Information on Result #952735
Linear OOA(3132, 59049, F3, 3, 18) (dual of [(59049, 3), 177015, 19]-NRT-code), using OOA 3-folding based on linear OA(3132, 177147, F3, 18) (dual of [177147, 177015, 19]-code), using
- 1 times truncation [i] based on linear OA(3133, 177148, F3, 19) (dual of [177148, 177015, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, 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(3132, 59049, F3, 4, 18) (dual of [(59049, 4), 236064, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3132, 59049, F3, 5, 18) (dual of [(59049, 5), 295113, 19]-NRT-code) | [i] | ||
| 3 | Digital (114, 132, 59049)-net over F3 | [i] | ||