Abstract
To improve the decapsulation efficiency of HK09 (proposed by Hofheinz and Kiltz in Eurocrypt 2009), we propose a new skill to remove the exponent GCD operation. In the proposed scheme, the decapsulation efficiency is improved by 38.9% (instantiated over the semi-smooth subgroup) and the efficiency of encapsulation is dropped by 5.7%.
Supported by the National Basic Research Program of China (973 project)(No.2013CB338002), the National Nature Science Foundation of China (No.61070171, No.61272534), the Strategic Priority Research Program of Chinese Academy of Sciences under Grant XDA06010702, IIE’s Cryptography Research Project (No.Y3Z0024103, Y3Z0027103).
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Lu, X., Li, B., Liu, Y. (2013). How to Remove the Exponent GCD in HK09. In: Susilo, W., Reyhanitabar, R. (eds) Provable Security. ProvSec 2013. Lecture Notes in Computer Science, vol 8209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41227-1_14
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DOI: https://doi.org/10.1007/978-3-642-41227-1_14
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