Information on Result #1811798
Digital (57, 76, large)-net over F64, using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(6476, large, F64, 19) (dual of [large, large−76, 20]-code), using
- 3 times code embedding in larger space [i] based on linear OA(6473, large, F64, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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 (58, 76, large)-net over F64 | [i] | t-Expansion | |
| 2 | Digital (59, 76, large)-net over F64 | [i] | ||
| 3 | Digital (58, 77, large)-net over F64 | [i] | Net Duplication | |
| 4 | Digital (59, 78, large)-net over F64 | [i] | ||
| 5 | Digital (57, 75, large)-net over F64 | [i] | m-Reduction | |
| 6 | Digital (57, 74, large)-net over F64 | [i] | ||
| 7 | Digital (57, 73, large)-net over F64 | [i] | ||
| 8 | Digital (57, 72, large)-net over F64 | [i] | ||
| 9 | Digital (57, 71, large)-net over F64 | [i] | ||
| 10 | Digital (57, 70, large)-net over F64 | [i] | ||
| 11 | Digital (57, 69, large)-net over F64 | [i] | ||
| 12 | Digital (57, 68, large)-net over F64 | [i] | ||
| 13 | Digital (57, 67, large)-net over F64 | [i] | ||