Let F be a field of q = p" elements, where p is prime. We present two new probabilistic algorithms for factoring polynomials in FIX] that make particularly efficient use of random bits. They are easy to implement, and require no randomness beyond an initial seed whose length is proportional to the i
Primality testing with fewer random bits
✍ Scribed by René Peralta; Victor Shoup
- Book ID
- 105142004
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 574 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1016-3328
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A new statistical test for random bit generators is presented which, in contrast to presently used statistical tests, is universal in the sense that it can detect any significant deviation of a device's output statistics from the statistics of a truly random bit source when the device can be modeled
On August 6, 2002,a paper with the title “PRIMES is in P”, by M. Agrawal, N. Kayal, and N. Saxena, appeared on the website of the Indian Institute of Technology at Kanpur, India. In this paper it was shown that the “primality problem”hasa“deterministic algorithm” that runs in “polynomial time”. Find
On August 6, 2002,a paper with the title “PRIMES is in P”, by M. Agrawal, N. Kayal, and N. Saxena, appeared on the website of the Indian Institute of Technology at Kanpur, India. In this paper it was shown that the “primality problem”hasa“deterministic algorithm” that runs in “polynomial time”. Find