Abstract
The Keccak permutation function constitutes the essential part of the computations in the SHA-3 (Secure Hash Algorithm-3) standard. Its fast implementation in hardware is crucial for efficient operation of many contemporary ICT systems which commonly apply hashing e.g. in data storage and transmission or in security protection. This paper analyzes potential improvements in computation speed of the function if its hardware implementation uses a pipelined organization where the single Keccak round is divided into two or three pipeline stages. The discussion starts with examination of various options for such pipelining and then the proposed architectures are implemented in a Spartan-7 FPGA device from Xilinx. Estimations of their maximum frequencies of operation illustrate speed gains (in terms of total throughput) which can be accomplished by the increased parallelization achieved through fine-grained pipelining. The results indicate that after careful tuning of the overall control framework the complete module calculating the 1600-bit permutation can operate at frequencies exceeding 500 MHz even in a device from this economy-grade FPGA family.
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Athanasiou, G.S., Makkas, G., Theodoridis, G.: High throughput pipelined FPGA implementation of the new SHA-3 cryptographic hash algorithm. In: 2014 6th International Symposium on Communications, Control and Signal Processing (ISCCSP), Athens, pp. 538–541 (2014)
Bertoni, G., Daemen, J., Peeters, M., Van Assche, G.: The Keccak reference. PDF file. http://keccak.noekeon.org. Accessed March 2020
Bertoni, G., Daemen, J., Peeters, M., Van Assche G.: The Keccak sponge function family. http://keccak.noekeon.org. Accessed March 2020
Gaj, K., Homsirikamol, E., Rogawski, M., Shahid, R., Sharif, M.U.: Comprehensive evaluation of high-speed and medium-speed implementations of five SHA-3 finalists using Xilinx and Altera FPGAs. In: The Third SHA-3 Candidate Conference. Available: IACR Cryptology ePrint Archive, 2012, p. 368 (2012)
Gaj, K., Kaps, J.P., Amirineni, V., Rogawski, M., Homsirikamol, E., Brewster B.Y.: ATHENa – automated tool for hardware EvaluatioN: toward fair and comprehensive benchmarking of cryptographic hardware using FPGAs. In: 20th International Conference on Field Programmable Logic and Applications, Milano, Italy (2010)
George Mason University: ATHENa - Automated Tools for Hardware EvaluatioN. http://cryptography.gmu.edu/athena. Accessed March 2020
Ioannou, L., Michail, H.E., Voyiatzis, A. G.: High performance pipelined FPGA implementation of the SHA-3 hash algorithm. In: 4th Mediterranean Conference on Embedded Computing (MECO), Budva, pp. 68–71 (2015)
National Institute of Standards and Technology: SHA-3 Standard: Permutation-Based Hash and Extendable-Output Functions. http://dx.doi.org/10.6028/NIST.FIPS.202. Accessed March 2020
Pereira, F., Ordonez, E., Sakai, I., Souza, A.: Exploiting parallelism on Keccak: FPGA and GPU comparison. Parallel Cloud Comput. 2(1), 1–6 (2013)
Sugier, J.: Efficiency of Spartan-7 FPGA devices in implementation of contemporary cryptographic algorithms. J. Pol. Saf. Reliab. Assoc. 9(3), 75–84 (2018)
Sugier, J.: Low cost FPGA devices in high speed implementations of Keccak-f hash algorithm. In: Zamojski, W., Mazurkiewicz, J., Sugier, J., Walkowiak, T., Kacprzyk, J. (eds.) Proceedings of the Ninth International Conference on Dependability and Complex Systems DepCoS-RELCOMEX. Advances in Intelligent Systems and Computing, Brunów, Poland, 30 June–4 July 2014, vol. 286. Springer, Cham (2014)
Sugier, J.: Optimizing the pipelined DES cracker implemented in contemporary popular-grade FPGA devices. In: Kabashkin, I., et al. (eds.): RelStat 2019, LNNS 117 (to be published)
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Sugier, J. (2020). Intra-round Pipelining of Keccak Permutation Function in FPGA Implementations. In: Zamojski, W., Mazurkiewicz, J., Sugier, J., Walkowiak, T., Kacprzyk, J. (eds) Theory and Applications of Dependable Computer Systems. DepCoS-RELCOMEX 2020. Advances in Intelligent Systems and Computing, vol 1173. Springer, Cham. https://doi.org/10.1007/978-3-030-48256-5_59
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DOI: https://doi.org/10.1007/978-3-030-48256-5_59
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