Perfect binary arrays and difference sets
TLDR
Recursion constructions for four infinite families of two-dimensional perfect binary arrays, using only elementary methods are given, which are equivalent to a Menon difference set in an abelian group.About:
This article is published in Discrete Mathematics.The article was published on 1994-02-15 and is currently open access. It has received 11 citations till now. The article focuses on the topics: Abelian group & Binary number.read more
Citations
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Book ChapterDOI
Geometry, Combinatorial Designs and Related Structures: Difference sets: an update
TL;DR: In the last few years there has been rapid progress in the theory of difference sets as mentioned in this paper, and a survey of these fascinating new developments can be found in the introduction of this article.
Journal ArticleDOI
Two-dimensional perfect quaternary arrays
K. T. Arasu,W. de Launey +1 more
TL;DR: Two-dimensional arrays of fourth roots of unity which have all out-of-phase periodic autocorrelations equal to zero are studied, generalizing the concept of a perfect binary array and are called perfect quaternary arrays.
Journal ArticleDOI
FALP: Fast Beam Alignment in mmWave Systems With Low-Resolution Phase Shifters
TL;DR: A framework called FALP for Fast beam Alignment with Low-resolution Phase shifters, which uses an efficient set of antenna weight vectors to acquire channel measurements, and allows faster beam alignment when compared to exhaustive scan is presented.
Journal ArticleDOI
Necessary conditions for Menon difference sets
TL;DR: A necessary condition for Menon difference sets in groups of the formZ2p×Z 2p×Gq, whereGq is an abelianq-group andp, q are distinct prime numbers, will be proved and constraints on the magnitudes of p andq are given.
Posted Content
FALP: Fast beam alignment in mmWave systems with low-resolution phase shifters
TL;DR: In this paper, a framework called FALP for Fast beam alignment with low-resolution phase shifters is proposed, which uses an efficient set of antenna weight vectors to acquire channel measurements and allows faster beam alignment when compared to exhaustive scan.
References
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Book
Cyclic difference sets
TL;DR: In this paper, the authors discuss the existence questions and constructive existence tests for multipliers and constructiveness tests for difference sets of special type and families of difference sets, and their applications.
Book
Symmetric Designs: An Algebraic Approach
TL;DR: In this article, the authors present some of the algebraic techniques that have been brought to bear on the question of existence, construction and symmetry of symmetric designs, including methods inspired by algebraic theory of coding and by representation theory of finite groups.