Signature Calculus and Discrete Logarithm Problems

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Conference object , Article 01 Jan 2006Publisher:Springer Berlin Heidelberg

Authors: Ming-Deh A. Huang; Wayne Raskind;

doi: 10.1007/11792086_39

Signature Calculus and Discrete Logarithm Problems

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Abstract

Index calculus has been successful in many cases for treating the discrete logarithm problem for the multiplicative group of a finite field, but less so for elliptic curves over a finite field. In this paper we seek to explain why this might be the case from the perspective of arithmetic duality and propose a unified method for treating both problems which we call signature calculus.

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University of California System
United States
University of Southern California
United States

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