Information on Result #713916
Linear OA(799, 378, F7, 34) (dual of [378, 279, 35]-code), using construction XX applied to C1 = C([337,24]), C2 = C([1,28]), C3 = C1 + C2 = C([1,24]), and C∩ = C1 ∩ C2 = C([337,28]) based on
- linear OA(779, 342, F7, 30) (dual of [342, 263, 31]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−5,−4,…,24}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(772, 342, F7, 28) (dual of [342, 270, 29]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,28], 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 = {−5,−4,…,28}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(763, 342, F7, 24) (dual of [342, 279, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(77, 23, F7, 5) (dual of [23, 16, 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, 13, F7, 3) (dual of [13, 9, 4]-code or 13-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 OOA(799, 126, F7, 3, 34) (dual of [(126, 3), 279, 35]-NRT-code) | [i] | OOA Folding | |