caa a22 4500 606148914 CHVBK 20210128100531.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s00145-013-9163-8 doi (NATIONALLICENCE)springer-10.1007/s00145-013-9163-8 Efficient Recursive Diffusion Layers for Block Ciphers and Hash Functions [Elektronische Daten] [Mahdi Sajadieh, Mohammad Dakhilalian, Hamid Mala, Pouyan Sepehrdad] Many modern block ciphers use maximum distance separable (MDS) matrices as the main part of their diffusion layers. In this paper, we propose a very efficient new class of diffusion layers constructed from several rounds of Feistel-like structures whose round functions are linear. We investigate the requirements of the underlying linear functions to achieve the maximal branch number for the proposed 4×4 words diffusion layer, which is an indication of the highest level of security with respect to linear and differential attacks. We try to extend our results for up to 8×8 words diffusion layers. The proposed diffusion layers only require simple operations such as word-level XORs, rotations, and they have simple inverses. They can replace the diffusion layer of several block ciphers and hash functions in the literature to increase their security, and performance. Furthermore, it can be deployed in the design of new efficient lightweight block ciphers and hash functions in future. International Association for Cryptologic Research, 2013 Block ciphers nationallicence Diffusion layer nationallicence Branch number nationallicence MDS matrix nationallicence Sajadieh Mahdi Department of Electrical Engineering, Khorasgan (Isfahan) Branch, Islamic Azad University, Isfahan, Iran aut Dakhilalian Mohammad Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran aut Mala Hamid Department of Information Technology Engineering, University of Isfahan, Isfahan, Iran aut Sepehrdad Pouyan EPFL, Lausanne, Switzerland aut Journal of Cryptology Springer US; http://www.springer-ny.com 28/2(2015-04-01), 240-256 0933-2790 28:2<240 2015 28 145 https://doi.org/10.1007/s00145-013-9163-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00145-013-9163-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sajadieh Mahdi Department of Electrical Engineering, Khorasgan (Isfahan) Branch, Islamic Azad University, Isfahan, Iran aut NATIONALLICENCE 700 1- Dakhilalian Mohammad Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran aut NATIONALLICENCE 700 1- Mala Hamid Department of Information Technology Engineering, University of Isfahan, Isfahan, Iran aut NATIONALLICENCE 700 1- Sepehrdad Pouyan EPFL, Lausanne, Switzerland aut NATIONALLICENCE 773 0- Journal of Cryptology Springer US; http://www.springer-ny.com 28/2(2015-04-01), 240-256 0933-2790 28:2<240 2015 28 145