Recursive constructions of secure codes and hash families using difference function families
نویسندگان
چکیده
منابع مشابه
Some Recursive Constructions for Perfect Hash Families
An (n; m; w)-perfect hash family is a set of functions F such that there exists at least one f 2 F such that fj X is one-to-one. Perfect hash families have been extensively studied by computer scientists for over 15 years, mainly from the point of view of constructing eecient algorithms. In this paper, we study perfect hash families from a com-binatorial viewpoint, and describe some new recursi...
متن کاملConstructions of partitioned difference families
Partitioned difference families (PDFs) arise from constructions of optimum constant composition codes. In this paper, a number of infinite classes of PDFs are constructed, based on known cyclotomic difference families in GF(q). A general approach which obtains PDFs from difference packings and coverings in abelian group is also presented. c © 2007 Elsevier Ltd. All rights reserved.
متن کاملSix Constructions of Difference Families
In this paper, six constructions of difference families are presented. These constructions make use of difference sets, almost difference sets and disjoint difference families, and give new point of views of relationships among these combinatorial objects. Most of the constructions work for all finite groups. Though these constructions look simple, they produce many difference families with new...
متن کاملExplicit constructions for perfect hash families
Let k, v, t be integers such that k ≥ v ≥ t ≥ 2. A perfect hash family PHF(N ; k, v, t) can be defined as an N × k array with entries from a set of v symbols such that every N× t subarray contains at least one row having distinct symbols. Perfect hash families have been studied by over 20 years and they find a wide range of applications in computer sciences and in cryptography. In this paper we...
متن کاملNew Constructions for Perfect Hash Families andRelated Structures using Combinatorial
In this paper, we consider explicit constructions of perfect hash families using combi-natorial methods. We provide several direct constructions from combinatorial structures related to orthogonal arrays. We also simplify and generalize a recursive construction due to Atici, Magliversas, Stinson and Wei 3]. Using similar methods, we also obtain eecient constructions for separating hash families...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2006
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2005.07.001