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Blockcipher-Based Double-Length Hash Functions for Pseudorandom Oracles

Authors: Yusuke Naito 0001;

Blockcipher-Based Double-Length Hash Functions for Pseudorandom Oracles

Abstract

PRO (Pseudorandom Oracle) is an important security of hash functions because it ensures that the PRO hash function inherits all properties of a random oracle in single stage games up to the PRO bound (e.g., collision resistant security, preimage resistant security and so on). In this paper, we propose new blockcipher-based double-length hash functions, which are PROs up to $\mathcal{O}(2^n)$ query complexity in the ideal cipher model. Our hash functions use a single blockcipher, which encrypts an n-bit string using a 2n-bit key, and maps an input of arbitrary length to an n-bit output. Since many blockciphers supports a 2n-bit key (e.g. AES supports a 256-bit key), the assumption to use the 2n-bit key length blockcipher is acceptable. To our knowledge, this is the first time double-length hash functions based on a single (practical size) blockcipher with birthday PRO security.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
bronze