Information on Result #2264328
Linear OA(3123, large, F3, 11) (dual of [large, large−123, 12]-code), using 17 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(3123, 6086457, F3, 2, 11) (dual of [(6086457, 2), 12172791, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3123, 6086457, F3, 3, 11) (dual of [(6086457, 3), 18259248, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(3123, 6086457, F3, 4, 11) (dual of [(6086457, 4), 24345705, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(3123, 6086457, F3, 5, 11) (dual of [(6086457, 5), 30432162, 12]-NRT-code) | [i] | ||
| 5 | Digital (112, 123, 6086457)-net over F3 | [i] | ||