Coding theory and cryptography allow secure and reliable data
transmission, which is at the heart of modern communication.
Nowadays, it is hard to find an electronic device without some code
inside. Grobner bases have emerged as the main tool in
computational algebra, permitting numerous applications, both in
theoretical contexts and in practical situations.
This book is the first book ever giving a comprehensive overview
on the application of commutative algebra to coding theory and
cryptography. For example, all important properties of
algebraic/geometric coding systems (including encoding,
construction, decoding, list decoding) are individually analysed,
reporting all significant approaches appeared in the literature.
Also, stream ciphers, PK cryptography, symmetric cryptography and
Polly Cracker systems deserve each a separate chapter, where all
the relevant literature is reported and compared. While many short
notes hint at new exciting directions, the reader will find that
all chapters fit nicely within a unified notation."
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