A construction of a new-public key cryptosystems on basis of multivariate polynomials of high degree - a method yielding short public key cryptosystem and short digital signature scheme

Masao Kasahara; Ryuichi Sakai

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A construction of a new-public key cryptosystems on basis of multivariate polynomials of high degree - a method yielding short public key cryptosystem and short digital signature scheme

机译：高度多变量多项式的新公共关键密码系统的构建 - 一种屈服短公钥密码系统和短数字签名方案的方法

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Extensive studies have been made on the public-key cryptosystems based on multivariate polynomials However most of the proposed public key cryptosystems based on multivariate polynomials are proved not secure. In this paper, we propose several types of new constructions of public key cryptosystems based on multivariate polynomials. One of the features of the proposed cryptosystems is that the set of random multivarate polynomials are kept as "secret keys just as like RSA cryptosystem's decoding key, d". We show an example of the proposed cryptosystem whose size is only 80 bits.

机译：基于多变量多项式的公钥密码系统进行了广泛的研究，然而，大多数基于多变量多项式的拟议公钥密码系统都被证明不安全。在本文中，我们提出了基于多变量多项式的公钥密码系统的几种新建。所提出的密码系统的一个特征是随机多功能多项式的集合保持为“秘密密钥，就像RSA密码系统的解码键D”一样。我们展示了所提出的密码系统的示例，其大小仅为80位。

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《電子情報通信学会技術研究報告. 情報セキュリティ. Information Security》 |2002年第323期|共8页
作者
Masao Kasahara; Ryuichi Sakai;
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原文格式 PDF
正文语种 jpn
中图分类通信保密与通信安全;
关键词
Public key cryptosystem; Multivariate polynomials; Digital signature;

机译：公钥密码系统;多变量多项式;数字签名;

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1. A construction of a new-public key cryptosystems on basis of multivariate polynomials of high degree - a method yielding short public key cryptosystem and short digital signature scheme [J] . Masao Kasahara, Ryuichi Sakai 電子情報通信学会技術研究報告. 情報セキュリティ. Information Security . 2002,第323期

机译：基于高阶多项式的新公钥密码系统的构造-一种产生短公钥密码系统和短数字签名方案的方法
2. New Classes of Public Key Cryptosystems Constructed on the Basis of Low-Density Multivariate Polynomials: Along with K(Ⅰ)-Knapsack Scheme [J] . Masao KASAHARA 電子情報通信学会技術研究報告 . 2008,第207期

机译：基于低密度多元多项式构造的新类别的公钥密码系统：连同K（Ⅰ）-背包方案
3. New Classes of Public Key Cryptosystems Constructed on the Basis of Low-Density Multivariate Polynomials - Along with K(I)·Knapsack Scheme [J] . Masao KASAHARA 電子情報通信学会技術研究報告. 情報セキュリティ. Information Security . 2008,第207期

机译：基于低密度多元多项式构造的新类别的公钥密码系统-连同K（I）·背包方案
4. Digital signatures and public key cryptosystems with multilayer perceptrons [C] . Yee, L.P., De Silva, . 2002

机译：具有多层感知器的数字签名和公钥密码系统
5. The interpolating random spline cryptosystem and the chaotic-map public-key cryptosystem. [D] . Hwu, Fengi. 1993

机译：内插随机样条密码系统和混沌映射公共密钥密码系统。
6. An Anonymous User Authentication and Key Agreement Scheme Based on a Symmetric Cryptosystem in Wireless Sensor Networks [O] . Jaewook Jung, Jiye Kim, Younsung Choi, 2016

机译：无线传感器网络中基于对称密码系统的匿名用户认证和密钥协商方案
7. Ring signature scheme based on multivariate public key cryptosystems [O] . Wang Shangping, Ma Rui, Zhang Yaling, 2011

机译：基于多元公共密钥密码系统的环签名方案
8. Method for Obtaining Digital Signatures and Public-Key Cryptosystems [R] . Rivest, R L, Shamir, A, Adleman, L 1978

机译：获取数字签名和公钥密码系统的方法

A construction of a new-public key cryptosystems on basis of multivariate polynomials of high degree - a method yielding short public key cryptosystem and short digital signature scheme

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