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https://hdl.handle.net/10316/101225
Title: | The circulant hash revisited | Authors: | Araújo, Filipe Neves, Samuel |
Keywords: | circulant hash; almost universal hash; data-dependent rotation | Issue Date: | 2020 | Serial title, monograph or event: | Journal of Mathematical Cryptology | Volume: | 15 | Issue: | 1 | Abstract: | At ProvSec 2013, Minematsu presented the circulant hash, an almost-xor universal hash using only the xor and rotation operations. The circulant hash is a variant of Carter and Wegman’s H3 hash as well as Krawczyk’s Toeplitz hash, both of which are hashes based on matrix-vector multiplication over F2. In this paper we revisit the circulant hash and reinterpret it as a multiplication in the polynomial ring F2[x]/(xn + 1). This leads to simpler proofs, faster implementations in modern computer chips, and newer variants with practical implementation advantages. | URI: | https://hdl.handle.net/10316/101225 | ISSN: | 1862-2984 | DOI: | 10.1515/jmc-2018-0054 | Rights: | openAccess |
Appears in Collections: | I&D CISUC - Artigos em Revistas Internacionais |
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The-circulant-hash-revisitedJournal-of-Mathematical-Cryptology.pdf | 110.64 kB | Adobe PDF | View/Open |
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