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A New Public-Key Cryptosystem via Mersenne Numbers
public-key cryptosystem Public-Key Cryptosystem via Mersenne Numbers
2017/5/31
In this work, we propose a new public-key cryptosystem whose security is based on the computational intractability of the following problem: Given a Mersenne number p = 2^n - 1, where n is a prime, a ...
Generalised Mersenne Numbers Revisited
implementation / elliptic curve cryptography high-speed arithmetic generalised Mersenne numbers cyclotomic primes generalised repunit primes
2012/3/26
Generalised Mersenne Numbers (GMNs) were defined by Solinas in 1999 and feature in the NIST Digital Signature Standard (FIPS 186-2) for use in elliptic curve cryptography. Their form is such that modu...