Information on Result #2264786
Linear OA(3157, large, F3, 14) (dual of [large, large−157, 15]-code), using 21 times code embedding in larger space based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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, 4216058, F3, 2, 14) (dual of [(4216058, 2), 8431959, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3157, 4216058, F3, 3, 14) (dual of [(4216058, 3), 12648017, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(3157, 4216058, F3, 4, 14) (dual of [(4216058, 4), 16864075, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(3157, 4216058, F3, 5, 14) (dual of [(4216058, 5), 21080133, 15]-NRT-code) | [i] | ||
| 5 | Digital (143, 157, 4216058)-net over F3 | [i] | ||