Abstract
This works studies the use of the AES block-cipher for Picnic-style signatures, which work in the multiparty-computation-in-the-head model. It applies advancements to arithmetic circuits for the computation of the AES S-box over multiparty computation in the preprocessing model to obtain an improvement of signature sizes of 40% on average compared to using binary circuits for AES-128, AES-192 and AES-256 in combination with previous techniques. This work also discusses other methods for the computation of the S-box and provides insights into the reaches and limits of the multiparty-computation-in-the-head paradigm.
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References
Albrecht, M.R., Rechberger, C., Schneider, T., Tiessen, T., Zohner, M.: Ciphers for MPC and FHE. In: Oswald, E., Fischlin, M. (eds.) EUROCRYPT 2015. LNCS, vol. 9056, pp. 430–454. Springer, Heidelberg (2015). https://doi.org/10.1007/978-3-662-46800-5_17
Ames, S., Hazay, C., Ishai, Y., Venkitasubramaniam, M.: Ligero: Lightweight sublinear arguments without a trusted setup. In: Thuraisingham et al. [21], pp. 2087–2104
Beaver, D.: Efficient multiparty protocols using circuit randomization. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 420–432. Springer, Heidelberg (1992). https://doi.org/10.1007/3-540-46766-1_34
Bendlin, R., Damgård, I., Orlandi, C., Zakarias, S.: Semi-homomorphic encryption and multiparty computation. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol. 6632, pp. 169–188. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-20465-4_11
Biham, E., Shamir, A.: Differential fault analysis of secret key cryptosystems. In: Kaliski, B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 513–525. Springer, Heidelberg (1997). https://doi.org/10.1007/BFb0052259
Boyar, J., Matthews, P., Peralta, R.: Logic minimization techniques with applications to cryptology. J. Cryptol. 26(2), 280–312 (2013)
Chase, M., et al.: The picnic signature algorithm: specification version 2.1 (2019). https://github.com/Microsoft/Picnic/blob/master/spec/spec-v2.1.pdf. Accessed 3 May 2019
Chase, M., et al.: The picnic signature scheme (2019). https://microsoft.github.io/Picnic/. Submission to NIST Post-Quantum Cryptography project
Chase, M., et al.: Post-quantum zero-knowledge and signatures from symmetric-key primitives. In: Thuraisingham et al. [21], pp. 1825–1842
Daemen, J., Rijmen, V.: AES proposal: rijndael (1999). https://web.archive.org/web/20070203204845/csrc.nist.gov/CryptoToolkit/aes/rijndael/Rijndael.pdf. Accessed 3 May 2019
Damgård, I., Geisler, M., Krøigaard, M., Nielsen, J.B.: Asynchronous multiparty computation: theory and implementation. In: Jarecki, S., Tsudik, G. (eds.) PKC 2009. LNCS, vol. 5443, pp. 160–179. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-00468-1_10
Damgård, I., Keller, M.: Secure multiparty AES. In: Sion, R. (ed.) FC 2010. LNCS, vol. 6052, pp. 367–374. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-14577-3_31
Damgård, I., Keller, M., Larraia, E., Miles, C., Smart, N.P.: Implementing AES via an actively/covertly secure dishonest-majority MPC protocol. In: Visconti, I., De Prisco, R. (eds.) SCN 2012. LNCS, vol. 7485, pp. 241–263. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-32928-9_14
Damgård, I., Pastro, V., Smart, N., Zakarias, S.: Multiparty computation from somewhat homomorphic encryption. In: Safavi-Naini, R., Canetti, R. (eds.) CRYPTO 2012. LNCS, vol. 7417, pp. 643–662. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-32009-5_38
Fiat, A., Shamir, A.: How to prove yourself: practical solutions to identification and signature problems. In: Odlyzko, A.M. (ed.) CRYPTO 1986. LNCS, vol. 263, pp. 186–194. Springer, Heidelberg (1987). https://doi.org/10.1007/3-540-47721-7_12
Giacomelli, I., Madsen, J., Orlandi, C.: ZKBoo: faster zero-knowledge for boolean circuits. In: Holz, T., Savage, S. (eds.) USENIX Security 2016, pp. 1069–1083. USENIX Association, Austin, 10–12 August 2016
Ishai, Y., Kushilevitz, E., Ostrovsky, R., Sahai, A.: Zero-knowledge from secure multiparty computation. In: Johnson, D.S., Feige, U. (eds.) 39th ACM STOC, pp. 21–30. ACM Press, San Diego, 11–13 June 2007
Katz, J., Kolesnikov, V., Wang, X.: Improved non-interactive zero knowledge with applications to post-quantum signatures. In: Lie, D., Mannan, M., Backes, M., Wang, X. (eds.) ACM CCS 2018, pp. 525–537. ACM Press, Toronto, 15–19 October 2018
Keller, M., Orsini, E., Rotaru, D., Scholl, P., Soria-Vazquez, E., Vivek, S.: Faster secure multi-party computation of AES and DES using lookup tables. In: Gollmann, D., Miyaji, A., Kikuchi, H. (eds.) ACNS 2017. LNCS, vol. 10355, pp. 229–249. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-61204-1_12
National Insitute of Standards and Technology: Post-Quantum Cryptography project (2016). https://csrc.nist.gov/projects/post-quantum-cryptography. Accessed 3 May 2019
Thuraisingham, B.M., Evans, D., Malkin, T., Xu, D. (eds.): ACM CCS 2017. ACM Press, Dallas, 31 October– 2 November 2017
Acknowledgments
The authors would like to thank the referees for a number of comments which improved the quality of the paper. This work has been supported in part by ERC Advanced Grant ERC-2015-AdG-IMPaCT, by the Defense Advanced Research Projects Agency (DARPA) and Space and Naval Warfare Systems Center, Pacific (SSC Pacific) under contract No. N66001-15-C-4070, and by the Fund for Scientific Research Flanders (FWO) under an Odysseus project GOH9718N. Lauren De Meyer is funded by a PhD fellowship of the FWO. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the ERC, United States Air Force, DARPA or FWO.
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de Saint Guilhem, C.D., De Meyer, L., Orsini, E., Smart, N.P. (2020). BBQ: Using AES in Picnic Signatures. In: Paterson, K., Stebila, D. (eds) Selected Areas in Cryptography – SAC 2019. SAC 2019. Lecture Notes in Computer Science(), vol 11959. Springer, Cham. https://doi.org/10.1007/978-3-030-38471-5_27
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