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On Equivalence with Output Sequence of Grain Model

Published: 17 March 2017 Publication History

Abstract

Grain is one of the hardware-oriented finalists of the eSTREAM. A generalized definition of all Grain-like stream ciphers is proposed in this paper, namely Grain Model. We construct equivalent sequences to the outputting and structures to the model, not only in key generation phase but also in initialization phase. A design proposal on tap selection and some particular properties, such us shift equivalence, one-to-one correspondence, et al. are also proposed.

References

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Hell, M., Johansson, T., and Meier, W. 2007. Grain - A Stream Cipher for Constrained Environments. eSTREAM-ECRYPT Stream Cipher Project. DOI= http://www.ecrypt.eu.org/ stream/p3ciphers/grain/Grain p3.pdf.
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Hell, M., Johansson, T., Maximov, A., and Meier, W. 2008. The grain family of stream ciphers. New Stream Cipher Designs: The eSTREAM Finalists (Lecture Notes in Computer Science), vol. 4986. 179--190, DOI = 10.1007/978-3-540-68351-3 14.
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Hell, M., Johansson, T., and Meier, W. 2006. A Stream Cipher Proposal: Grain-128. In IEEE International Symposium on Information Theory. DOI = 10.1109/ISIT.2006.261549.
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Agren, M., Hell, M., Johansson, T., and Meier, W. 2006. Grain-128a: A new version of Grain-128 with optional authentication. In International Journal of Wireless and Mobile Computing. vol. 5(1). 48--59. DOI = 10.1504/IJWMC.2011.044106.
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Berbain, C., Gilbert, H., and Joux, A. 2008. Algebraic and Correlation Attacks against Linearly Filtered Non Linear Feedback Shift Registers. In Selected Areas in Cryptography (New Brunswick, Canada, August 184-198, 2008). DOI = 10.1007/978-3-642-04159-4_12.
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Dubrova, E. 2009. A Transformation from the Fibonacci to the Galois NLFSRs. IEEE Transactions on Information Theory. vol.55, pp. 5263--5271.
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Wang, Z. 2007. Modern Mathematical Foundation: Algebra and Coding, the third edition (in chinese). pp. 218--260. China Higher Education Press, Beijing.

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ICCSP '17: Proceedings of the 2017 International Conference on Cryptography, Security and Privacy
March 2017
153 pages
ISBN:9781450348676
DOI:10.1145/3058060
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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  • Wuhan Univ.: Wuhan University, China

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Association for Computing Machinery

New York, NY, United States

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Published: 17 March 2017

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Author Tags

  1. Equivalence relation
  2. Grain
  3. Output sequence
  4. Structure

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