Authentication Codes and Combinatorial Designs

A comprehensive and self-contained treatment of the subject, Authentication Codes and Combinatorial Designs covers optimal authentication codes, unconditionally secure authentication schemes, and both symmetric and asymmetric authentication codes. The book addresses an important area in cryptography, namely the authentication of codes. It ties together the notion of authentication codes and combinatorial designs and demonstrates how ideas from combinatorics can be used for cryptographic applications. The author proves the information-theoretic and combinatorial bounds and the conditions for achieving these bounds in simple, clean, and comprehensive language of mathematics.

Pei, Dingyi

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.