131 research outputs found

    Journal of Cryptology: Preface

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    Generating RSA moduli with a predetermined portion

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    This paper reviews and generalizes a method to generate RSA moduli with a predetermined portion. The potential advantages of the resulting methods are discussed. Both the storage and the computational requirements of the RSA cryptosystem can be considerably reduced. The constructions are as efficient as generation of regular RSA moduli, and the resulting moduli do not seem to offer less security than regular RSA modul

    Using cyclotomic polynomials to construct efficient discrete logarithm cryptosystems over finite fields

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    The author shows how to use cyclotomic polynomials to construct subgroups of multiplicative groups of finite fields that allow very efficient implementation of discrete logarithm based public key cryptosystems. Depending on the type of application and implementation, the resulting schemes may be up to three times faster than the fastest known schemes of comparable security that use more conventional choices of subgroups or finite field

    Factoring polynomials over algebraic number fields

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