New Zémor-Tillich Type Hash Functions Over GL2 (𝔽pn)

We present a large class of new Zémor-Tillich type hash functions whose target space is the finite group GL2(𝔽pn) for any prime p and power n. To do so, we use a novel group-theoretic approach that uses Tits’ “Ping-Pong Lemma” to outline conditions under which a set of matrices in PGL2(𝔽p((x))) gene...

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Bibliographic Details
Main Authors: Tomkins Hayley, Nevins Monica, Salmasian Hadi
Format: Article
Language:English
Published: De Gruyter 2020-08-01
Series:Journal of Mathematical Cryptology
Subjects:
Online Access:https://doi.org/10.1515/jmc-2019-0033