Information on Result #1793899
Digital (100, 117, large)-net over F8, using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(8117, large, F8, 17) (dual of [large, large−117, 18]-code), using
- 4 times code embedding in larger space [i] based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, 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 (101, 117, large)-net over F8 | [i] | t-Expansion | |
| 2 | Digital (102, 117, large)-net over F8 | [i] | ||
| 3 | Digital (103, 117, large)-net over F8 | [i] | ||
| 4 | Digital (104, 117, large)-net over F8 | [i] | ||
| 5 | Digital (105, 117, large)-net over F8 | [i] | ||
| 6 | Digital (101, 118, large)-net over F8 | [i] | Net Duplication | |
| 7 | Digital (102, 119, large)-net over F8 | [i] | ||
| 8 | Digital (103, 120, large)-net over F8 | [i] | ||
| 9 | Digital (104, 121, large)-net over F8 | [i] | ||
| 10 | Digital (105, 122, large)-net over F8 | [i] | ||
| 11 | Digital (100, 116, large)-net over F8 | [i] | m-Reduction | |
| 12 | Digital (100, 115, large)-net over F8 | [i] | ||
| 13 | Digital (100, 114, large)-net over F8 | [i] | ||
| 14 | Digital (100, 113, large)-net over F8 | [i] | ||
| 15 | Digital (100, 112, large)-net over F8 | [i] | ||
| 16 | Digital (100, 111, large)-net over F8 | [i] | ||
| 17 | Digital (100, 110, large)-net over F8 | [i] | ||