Authentication Codes and Combinatorial Designs: 1st Edition (Hardback) book cover

Authentication Codes and Combinatorial Designs

1st Edition

By Dingyi Pei

Chapman and Hall/CRC

256 pages

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Description

Researchers and practitioners of cryptography and information security are constantly challenged to respond to new attacks and threats to information systems. Authentication Codes and Combinatorial Designs presents new findings and original work on perfect authentication codes characterized in terms of combinatorial designs, namely strong partially balanced designs (SPBD).

Beginning with examples illustrating the concepts of authentication schemes and combinatorial designs, the book considers the probability of successful deceptions followed by schemes involving three and four participants, respectively. From this point, the author constructs the perfect authentication schemes and explores encoding rules for such schemes in some special cases.

Using rational normal curves in projective spaces over finite fields, the author constructs a new family of SPBD. He then presents some established combinatorial designs that can be used to construct perfect schemes, such as t-designs, orthogonal arrays of index unity, and designs constructed by finite geometry. The book concludes by studying definitions of perfect secrecy, properties of perfectly secure schemes, and constructions of perfect secrecy schemes with and without authentication.

Supplying an appendix of construction schemes for authentication and secrecy schemes, Authentication Codes and Combinatorial Designs points to new applications of combinatorial designs in cryptography.

Table of Contents

Introduction. Authentication Schemes. Authentication Schemes with Three Participants. Authentication Schemes with Arbitration. A-Codes Based on Rational Normal Curves. t-Deisgns. Orthogonal Arrays of Index Unity. A-Codes from Finite Geometries. Authentication/Secrecy Schemes. Appendix A: A Survey of Constructions for A-Codes. References. Notations. Index.

About the Author

Pei, Dingyi

About the Series

Discrete Mathematics and Its Applications

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Subject Categories

BISAC Subject Codes/Headings:
COM053000
COMPUTERS / Security / General
MAT000000
MATHEMATICS / General
MAT036000
MATHEMATICS / Combinatorics
TEC007000
TECHNOLOGY & ENGINEERING / Electrical