Towards a Uniform Description of Several Group Based Cryptographic Primitives

MARIA ISABEL GONZALEZ VASCO; CONSUELO MARTINEZ; RAINER STEINWANDT

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Towards a Uniform Description of Several Group Based Cryptographic Primitives

机译：对几种基于组的密码基元的统一描述

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摘要

The public key cryptosystems MST_1 and MST_2 make use of certain kinds of factorizations of finite groups. We show that generalizing such factorizations to infinite groups allows a uniform description of several proposed cryptographic primitives. In particular, a generalization of MST_2 can be regarded as a unifying framework for several suggested cryptosystems including the ElGamal public key system, a public key system based on braid groups, and the MOR cryptosystem.

机译：公钥密码系统MST_1和MST_2利用有限组的某些因式分解。我们表明，将这样的因式分解推广到无限组可以对几个提议的密码原语进行统一描述。特别是，MST_2的泛化可以被视为几种建议的密码系统的统一框架，其中包括ElGamal公钥系统，基于辫子组的公钥系统和MOR密码系统。

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来源
《Designs, Codes and Crytography》 |2004年第3期|p.215-226|共12页
作者
MARIA ISABEL GONZALEZ VASCO; CONSUELO MARTINEZ; RAINER STEINWANDT;
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作者单位

Departamento de Matematicas, Facultad de Ciencias, c/Calvo Sotelo, s, 33007 Oviedo, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
public key cryptography; group-based cryptography; finitely presented groups;

机译：公钥密码学;基于组的密码学;有限表示的组;

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Towards a Uniform Description of Several Group Based Cryptographic Primitives

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