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Collision-Resistant and Pseudorandom Function Based on Merkle-Damgård Hash Function

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Information Security and Cryptology – ICISC 2021 (ICISC 2021)

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Abstract

This paper presents a keyed hash function satisfying collision resistance and the pseudorandom-function (PRF) property. It is based on the Merkle-Damgård hash function. It is shown to satisfy collision resistance under the ideal assumption that the underlying compression function is a random oracle. It is also shown to be a secure PRF if the underlying compression function is a secure PRF against related-key attacks in two keying strategies. The novel feature of the proposed keyed hash function is its efficiency. It achieves the minimum number of calls to the underlying compression function for any message input. Namely, constructed with the compression function accepting a \(w\)-bit message block, it processes any \(l(\ge 0)\)-bit massage with \(\max \{1,\lceil l/w\rceil \}\) calls to the compression function. Thus, it is more efficient than the standardized keyed hash function HMAC, which also satisfies both collision resistance and the PRF property, especially for short messages. The proposed keyed hash function, as well as HMAC, can be instantiated with the SHA-256 compression function.

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Acknowledgements

This work was supported by JSPS KAKENHI Grant Number JP21K11885.

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Authors and Affiliations

  1. University of Fukui, Fukui, Japan

    Shoichi Hirose

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  1. Shoichi Hirose
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Correspondence to Shoichi Hirose .

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Editors and Affiliations

  1. Sangmyung Universirsity, Seoul, Korea (Republic of)

    Jong Hwan Park

  2. Hanyang University, Ansan, Korea (Republic of)

    Seung-Hyun Seo

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Hirose, S. (2022). Collision-Resistant and Pseudorandom Function Based on Merkle-Damgård Hash Function. In: Park, J.H., Seo, SH. (eds) Information Security and Cryptology – ICISC 2021. ICISC 2021. Lecture Notes in Computer Science, vol 13218. Springer, Cham. https://doi.org/10.1007/978-3-031-08896-4_17

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  • DOI: https://doi.org/10.1007/978-3-031-08896-4_17

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  • Online ISBN: 978-3-031-08896-4

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