Information on Result #1768143
Digital (186, 203, large)-net over F3, using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(3203, large, F3, 17) (dual of [large, large−203, 18]-code), using
- 37 times code embedding in larger space [i] based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
Mode: 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 | Digital (187, 203, large)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (188, 203, large)-net over F3 | [i] | ||
| 3 | Digital (189, 203, large)-net over F3 | [i] | ||
| 4 | Digital (190, 203, large)-net over F3 | [i] | ||
| 5 | Digital (191, 203, large)-net over F3 | [i] | ||
| 6 | Digital (187, 204, large)-net over F3 | [i] | Net Duplication | |
| 7 | Digital (188, 205, large)-net over F3 | [i] | ||
| 8 | Digital (189, 206, large)-net over F3 | [i] | ||
| 9 | Digital (190, 207, large)-net over F3 | [i] | ||
| 10 | Digital (191, 208, large)-net over F3 | [i] | ||
| 11 | Digital (192, 209, large)-net over F3 | [i] | ||
| 12 | Digital (193, 210, large)-net over F3 | [i] | ||
| 13 | Digital (194, 211, large)-net over F3 | [i] | ||
| 14 | Digital (195, 212, large)-net over F3 | [i] | ||
| 15 | Digital (196, 213, large)-net over F3 | [i] | ||
| 16 | Digital (197, 214, large)-net over F3 | [i] | ||
| 17 | Digital (186, 202, large)-net over F3 | [i] | m-Reduction | |
| 18 | Digital (186, 201, large)-net over F3 | [i] | ||
| 19 | Digital (186, 200, large)-net over F3 | [i] | ||
| 20 | Digital (186, 199, large)-net over F3 | [i] | ||
| 21 | Digital (186, 198, large)-net over F3 | [i] | ||
| 22 | Digital (186, 197, large)-net over F3 | [i] | ||