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New multivariate hash function quadratic polynomials multiplying linear polynomials

Content Provider	IET Digital Library
Author	Zou, Youjiao Ma, Wenping Ran, Zhanjun Wang, Shangping
Abstract	In this study the authors propose a new multivariate hash function with HAsh Iterative FrAmework framework which we call the hash function quadratic polynomials multiplying linear polynomials (QML). The new hash function is made of cubic polynomials which are the products of quadratic polynomials and linear polynomials. The authors design the quadratic-polynomial part of the compression function based on the centre map of the multivariate public key cryptosystem Matsumoto-Imai cryptosystem (MI). The hash function QML can keep the three cryptography properties and be immune to the pre-image attack, second pre-image attack, collision attack, differential attack and algebraic attack. The required memory storage is about 50% of the one which is built of the cubic polynomials and their coefficients are random. On the avalanche effect, by experiments the authors get the result that about one half of the output bits are different when one input bit is changed randomly. The one-round diffusion of the hash function QML is twice of that of Blake. Also the authors simplify the matrixes of the new hash function, analyse the rationality and show the comparable data. Finally, the authors give the advice to the parameters of the new hash function and summarise the paper.
Starting Page	181
Ending Page	188
Page Count	8
ISSN	17518709
Volume Number	7
e-ISSN	17518717
Issue Number	Issue 3, Sep (2013)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-ifs/7/3
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-ifs.2012.0035
Journal	IET Information Security
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebraic Attack Blake Centre Map-based Compression Function Collision Attack Cryptography Cryptography Property Cubic Polynomials Data Security Differential Attack Hash Function QML Hash Iterative Framework Interpolation And Function Approximation Iterative Method Memory Storage Multivariate Hash Function Quadratic Polynomials Multiplying Linear Polynomials Multivariate Public Key Cryptosystem MI Numerical Analysis One-round Diffusion Polynomial Public Key Cryptography Second Preimage Attack Storage Management
Content Type	Text
Resource Type	Article
Subject	Computer Networks and Communications Information Systems Software

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