Elements of Algebraic Coding Systems - Valdemar C. Jr. Da Rocha - Bog

Elements of Algebraic Coding Systems is an introductory text
to algebraic coding theory. In the first chapter, you'll gain inside
knowledge of coding fundamentals, which is essential for a deeper
understanding of state-of-the-art coding systems.
This book is a quick reference for those who are unfamiliar with
this topic, as well as for use with specific applications such as cryptography
and communication. Linear error-correcting block codes
through elementary principles span eleven chapters of the text.
Cyclic codes, some finite field algebra, Goppa codes, algebraic decoding
algorithms, and applications in public-key cryptography and
secret-key cryptography are discussed, including problems and solutions
at the end of each chapter. Three appendices cover the Gilbert
bound and some related derivations, a derivation of the Mac-
Williams' identities based on the probability of undetected error,
and two important tools for algebraic decoding-namely, the finite
field Fourier transform and the Euclidean algorithm for polynomials.