Paper 2006/002

Geometric constructions of optimal linear perfect hash families

S. G. Barwick and W. -A. Jackson.

Abstract

A linear (qd,q,t)-perfect hash family of size s in a vector space V of order qd over a field F of order q consists of a sequence ϕ1,,ϕs of linear functions from V to F with the following property: for all t subsets XV there exists i{1,,s} such that ϕi is injective when restricted to . A linear -perfect hash family of minimal size is said to be optimal. In this paper we use projective geometry techniques to completely determine the values of for which optimal linear -perfect hash families exist and give constructions in these cases. We also give constructions of optimal linear -perfect hash families.

Metadata
Available format(s)
PDF
Category
Applications
Publication info
Published elsewhere. Unknown where it was published
Keywords
perfect hash families
Contact author(s)
sue barwick @ adelaide edu au
History
2006-01-04: received
Short URL
https://ia.cr/2006/002
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2006/002,
      author = {S. G.  Barwick and W. -A.  Jackson.},
      title = {Geometric constructions of optimal linear perfect hash families},
      howpublished = {Cryptology {ePrint} Archive, Paper 2006/002},
      year = {2006},
      url = {https://eprint.iacr.org/2006/002}
}
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