Abstract
We present collusion attacks against a recently proposed IBE scheme of Chen et al. from ASIACCS 2010. The attacks recover the master secret key of the scheme and thereby invalidate the existing security analysis of this scheme. The attacks are flexible, allowing, for example, the amount of computation needed to be traded-off against the size of the collusion.
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References
Alon, N., Spencer, J.H.: The probabilistic method. John Wiley & Sons (1992)
Ars, G., Faugère, J.-C., Imai, H., Kawazoe, M., Sugita, M.: Comparison Between XL and Gröbner Basis Algorithms. In: Lee, P.J. (ed.) ASIACRYPT 2004. LNCS, vol. 3329, pp. 338–353. Springer, Heidelberg (2004)
Bardet, M., Faugère, J., Salvy, B.: On the complexity of Gröbner basis computation of semi-regular overdetermined algebraic equations. In: Proceedings of the International Conference on Polynomial System Solving, pp. 71–74 (2004)
Bosma, W., Cannon, J., Playoust, C.: The MAGMA Algebra System I: The User Language. Journal of Symbolic Computation 24, 235–265 (1997)
Chen, Y., Charlemagne, M., Guan, Z., Hu, J., Chen, Z.: Identity-based encryption based on DHIES. In: Feng, D., Basin, D.A., Liu, P. (eds.) Proceedings of the 5th ACM Symposium on Information, Computer and Communications Security, ASIACCS 2010, pp. 82–88. ACM (2010)
Cox, D., Little, J., O’Shea, D.: Ideals, Varieties, and Algorithms, 3rd edn. Springer, Heidelberg (2007)
Faugère, J.-C.: A New Efficient Algorithm for Computing Gröbner Bases (F4). Journal of Pure and Applied Algebra 139(1-3), 61–88 (1999)
Faugère, J.-C.: A New Efficient Algorithm for Computing Gröbner Bases without Reduction to Zero (F5). In: Proceedings of the 2002 International Symposium on Symbolic and Algebraic Computation, pp. 75–83. ACM (2002)
Lazard, D.: Gröbner-Bases, Gaussian Elimination and Resolution of Systems of Algebraic Equations. In: van Hulzen, J.A. (ed.) ISSAC 1983 and EUROCAL 1983. LNCS, vol. 162, pp. 146–156. Springer, Heidelberg (1983)
Susilo, W., Baek, J.: On the Security of the Identity-based Encryption based on DHIES from ASIACCS 2010 (short paper). In: Proceedings of the 6th ACM Symposium on Information, Computer and Communications Security, ASIACCS 2011. ACM (2011)
Stein, W., et al.: Sage Mathematics Software. Version 4.6.0 (2010)
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Albrecht, M.R., Paterson, K.G. (2011). Breaking an Identity-Based Encryption Scheme Based on DHIES. In: Chen, L. (eds) Cryptography and Coding. IMACC 2011. Lecture Notes in Computer Science, vol 7089. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25516-8_21
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DOI: https://doi.org/10.1007/978-3-642-25516-8_21
Publisher Name: Springer, Berlin, Heidelberg
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