Information on Result #713755
Linear OA(778, 365, F7, 28) (dual of [365, 287, 29]-code), using construction XX applied to C1 = C([338,21]), C2 = C([0,23]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([338,23]) based on
- 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 = {−4,−3,…,21}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(761, 342, F7, 24) (dual of [342, 281, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25 [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 = {−4,−3,…,23}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(755, 342, F7, 22) (dual of [342, 287, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,7)), using
- linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
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(778, 182, F7, 2, 28) (dual of [(182, 2), 286, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(778, 121, F7, 3, 28) (dual of [(121, 3), 285, 29]-NRT-code) | [i] | ||