Information on Result #2264925
Linear OA(3172, large, F3, 15) (dual of [large, large−172, 16]-code), using 22 times code embedding in larger space based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(3172, 5350012, F3, 2, 15) (dual of [(5350012, 2), 10699852, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3172, 5350012, F3, 3, 15) (dual of [(5350012, 3), 16049864, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(3172, 5350012, F3, 4, 15) (dual of [(5350012, 4), 21399876, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(3172, 5350012, F3, 5, 15) (dual of [(5350012, 5), 26749888, 16]-NRT-code) | [i] | ||
| 5 | Digital (157, 172, 5350012)-net over F3 | [i] | ||