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Notes on A Preimage-Resistant Hash Function Cover

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Notes on A Preimage-Resistant Hash Function

Tatra Mountains Mathematical Publications

Volume 53 (2012): Issue 1 (December 2012)

By: János Folláth

Open Access

|Feb 2013

Abstract

Bérczes, Folláth and Pethő constructed a preimage-resistant hash function. In this paper to investigate the avalanche criterion of this function, we will generalize the results of Coulter and Mathews regarding planar polynomials. At the same time a necessary and sufficient condition for being planar is given for Dembowski-Ostrom monomials. In the even characteristic case both a weaker asymptotic statement and practical test results are presented regarding the avalanche criterion.

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Articles in this issue

DOI: https://doi.org/10.2478/v10127-012-0041-9 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 103 - 117

Published on: Feb 1, 2013

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

strict avalanche criterion,

planar polynomial,

Dembowski-Ostrom polynomial

Related subjects:

General mathematics

© 2013 János Folláth, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 53 (2012): Issue 1 (December 2012)

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