Information on Result #2264789
Linear OA(3160, large, F3, 14) (dual of [large, large−160, 15]-code), using 24 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(3160, 5548648, F3, 2, 14) (dual of [(5548648, 2), 11097136, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3160, 5548648, F3, 3, 14) (dual of [(5548648, 3), 16645784, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(3160, 5548648, F3, 4, 14) (dual of [(5548648, 4), 22194432, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(3160, 5548648, F3, 5, 14) (dual of [(5548648, 5), 27743080, 15]-NRT-code) | [i] | ||
| 5 | Digital (146, 160, 5548648)-net over F3 | [i] | ||