Welcome to the resource topic for 2008/284
Title:
Breaking the Akiyama-Goto cryptosystem
Authors: P. Ivanov, J. F. Voloch
Abstract:Akiyama and Goto have proposed a cryptosystem based on rational points on curves over function fields (stated in the equivalent form of sections of fibrations on surfaces). It is easy to construct a curve passing through a few given points, but finding the points, given only the curve, is hard. We show how to break their original cryptosystem by using algebraic points instead of rational points and discuss possibilities for changing their original system to create a secure one.
ePrint: https://eprint.iacr.org/2008/284
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