منابع مشابه
Fast Generation of Random, Strong Rsa Primes
A number of cryptographic standards currently under development call for the use of strong primes in the generation of an RSA key. This paper suggests a fast way of generating random strong primes that also satisfy a number of other cryptographic requirements. The method requires no more time to generate strong primes than it takes to generate random primes.
متن کاملAre 'Strong' Primes Needed for RSA
We review the arguments in favor of using so called strong primes in the RSA public key cryptosystem There are two types of such arguments those that say that strong primes are needed to protect against factoring attacks and those that say that strong primes are needed to protect against cycling attacks based on repeated encryption We argue that contrary to common belief it is unnecessary to us...
متن کاملCatalan Numbers, Primes and Twin Primes
with C0 = 1. Their appearances occur in a dazzling variety of combinatorial settings where they are used to enumerate all manner of geometric and algebraic objects (see Richard Stanley’s collection [28, Chap. 6]; an online Addendum is continuously updated). Quite a lot is known about the divisibility of the Catalan numbers; see [2, 10]. They are obviously closely related to the middle binomial ...
متن کاملSmall Gaps between Primes or Almost Primes
Let pn denote the nth prime. Goldston, Pintz, and Yıldırım recently proved that lim inf n→∞ (pn+1 − pn) log pn = 0. We give an alternative proof of this result. We also prove some corresponding results for numbers with two prime factors. Let qn denote the nth number that is a product of exactly two distinct primes. We prove that lim inf n→∞ (qn+1 − qn) ≤ 26. If an appropriate generalization of ...
متن کاملInterrelation Among RSA Security, Strong Primes, and Factoring
The security of RSA depends critically on the inability of an adversary to compute private key from the public key. The problem of computing private key from public key is equivalent to the problem of factoring n into its prime factors. Therefore it is important for the RSA user to select prime numbers in such a way that the problem of factoring n is computationally infeasible for an adversary....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Missouri Journal of Mathematical Sciences
سال: 1990
ISSN: 0899-6180
DOI: 10.35834/1990/0201004