<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Notes on A Preimage-Resistant Hash Function

Department of Computer Science, Faculty of Informatics, University of Debrecen, Egyetem tér 1., HU–4032 Debrecen, HUNGARY

Tatra Mountains Mathematical Publications

{"article-title":"Notes on A Preimage-Resistant Hash Function"}

Bérczes, Folláth and Pethő constructed a preimage-resistant hash function. In this paper to investigate the avalanche criterion of this function, we will...

Notes on A Preimage-Resistant Hash Function

Published Online: Feb 01, 2013

Page range: 103 - 117

DOI: https://doi.org/10.2478/v10127-012-0041-9

Keywords
hash function, finite field, strict avalanche criterion, planar polynomial, Dembowski-Ostrom polynomial

This content is open access.

Notes on A Preimage-Resistant Hash Function

Published Online: Feb 01, 2013

Page range: 103 - 117

DOI: https://doi.org/10.2478/v10127-012-0041-9

Keywordshash function, finite field, strict avalanche criterion, planar polynomial, Dembowski-Ostrom polynomial

This content is open access.

Keywords
hash function, finite field, strict avalanche criterion, planar polynomial, Dembowski-Ostrom polynomial