Information on Result #713161
Linear OA(7109, 177, F7, 49) (dual of [177, 68, 50]-code), using construction XX applied to C1 = C([170,46]), C2 = C([0,47]), C3 = C1 + C2 = C([0,46]), and C∩ = C1 ∩ C2 = C([170,47]) based on
- linear OA(7106, 171, F7, 48) (dual of [171, 65, 49]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−1,0,…,46}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(7106, 171, F7, 48) (dual of [171, 65, 49]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,47], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(7109, 171, F7, 49) (dual of [171, 62, 50]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−1,0,…,47}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(7103, 171, F7, 47) (dual of [171, 68, 48]-code), using the expurgated narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [0,46], and designed minimum distance d ≥ |I|+1 = 48 [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(7109, 88, F7, 2, 49) (dual of [(88, 2), 67, 50]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(7109, 59, F7, 3, 49) (dual of [(59, 3), 68, 50]-NRT-code) | [i] | ||