任意伽罗瓦域多元二次拟群的构造

2011 7th International Conference on Information Assurance and Security (IAS) Pub Date : 2011-12-01 DOI:10.1109/ISIAS.2011.6122839

Simona Samardjiska, Yanling Chen, D. Gligoroski

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引用次数: 12

摘要

本文给出了在任意特征阶的伽罗瓦域上构造多元二次拟群的两种方法。我们的构造扩展了先前为特征为2的素域上的运算所定义的构造。这些新结构的应用可以将最近引入的基于mqq的公钥方案家族的公钥大小减少58倍。

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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Construction of Multivariate Quadratic Quasigroups (MQQs) in arbitrary Galois fields

In this paper we describe two methods for constructing Multivariate Quadratic Quasigroups (MQQ) in Galois fields of any characteristic and order. Our constructions extend the previously known constructions defined for operations over the prime field of characteristic 2. Application of these new constructions can reduce the public key size of the recently introduced family of public key schemes based on MQQs up to 58 times.

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2011 7th International Conference on Information Assurance and Security (IAS)

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