Abstract
A new summation formula based on the orthogonal property of Walsh functions is devised. Using this formula, the k-dimensional discrepancy of the generalized feedback shift register (GFSR) pseudorandom numbers is derived. The relation between the discrepancy and k-distribution of GFSR sequences is also obtained. Finally the definition of optimal GPSR pseudorandom number generators is introduced.
| Original language | English |
|---|---|
| Pages (from-to) | 939-949 |
| Number of pages | 11 |
| Journal | Journal of the ACM (JACM) |
| Volume | 34 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Oct 1 1987 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Software
- Control and Systems Engineering
- Information Systems
- Hardware and Architecture
- Artificial Intelligence