7106, 404, F7, 2, 32) (dual of [(404, 2), 702, 33]-NRT-code) | [i] | OOA Folding | |