Paper 2019/802

New Circuit Minimization Techniques for Smaller and Faster AES SBoxes

Alexander Maximov and Patrik Ekdahl


In this paper we consider various methods and techniques to find the smallest circuit realizing a given linear transformation on $n$ input signals and $m$ output signals, with a constraint of a maximum depth, $maxD$, of the circuit. Additional requirements may include that input signals can arrive to the circuit with different delays, and output signals may be requested to be ready at a different depth. We apply these methods and also improve previous results in order to find hardware circuits for forward, inverse, and combined AES SBoxes, and for each of them we provide the fastest and smallest combinatorial circuits. Additionally, we propose a novel technique with ``floating multiplexers'' to minimize the circuit for the combined SBox, where we have two different linear matrices (forward and inverse) combined with multiplexers. The resulting AES SBox solutions are the fastest and smallest to our knowledge.

Available format(s)
Publication info
Published by the IACR in Tches 2019
AES SBoxcircuit areacircuit depthmultiplexerslinear matrices
Contact author(s)
patrik ekdahl @ ericsson com
2019-08-09: revised
2019-07-14: received
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Creative Commons Attribution


      author = {Alexander Maximov and Patrik Ekdahl},
      title = {New Circuit Minimization Techniques for Smaller and Faster AES SBoxes},
      howpublished = {Cryptology ePrint Archive, Paper 2019/802},
      year = {2019},
      note = {\url{}},
      url = {}
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