Information on Result #713876
Linear OA(796, 380, F7, 33) (dual of [380, 284, 34]-code), using construction XX applied to C1 = C([36,64]), C2 = C([32,58]), C3 = C1 + C2 = C([36,58]), and C∩ = C1 ∩ C2 = C([32,64]) based on
- linear OA(773, 342, F7, 29) (dual of [342, 269, 30]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {36,37,…,64}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(770, 342, F7, 27) (dual of [342, 272, 28]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {32,33,…,58}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(785, 342, F7, 33) (dual of [342, 257, 34]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {32,33,…,64}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(758, 342, F7, 23) (dual of [342, 284, 24]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {36,37,…,58}, and designed minimum distance d ≥ |I|+1 = 24 [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(797, 381, F7, 33) (dual of [381, 284, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(796, 190, F7, 2, 33) (dual of [(190, 2), 284, 34]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(796, 126, F7, 3, 33) (dual of [(126, 3), 282, 34]-NRT-code) | [i] | ||