A PTIME solution to the restricted conjugacy problem in generalized Heisenberg groups

IF 0.1 Q4 MATHEMATICS Groups Complexity Cryptology Pub Date : 2016-01-01 DOI:10.1515/gcc-2016-0003
Kenneth R. Blaney, Andrey Nikolaev
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引用次数: 5

Abstract

Abstract We examine the Anshel–Anshel–Goldfeld key exchange protocol with a generalized Heisenberg group, Hm, as a platform. We show that subgroup-restricted simultaneous conjugacy search problem in Hm can be solved in quasi-quintic time, which allows the computation of the private keys of the parties.
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广义Heisenberg群中受限共轭问题的PTIME解
摘要以广义Heisenberg群Hm为平台,研究了anshell - anshell - goldfeld密钥交换协议。我们证明了在拟五次时间内可以解决Hm中子群限制的同时共轭搜索问题,该问题允许计算各方的私钥。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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Amenability problem for Thompson's group $F$: state of the art Bounding conjugacy depth functions for wreath products of finitely generated abelian groups An axiomatization for the universal theory of the Heisenberg group Geodesic Growth of Numbered Graph Products The Axiomatics of Free Group Rings
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