generic algorithmsTo prove or disprove the computational equivalence of solving the RSA problem and factoring integers is a longstanding open problem in cryptography. This paper provides some evidence towards the validity of this equivalence. We show that any efficient generic ring algorithm which solves...
P. Shor. “Algorithms for Quantum Computation: Discrete Logarithms and Factoring.” Proceedings of the 35th FOCS, IEEE, 1994, 124–134. About this Chapter Title Factoring: The DNA solution Book Title Advances in Cryptology — ASIACRYPT'94 Book Subtitle 4th International Conferences on the Theory...
Factoring Algorithms for Computing K-Terminal Network Reliability The K-terminal reliability of GK, R(GK), is the probability that all vertices in K are connected by working edges. A factoring algorithm for computing... Wood,R Kevin - 《Reliability IEEE Transactions on》 被引量: 278发表: ...
With the advent of the public key cryptography [2,13,12], in the late 1970s, the factorization problem became more im- portant and then more attractive. We have therefore seen a sequence of new methods and different algorithms. In 1984, Pomerance proposed the quadratic sieve [11]. Some ...
In practice, the best known algorithms for deciding SAT implicitly also provide a solution and thus the repeated applications of a SAT decision algorithm are not necessary. Using binary encoding for integers we construct circuits that encode a predicate on numbers, so that solving the corresponding ...
In this paper, this combinatorial problem is reduced to a type of Knapsack problem that can be solved with lattice reduction algorithms. The result is a practical algorithm that can factor polynomials that are far out of reach for previous algorithms. The presented solution to the combinatorial ...
Algorithms in Invariant Theory Second edition. 2008 Springer-Verlag/Wien. Chapter2 Invariant theory of finite groups. ntbv2 Victor Shoup. A Computational Introduction to Number Theory and Algebra. Second edition. December 2008 Cambridge University Press. New York University Chapter20 Algorithms for finit...
P Flajolet,X Gourdon,D Panario - 《Journal of Algorithms》 被引量: 86发表: 2001年 A Fast Deterministic Algorithm for Factoring Polynomials over Finite Fields of Small Characteristic Shoup, V.: A fast deterministic algorithm for factoring polynomials over finite fields of small characteristic. In:...
We will point out the many obvious and hidden uses of RSA and related algorithms and outline how software engineers and security teams can operate in a post-RSA world. We will also discuss the results of our survey of popular products and software, and point out the ways in which ...
These are, of course, the two families of public-key cryptography. One family consists of algorithms whose security is based on the discrete logarithm problem (DLP), including elliptic curve cryptography (ECC). The other bases its security on the difficulty of integer factorization. Today, both ...