Information on Result #712795
Linear OA(771, 181, F7, 30) (dual of [181, 110, 31]-code), using construction XX applied to C1 = C([29,57]), C2 = C([34,58]), C3 = C1 + C2 = C([34,57]), and C∩ = C1 ∩ C2 = C([29,58]) based on
- linear OA(764, 171, F7, 29) (dual of [171, 107, 30]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,57}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(764, 171, F7, 25) (dual of [171, 107, 26]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {34,35,…,58}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(767, 171, F7, 30) (dual of [171, 104, 31]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,58}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(761, 171, F7, 24) (dual of [171, 110, 25]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {34,35,…,57}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), using
- Reed–Solomon code RS(3,7) [i]
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(771, 90, F7, 2, 30) (dual of [(90, 2), 109, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(771, 60, F7, 3, 30) (dual of [(60, 3), 109, 31]-NRT-code) | [i] | ||