Paper 2007/416 Original: eprint.iacr.org/2007/416 ↗

Compression Function Design Principles Supporting Variable Output Lengths from a Single Small Function

Donghoon Chang
Mridul Nandi
Jesang Lee
Jaechul Sung
Seokhie Hong
Abstract

In this paper, we introduce new compression function design principles supporting variable output lengths (multiples of size $n$). They are based on a function or block cipher with an $n$-bit output size. In the case of the compression function with a $(t+1)n$-bit output size, in the random oracle and ideal cipher models, their maximum advantages from the perspective of collision resistance are $O(\frac{t^2q}{2^{tn}}+\frac{q^2}{2^{(t+1)n}})$. In the case of $t=1$, the advantage is near-optimal. In the case of $t>1$, the advantage is optimal.

Metadata
Available format(s)
PDF
Publication info
Preprint.
History
2008-06-18: last updated
2007-11-06: published
Short URL
https://ia.cr/2007/416
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2007/416,
      author = {Donghoon Chang and Mridul Nandi and Jesang Lee and Jaechul Sung and Seokhie Hong},
      title = {Compression Function Design Principles Supporting Variable Output Lengths from a Single Small Function},
      howpublished = {Cryptology {ePrint} Archive, Paper 2007/416},
      year = {2007},
      url = {https://eprint.iacr.org/2007/416}
}
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