Information on Result #2264788
Linear OA(3159, large, F3, 14) (dual of [large, large−159, 15]-code), using 23 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(3159, 5063222, F3, 2, 14) (dual of [(5063222, 2), 10126285, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3159, 5063222, F3, 3, 14) (dual of [(5063222, 3), 15189507, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(3159, 5063222, F3, 4, 14) (dual of [(5063222, 4), 20252729, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(3159, 5063222, F3, 5, 14) (dual of [(5063222, 5), 25315951, 15]-NRT-code) | [i] | ||
| 5 | Digital (145, 159, 5063222)-net over F3 | [i] | ||