University of Kashan Mathematics Interdisciplinary Research 2538-3639 3 2 2018 12 01 An Improved Hash Function Based on the Tillich-Zémor Hash Function 81 87 64768 10.22052/mir.2018.97876.1078 EN Ahmad Gaeini Department of Mathematics, Faculty of Science, Imam Hossein Comprehensive University, Tehran, I. R. Iran Mohammad Hossein Ghaffari Department of Mathematics, Faculty of Science, Imam Hossein Comprehensive University, Tehran, I. R. Iran Zohreh Mostaghim Cryptography and Data Security Laboratory, School of Mathematics, Iran University of Science and Technology, Tehran, I. R. Iran Journal Article 2017 09 10 Using the idea behind the Tillich-Zémor hash function, we propose a new hash function. Our hash function is parallelizable and its collision resistance is implied by a hardness assumption on a mathematical problem. Also, it is secure against the known attacks. It is the most secure variant of the Tillich-Zémor hash function until now. The Tillich-Zemor hash function Cayley hash function special linear group https://mir.kashanu.ac.ir/article_64768_8e0dcee67425dfa7e0e5eb3b16640267.pdf