Information on Result #714376
Linear OA(744, 808, F7, 13) (dual of [808, 764, 14]-code), using construction XX applied to C1 = C([123,134]), C2 = C([122,133]), C3 = C1 + C2 = C([123,133]), and C∩ = C1 ∩ C2 = C([122,134]) based on
- linear OA(740, 800, F7, 12) (dual of [800, 760, 13]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {123,124,…,134}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(740, 800, F7, 12) (dual of [800, 760, 13]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {122,123,…,133}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(744, 800, F7, 13) (dual of [800, 756, 14]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {122,123,…,134}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(736, 800, F7, 11) (dual of [800, 764, 12]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {123,124,…,133}, and designed minimum distance d ≥ |I|+1 = 12 [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(744, 404, F7, 2, 13) (dual of [(404, 2), 764, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(744, 269, F7, 3, 13) (dual of [(269, 3), 763, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(744, 134, F7, 13, 13) (dual of [(134, 13), 1698, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |