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Lucks, Stefan

A Collision-Resistant Rate-1 Double-Block-Length Hash Function

07021.LucksStefan.Paper.1017.pdf (0.2 MB)


This paper proposes a construction for collision resistant
$2n$-bit hash functions, based
on $n$-bit block ciphers with $2n$-bit keys. The construction is analysed
in the ideal cipher model; for $n=128$ an adversary would need roughly
$2^{122}$ units of time to find a collision.
The construction employs ``combinatorial'' hashing
as an underlying building block (like
Universal Hashing for cryptographic
message authentication by Wegman and Carter).
The construction runs at rate~1, thus improving on a similar
rate~1/2 approach by Hirose (FSE 2006).

BibTeX - Entry

  author =	{Stefan Lucks},
  title =	{A Collision-Resistant Rate-1 Double-Block-Length Hash Function},
  booktitle =	{Symmetric Cryptography},
  year =	{2007},
  editor =	{Eli Biham and Helena Handschuh and Stefan Lucks and Vincent Rijmen},
  number =	{07021},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Internationales Begegnungs- und Forschungszentrum f{\"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{},
  annote =	{Keywords: Hash function, provable security, double-block-length}

Keywords: Hash function, provable security, double-block-length
Collection: 07021 - Symmetric Cryptography
Issue Date: 2007
Date of publication: 06.06.2007

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