Information on Result #952747
Linear OOA(3156, 531441, F3, 3, 18) (dual of [(531441, 3), 1594167, 19]-NRT-code), using OOA 3-folding based on linear OA(3156, 1594323, F3, 18) (dual of [1594323, 1594167, 19]-code), using
- 1 times truncation [i] based on linear OA(3157, 1594324, F3, 19) (dual of [1594324, 1594167, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, 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(3156, 495074, F3, 4, 18) (dual of [(495074, 4), 1980140, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3156, 495074, F3, 5, 18) (dual of [(495074, 5), 2475214, 19]-NRT-code) | [i] | ||
| 3 | Digital (138, 156, 495074)-net over F3 | [i] | ||