Information on Result #713854
Linear OA(793, 378, F7, 32) (dual of [378, 285, 33]-code), using construction XX applied to C1 = C([29,56]), C2 = C([35,60]), C3 = C1 + C2 = C([35,56]), and C∩ = C1 ∩ C2 = C([29,60]) based on
- linear OA(772, 342, F7, 28) (dual of [342, 270, 29]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,56}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(767, 342, F7, 26) (dual of [342, 275, 27]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {35,36,…,60}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(782, 342, F7, 32) (dual of [342, 260, 33]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {29,30,…,60}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(757, 342, F7, 22) (dual of [342, 285, 23]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {35,36,…,56}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(77, 22, F7, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(74, 14, F7, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,7)), using
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 OA(794, 379, F7, 32) (dual of [379, 285, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(793, 189, F7, 2, 32) (dual of [(189, 2), 285, 33]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(793, 126, F7, 3, 32) (dual of [(126, 3), 285, 33]-NRT-code) | [i] | ||