Information on Result #712930
Linear OA(779, 177, F7, 35) (dual of [177, 98, 36]-code), using construction XX applied to C1 = C([170,32]), C2 = C([0,33]), C3 = C1 + C2 = C([0,32]), and C∩ = C1 ∩ C2 = C([170,33]) 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 = {−1,0,…,32}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(776, 171, F7, 34) (dual of [171, 95, 35]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [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 = {−1,0,…,33}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(773, 171, F7, 33) (dual of [171, 98, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [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
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code) (see above)
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(779, 88, F7, 2, 35) (dual of [(88, 2), 97, 36]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(779, 59, F7, 3, 35) (dual of [(59, 3), 98, 36]-NRT-code) | [i] | ||