Information on Result #1794624
Digital (113, 132, large)-net over F8, using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(8132, large, F8, 19) (dual of [large, large−132, 20]-code), using
- 3 times code embedding in larger space [i] based on linear OA(8129, large, F8, 19) (dual of [large, large−129, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, 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 (114, 132, large)-net over F8 | [i] | t-Expansion | |
| 2 | Digital (115, 132, large)-net over F8 | [i] | ||
| 3 | Digital (116, 132, large)-net over F8 | [i] | ||
| 4 | Digital (117, 132, large)-net over F8 | [i] | ||
| 5 | Digital (118, 132, large)-net over F8 | [i] | ||
| 6 | Digital (114, 133, large)-net over F8 | [i] | Net Duplication | |
| 7 | Digital (115, 134, large)-net over F8 | [i] | ||
| 8 | Digital (116, 135, large)-net over F8 | [i] | ||
| 9 | Digital (117, 136, large)-net over F8 | [i] | ||
| 10 | Digital (118, 137, large)-net over F8 | [i] | ||
| 11 | Digital (113, 131, large)-net over F8 | [i] | m-Reduction | |
| 12 | Digital (113, 130, large)-net over F8 | [i] | ||
| 13 | Digital (113, 129, large)-net over F8 | [i] | ||
| 14 | Digital (113, 128, large)-net over F8 | [i] | ||
| 15 | Digital (113, 127, large)-net over F8 | [i] | ||
| 16 | Digital (113, 126, large)-net over F8 | [i] | ||
| 17 | Digital (113, 125, large)-net over F8 | [i] | ||
| 18 | Digital (113, 124, large)-net over F8 | [i] | ||