International Workshop on Post-Quantum Cryptography

PQCrypto 2010: Post-Quantum Cryptography pp 165-181

Low-Reiter: Niederreiter Encryption Scheme for Embedded Microcontrollers

  • Stefan Heyse
Conference paper

DOI: 10.1007/978-3-642-12929-2_13

Volume 6061 of the book series Lecture Notes in Computer Science (LNCS)
Cite this paper as:
Heyse S. (2010) Low-Reiter: Niederreiter Encryption Scheme for Embedded Microcontrollers. In: Sendrier N. (eds) Post-Quantum Cryptography. PQCrypto 2010. Lecture Notes in Computer Science, vol 6061. Springer, Berlin, Heidelberg

Abstract

Most modern security systems rely on public-key schemes based either on the factorization or the discrete logarithm problem. Since both problems are known to be closely related, a major breakthrough in cryptanalysis affecting one of those problems could render a large set of cryptosystems completely useless. Coding based public-key schemes are based on the alternative security assumption that decoding unknown linear binary codes is NP-complete. There exist two basic schemes of this type, namely McEliece and the Niederreiter variant, whereas the security of both schemes are equivalent. The latter has the advantage of smaller public keys, but the disadvantage of a computationally expensive mapping, which slows down encryption and decryption.

In this work, we investigate the efficient implementation of the Niederreiter scheme on very constrained micro controllers. We adopt existing algorithms to the limited abilities of the target platform and finally compare the implementation to widely used schemes and also to other alternative public schemes.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Stefan Heyse
    • 1
  1. 1.Horst Görtz Institute for IT SecurityRuhr University BochumBochumGermany