Cryptology ePrint Archive: Report 2006/121

Counting Prime Numbers with Short Binary Signed Representation

Jos\'e de Jes\'us Angel Angel and Guillermo Morales-Luna

Abstract: Modular arithmetic with prime moduli has been crucial in present day cryptography. The primes of Mersenne, Solinas, Crandall and the so called IKE-MODP have been extensively used in efficient implementations. In this paper we study the density of primes with binary signed representation involving a small number of non-zero $\pm 1$-digits.

Category / Keywords: foundations / number theory, counting primes

Date: received 27 Mar 2006

Contact author: jjangel at computacion cs cinvestav mx

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Version: 20060329:194243 (All versions of this report)

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