Information on Result #952726
Linear OOA(3120, 19683, F3, 3, 18) (dual of [(19683, 3), 58929, 19]-NRT-code), using OOA 3-folding based on linear OA(3120, 59049, F3, 18) (dual of [59049, 58929, 19]-code), using
- 1 times truncation [i] based on linear OA(3121, 59050, F3, 19) (dual of [59050, 58929, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(3120, 19683, F3, 4, 18) (dual of [(19683, 4), 78612, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3120, 19683, F3, 5, 18) (dual of [(19683, 5), 98295, 19]-NRT-code) | [i] | ||
| 3 | Digital (102, 120, 19683)-net over F3 | [i] | ||