Cryptology ePrint Archive: Report 2012/429

Simple construction of epsilon-biased distribution

Long Hoang Nguyen and Andrew William Roscoe

Abstract: Epsilon-biased distribution has many applications in practice, including universal hashing computation. In this paper we will improve an existing epsilon-biased distribution construction due to Alon et al. that requires to uniformly and efficiently sample irreducible polynomials of a large degree, e.g. between 80 and 160. To remove the need for such a sampling which can be computationally expensive, we will replace the irreducible polynomials by random monic polynomials of higher degree, i.e. every degree r monic polynomial whether irreducible or reducible is selected with the same probability 2^{-r}. To analyse the security of the scheme, we need to find the maximum number of degree r polynomials that divide a degree n polynomial where n > r.

Category / Keywords: foundations /

Date: received 30 Jul 2012

Contact author: Long Nguyen at cs ox ac uk

Available format(s): PDF | BibTeX Citation

Version: 20120805:142631 (All versions of this report)

Short URL: ia.cr/2012/429

Discussion forum: Show discussion | Start new discussion