Inv mix column decomposition and multilevel resource sharing in AES implementations

  • Authors:
  • Viktor Fischer;Miloš Drutarovský;Paweł Chodowiec;François Gramain

  • Affiliations:
  • Laboratoire Traitement du Signal et Instrumentation, Université Jean Monnet, France;Department of Electronics and Multimedia Communications, Technical University of Košice, Košice, Slovak Republic;Department of Electrical and Computer Engineering, George Mason University, Fairfax, VA;Laboratoire d'Arithmétique et Algèbre, Faculté des Sciences, Université Jean Monnet, France

  • Venue:
  • IEEE Transactions on Very Large Scale Integration (VLSI) Systems
  • Year:
  • 2005

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Abstract

Hardware implementations of cryptography face increasingly more stringent demands for lower cost and greater computational power. In order to meet those demands,mor e efficient approaches to implementations are needed. This paper presents detailed studies of MixColumn and InvMixColumn operations used in Advanced Encryption Standard with aim at their hardware implementations in constrained environments. Our studies are supported by mathematical analysis of both transformations and lead to efficient serial and parallel decompositions. Furthermore, deeper resource sharing is demonstrated at word-,byte- and bit-level. All derived architectures are evaluated using popular low-cost field-programmable gate arrays. Application of proposed methods resulted in reduction of reconfigurable logic area of the complete cipher by up to 20%.