Candidate One-Way Functions and One-Way Permutations Based on Quasigroup String Transformations

Danilo Gligoroski

Paper 2005/352

Candidate One-Way Functions and One-Way Permutations Based on Quasigroup String Transformations

Danilo Gligoroski

Abstract

In this paper we propose a definition and construction of a new family of one-way candidate functions , where is an alphabet with elements. Special instances of these functions can have the additional property to be permutations (i.e. one-way permutations). These one-way functions have the property that for achieving the security level of computations in order to invert them, only bits of input are needed. The construction is based on quasigroup string transformations. Since quasigroups in general do not have algebraic properties such as associativity, commutativity, neutral elements, inverting these functions seems to require exponentially many readings from the lookup table that defines them (a Latin Square) in order to check the satisfiability for the initial conditions, thus making them natural candidates for one-way functions.

Metadata

Available format(s): PDF PS
Category: Foundations
Publication info: Published elsewhere. Submitted to Conference
Keywords: one-way functions one-way permutations quasigroup string transformations
Contact author(s): gligoroski @ yahoo com
History: 2005-10-09: received
Short URL: https://ia.cr/2005/352
License: CC BY

BibTeX

@misc{cryptoeprint:2005/352,
      author = {Danilo Gligoroski},
      title = {Candidate One-Way Functions and One-Way Permutations Based on Quasigroup String Transformations},
      howpublished = {Cryptology {ePrint} Archive, Paper 2005/352},
      year = {2005},
      url = {https://eprint.iacr.org/2005/352}
}