Information on Result #713935
Linear OA(799, 380, F7, 34) (dual of [380, 281, 35]-code), using construction XX applied to C1 = C([35,64]), C2 = C([31,58]), C3 = C1 + C2 = C([35,58]), and C∩ = C1 ∩ C2 = C([31,64]) based on
- linear OA(776, 342, F7, 30) (dual of [342, 266, 31]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {35,36,…,64}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(773, 342, F7, 28) (dual of [342, 269, 29]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {31,32,…,58}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(788, 342, F7, 34) (dual of [342, 254, 35]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {31,32,…,64}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(761, 342, F7, 24) (dual of [342, 281, 25]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {35,36,…,58}, and designed minimum distance d ≥ |I|+1 = 25 [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, 16, F7, 3) (dual of [16, 12, 4]-code or 16-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(7100, 381, F7, 34) (dual of [381, 281, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(799, 190, F7, 2, 34) (dual of [(190, 2), 281, 35]-NRT-code) | [i] | OOA Folding | |