Information on Result #1194170
Digital (78, 97, 59049)-net over F9, using net defined by OOA based on linear OOA(997, 59049, F9, 19, 19) (dual of [(59049, 19), 1121834, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(997, 531442, F9, 19) (dual of [531442, 531345, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 912−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (79, 97, 59049)-net over F9 | [i] | t-Expansion | |
| 2 | Digital (79, 98, 59049)-net over F9 | [i] | Net Duplication | |
| 3 | Digital (87, 106, 59059)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (88, 107, 59065)-net over F9 | [i] | ||
| 5 | Digital (89, 108, 59069)-net over F9 | [i] | ||
| 6 | Digital (90, 109, 59077)-net over F9 | [i] | ||