Information on Result #714372
Linear OA(736, 808, F7, 11) (dual of [808, 772, 12]-code), using construction XX applied to C1 = C([130,139]), C2 = C([129,138]), C3 = C1 + C2 = C([130,138]), and C∩ = C1 ∩ C2 = C([129,139]) based on
- linear OA(732, 800, F7, 10) (dual of [800, 768, 11]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {130,131,…,139}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(732, 800, F7, 10) (dual of [800, 768, 11]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {129,130,…,138}, and designed minimum distance d ≥ |I|+1 = 11 [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 = {129,130,…,139}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(728, 800, F7, 9) (dual of [800, 772, 10]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {130,131,…,138}, and designed minimum distance d ≥ |I|+1 = 10 [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(736, 404, F7, 2, 11) (dual of [(404, 2), 772, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(736, 269, F7, 3, 11) (dual of [(269, 3), 771, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(736, 161, F7, 11, 11) (dual of [(161, 11), 1735, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |