Cryptology ePrint Archive: Report 2017/771

Post-quantum security of the sponge construction

Jan Czajkowski and Leon Groot Bruinderink and Andreas Hülsing and Christian Schaffner and Dominique Unruh

Abstract: We investigate the post-quantum security of hash functions based on the sponge construction. A crucial property for hash functions in the post-quantum setting is the collapsing property (a strengthening of collision-resistance). We show that the sponge construction is collapsing (and in consequence quantum collision-resistant) under suitable assumptions about the underlying block function. In particular, if the block function is a random function or a (non-invertible) random permutation, the sponge construction is collapsing.

Category / Keywords: Post-quantum cryptography, hash functions, Sponge construction, collapsing, collision-resistance, quantum adversaries, quantum attack

Date: received 2 Aug 2017

Contact author: authors-quantum-sponges at huelsing net

Available format(s): PDF | BibTeX Citation

Note: This work merges and supersedes IACR eprint reports 2017/282 and 2017/302.

Version: 20170813:192101 (All versions of this report)

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