Information on Result #812597
Linear OOA(321, 122, F3, 2, 7) (dual of [(122, 2), 223, 8]-NRT-code), using OOA 2-folding based on linear OA(321, 244, F3, 7) (dual of [244, 223, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 244 | 310−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
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(3157, 4194423, F3, 2, 14) (dual of [(4194423, 2), 8388689, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3171, 4194423, F3, 2, 15) (dual of [(4194423, 2), 8388675, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(321, 122, F3, 3, 7) (dual of [(122, 3), 345, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(321, 122, F3, 4, 7) (dual of [(122, 4), 467, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(321, 122, F3, 5, 7) (dual of [(122, 5), 589, 8]-NRT-code) | [i] | ||
| 6 | Digital (14, 21, 122)-net over F3 | [i] | ||