Cryptology ePrint Archive: Report 2015/892

Security Against Related Randomness Attacks via Reconstructive Extractors

Kenneth G. Paterson and Jacob C. N. Schuldt and Dale L. Sibborn and Hoeteck Wee

Abstract: This paper revisits related randomness attacks against public key encryption schemes as introduced by Paterson, Schuldt and Sibborn (PKC 2014). We present a general transform achieving security for public key encryption in the related randomness setting using as input any secure public key encryption scheme in combination with an auxiliary-input reconstructive extractor. Specifically, we achieve security in the function-vector model introduced by Paterson et al., obtaining the first constructions providing CCA security in this setting. We consider instantiations of our transform using the Goldreich-Levin extractor; these outperform the previous constructions in terms of public-key size and reduction tightness, as well as enjoying CCA security. Finally, we also point out that our approach leads to an elegant construction for Correlation Input Secure hash functions, which have proven to be a versatile tool in diverse areas of cryptography.

Category / Keywords: public-key cryptography / related randomness attacks, auxiliary-inputs, reconstructive extractors, CIS hash functions

Original Publication (with minor differences): IMA Cryptography and Coding 2015

Date: received 14 Sep 2015, last revised 14 Sep 2015

Contact author: kenny paterson at rhul ac uk, jacob schuldt at aist go jp, dale sibborn 2011 at live rhul ac uk

Available format(s): PDF | BibTeX Citation

Version: 20150915:070053 (All versions of this report)

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