Information on Result #1777493
Digital (149, 166, large)-net over F4, using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(4166, large, F4, 17) (dual of [large, large−166, 18]-code), using
- 21 times code embedding in larger space [i] based on linear OA(4145, large, F4, 17) (dual of [large, large−145, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [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 (150, 166, large)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (151, 166, large)-net over F4 | [i] | ||
| 3 | Digital (152, 166, large)-net over F4 | [i] | ||
| 4 | Digital (153, 166, large)-net over F4 | [i] | ||
| 5 | Digital (154, 166, large)-net over F4 | [i] | ||
| 6 | Digital (150, 167, large)-net over F4 | [i] | Net Duplication | |
| 7 | Digital (151, 168, large)-net over F4 | [i] | ||
| 8 | Digital (152, 169, large)-net over F4 | [i] | ||
| 9 | Digital (153, 170, large)-net over F4 | [i] | ||
| 10 | Digital (154, 171, large)-net over F4 | [i] | ||
| 11 | Digital (155, 172, large)-net over F4 | [i] | ||
| 12 | Digital (156, 173, large)-net over F4 | [i] | ||
| 13 | Digital (157, 174, large)-net over F4 | [i] | ||
| 14 | Digital (149, 165, large)-net over F4 | [i] | m-Reduction | |
| 15 | Digital (149, 164, large)-net over F4 | [i] | ||
| 16 | Digital (149, 163, large)-net over F4 | [i] | ||
| 17 | Digital (149, 162, large)-net over F4 | [i] | ||
| 18 | Digital (149, 161, large)-net over F4 | [i] | ||