Information on Result #2264793
Linear OA(3164, large, F3, 14) (dual of [large, large−164, 15]-code), using 28 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(3164, 8002540, F3, 2, 14) (dual of [(8002540, 2), 16004916, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3164, 8002540, F3, 3, 14) (dual of [(8002540, 3), 24007456, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(3164, 8002540, F3, 4, 14) (dual of [(8002540, 4), 32009996, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(3164, 8002540, F3, 5, 14) (dual of [(8002540, 5), 40012536, 15]-NRT-code) | [i] | ||
| 5 | Digital (150, 164, 8002540)-net over F3 | [i] | ||