Information on Result #2264327
Linear OA(3122, large, F3, 11) (dual of [large, large−122, 12]-code), using 16 times code embedding in larger space based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [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(3122, 5387050, F3, 2, 11) (dual of [(5387050, 2), 10773978, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3122, 5387050, F3, 3, 11) (dual of [(5387050, 3), 16161028, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(3122, 5387050, F3, 4, 11) (dual of [(5387050, 4), 21548078, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(3122, 5387050, F3, 5, 11) (dual of [(5387050, 5), 26935128, 12]-NRT-code) | [i] | ||
| 5 | Digital (111, 122, 5387050)-net over F3 | [i] | ||