Information on Result #952741
Linear OOA(3144, 177147, F3, 3, 18) (dual of [(177147, 3), 531297, 19]-NRT-code), using OOA 3-folding based on linear OA(3144, 531441, F3, 18) (dual of [531441, 531297, 19]-code), using
- 1 times truncation [i] based on linear OA(3145, 531442, F3, 19) (dual of [531442, 531297, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, 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(3144, 177147, F3, 4, 18) (dual of [(177147, 4), 708444, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3144, 177147, F3, 5, 18) (dual of [(177147, 5), 885591, 19]-NRT-code) | [i] | ||
| 3 | Digital (126, 144, 177147)-net over F3 | [i] | ||