Randomized nonlinear software-oriented MDS diffusion layers-Reference-Cited by-同舟云学术

Randomized nonlinear software-oriented MDS diffusion layers

Published:2019-10-15 Issue:2 Volume:11 Page:123-131
ISSN:1869-6104
Container-title:Groups Complexity Cryptology
language:en
Short-container-title:

Author:

Mirzaee Shamsabad Mohammad Reza¹,Dehnavi Seyed Mojtaba²,Mahmoodi Rishakani Akbar³

Affiliation:

1. Faculty of Mathematical Sciences , Shahid Beheshti University , Tehran , Iran

2. Department of Mathematical and Computer Sciences , University of Kharazmi , Tehran , Iran

3. Department of Sciences , Shahid Rajaee Teacher Training University , Tehran , Iran

Abstract

Abstract MDS diffusion layers are critical components in the design of symmetric ciphers. In this paper, after introducing some new algebraic structures, we provide new MDS matrices over special types of R-modules. With the help of the proposed methodology, we have more flexibility in designing software-oriented diffusion layers. Most notably, we construct randomized and/or nonlinear MDS diffusion layers, based upon the presented theoretical results, and discuss the resistance of the presented diffusion layers against various kinds of cryptanalysis, compared with classical linear diffusion layers.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Computer Networks and Communications

Reference15 articles.

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