Information Security, Coding Theory and Related Combinatorics : Information Coding and Combinatorics.
Title:
Information Security, Coding Theory and Related Combinatorics : Information Coding and Combinatorics.
Author:
Crnkovic, D.
ISBN:
9781607506638
Personal Author:
Physical Description:
1 online resource (460 pages)
Series:
NATO Science for Peace and Security Series D: Information and Communication Security
Contents:
Title -- Preface -- Contents -- Crypto applications of combinatorialgroup theory -- Generating rooted trees of m nodes uniformly at random -- On Jacobsthal Binary Sequences -- Applications of finite geometry in coding theory and cryptography -- The arithmetic of genus two curves -- Covering arrays and hash families -- Sequences and arrays with desirable correlation properties -- Permutation decoding for codes from designs, finite geometries and graphs -- Finite Groups, Designs and Codes -- Designs, strongly regular graphs and codes constructed from some primitive groups -- Matrices for graphs, designs and codes -- Finding error-correcting codes using computers -- Quantum jump codes and related combinatorial designs -- Unbiased Hadamard matrices and bases -- Multi-structured designs and their applications -- Recent results on families of symmetric designs and non-embeddable quasi-residual designs -- Codes and modules associated with designs and t-uniform hypergraphs -- Finite geometry designs, codes, and Hamada's conjecture -- Subject Index -- Author Index.
Abstract:
This book contains papers based on the fourteen lectures presented at the NATO Advanced Study Institute 'Information Security and Related Combinatorics', held in Opatija, Croatia, May 31 - June 11, 2010. The conference was widely attended by students and junior scientists from throughout Europe and the USA. The theme addressed by these papers is combinatorial mathematics, as used in applications related to information security, cryptography and coding theory. Together they cover several topics subject to current research in the field. The volume will be of interest to mathematicians, computer scientists and engineers working in the area of digital communications, as well as to researchers and graduate students wishing to learn more about the application of combinatorial mathematics. The tutorial style of the papers makes the book particularly suitable for use as an additional text for a course in discrete mathematics or applied combinatorics. It would similarly be of value for graduate courses in applied combinatorics with a focus on coding theory and cryptography.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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