Handbook of Codes and Sequences with Applications in Communication, Computing and Information Security Discrete Mathematics and Its Applications Series

This handbook provides a comprehensive survey of codes and sequences, ranging from mathematical foundations to applications in various areas and bridging the gap between theory and practice. Each chapter contains the contributions of leading researchers in the field.

BACKGROUND MATERIAL. Mathematical Background. Computational Background. Probabilistic background. CODES. Information Theory and Applications to Digital Communications and Cryptography. Block Codes, Cyclic Codes, and Decoding Algorithms. Convolutional Codes and the Viterbi Algorithm. Codes from Algebraic Curves. Codes and Signals for OFDM and Multi-code CDMA. Coding for Data Storage. SEQUENCES. Introduction to Pseudorandom Sequences and Mathematical Properties. Sequences with Good Correlation and Their Applications. Sequences, Exponential Sums, Uniform Distribution, and Applications. Sequences and Randomness. CRYPTOGRAPHY. Introduction to Cryptographic Mathematics. Sequences and Stream Ciphers. Sequences, Boolean functions, and Cryptography. CONNECTIONS. MDS Codes, Designs, Orthogonal Arrays, and Distributed Cryptographic Applications. Elliptic Curves and Public Key Cryptography. Groups, Semifields, Cocycles, and Generalized Nonlinearity with Links to Cryptography.