Information on Result #2264165
Linear OA(3109, large, F3, 10) (dual of [large, large−109, 11]-code), using 18 times code embedding in larger space based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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(3109, 5197523, F3, 2, 10) (dual of [(5197523, 2), 10394937, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3109, 5197523, F3, 3, 10) (dual of [(5197523, 3), 15592460, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(3109, 5197523, F3, 4, 10) (dual of [(5197523, 4), 20789983, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(3109, 5197523, F3, 5, 10) (dual of [(5197523, 5), 25987506, 11]-NRT-code) | [i] | ||
| 5 | Digital (99, 109, 5197523)-net over F3 | [i] | ||