منابع مشابه
Existence and non-existence results for strong external difference families
We consider strong external difference families (SEDFs); these are external difference families satisfying additional conditions on the patterns of external differences that occur, and were first defined in the context of classifying optimal strong algebraic manipulation detection codes. We establish new necessary conditions for the existence of (n,m, k, λ)-SEDFs; in particular giving a near-co...
متن کاملCyclotomic construction of strong external difference families in finite fields
Strong external difference family (SEDF) and its generalizations GSEDF, BGSEDF in a finite abelian group G are combinatorial designs raised by Paterson and Stinson [7] in 2016 and have applications in communication theory to construct optimal strong algebraic manipulation detection codes. In this paper we firstly present some general constructions of these combinatorial designs by using differe...
متن کاملComplete Sets of Disjoint Difference Families and their Applications
Let G be an abelian group. A collection of (G, k, λ) disjoint difference families, {F0,F1, · · · ,Fs−1}, is a complete set of disjoint difference families if ∪0≤i≤s−1∪B∈FiB form a partition of G− {0}. In this paper, several construction methods are provided for complete sets of disjoint difference families. Applications to one-factorizations of complete graphs and to cyclically resolvable cycli...
متن کاملDifference families from rings
Furino, S., Difference families from rings, Discrete Mathematics 97 (1991) 177-190. Some difference family constructions originating with Bose, Hanani and Wilson that require finite fields are modified to work in rings with unity. These ring constructions are then used to derive new classes of abelian and cyclic difference families with blocks size 4. These constructions are also used to provid...
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.
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ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2016
ISSN: 0925-1022,1573-7586
DOI: 10.1007/s10623-016-0275-7