Information on Result #712912
Linear OA(780, 181, F7, 35) (dual of [181, 101, 36]-code), using construction XX applied to C1 = C([29,62]), C2 = C([28,60]), C3 = C1 + C2 = C([29,60]), and C∩ = C1 ∩ C2 = C([28,62]) based on
- linear OA(776, 171, F7, 34) (dual of [171, 95, 35]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,62}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(773, 171, F7, 33) (dual of [171, 98, 34]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {28,29,…,60}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(779, 171, F7, 35) (dual of [171, 92, 36]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {28,29,…,62}, 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(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [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(780, 90, F7, 2, 35) (dual of [(90, 2), 100, 36]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(780, 60, F7, 3, 35) (dual of [(60, 3), 100, 36]-NRT-code) | [i] | ||