Information on Result #712889
Linear OA(799, 207, F7, 39) (dual of [207, 108, 40]-code), using construction XX applied to C1 = C([22,56]), C2 = C([29,60]), C3 = C1 + C2 = C([29,56]), and C∩ = C1 ∩ C2 = C([22,60]) based on
- linear OA(778, 171, F7, 35) (dual of [171, 93, 36]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {22,23,…,56}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(770, 171, F7, 32) (dual of [171, 101, 33]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,60}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(785, 171, F7, 39) (dual of [171, 86, 40]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {22,23,…,60}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(763, 171, F7, 28) (dual of [171, 108, 29]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,56}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(710, 25, F7, 6) (dual of [25, 15, 7]-code), using
- an extension Ce(5) of the narrow-sense BCH-code C(I) with length 24 | 72−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(74, 11, F7, 3) (dual of [11, 7, 4]-code or 11-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, 69, F7, 3, 39) (dual of [(69, 3), 108, 40]-NRT-code) | [i] | OOA Folding | |