Modern Factoring Algorithms
نویسندگان
چکیده
Gauss and lesser mathematicians may be justified in rejoicing that there is one science [number theory] at any rate, and that their own, whose very remoteness from ordinary human activities should keep it gentle and clean. Unfortunately for Hardy, nowadays, number theoretic results form the basis of several applications in the field of cryptography. In this survey, we will present the most recent approaches on solving the factoring problem. In particular, we will study Pollard's ρ algorithm, the Quadratic and Number Field Sieve and finally, we will give a brief overview on factoring in quantum computers .
منابع مشابه
The technical newsletter of RSA Laboratories , a division of RSA Data Security
All the known factoring algorithms can be divided into two broad types: algorithms whose running time depends on the size of the factors, and algorithms whose running time depends only on the size of the factored number n. The oldest factoring algorithms typically searched for the smallest factor p of n, and were thus of the first type. However, modern algorithms tend to use indirect approaches...
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