This book explains the following topics: Linear Codes, Probability
as Fancy Counting and the q-ary Entropy Function, Combinatorics, The Greatest
Code of Them All: Reed-Solomon Codes, What Happens When the Noise is Stochastic:
Shannon's Theorem, Bridging the Gap Between Shannon and Hamming: List Decoding,
Code Constructions, Code Concatenation, Algorithms, Decoding Concatenated Codes,
Efficiently Achieving the Capacity of the BSCp, Efficient Decoding of
Reed-Solomon Codes, Efficiently Achieving List Decoding Capacity, Applications.
Author(s): Venkatesan Guruswami, Atri Rudra and Madhu
Sudan
Kenneth Leroy Busbee and Dave Braunschweig's Programming
Fundamentals is a book that offered readers a more solid foundation in
programming concepts. The text covers the basic elements of programming systems:
from data types to the operators and the functions, to control structures
including the conditions and the loops, advanced elements such as arrays and
strings processing files among others. The book focuses on object-oriented
programming and brings out classes and objects. This material is widely used by
students looking to develop a solid foundation of programming principles and
practices-a growing emphasis on practical application and theoretical
knowledge.
Author(s): Kenneth Leroy Busbee, Dave
Braunschweig
This book is meant for
undergraduate students who wish to obtain a basic knowledge in coding theory
based on the subject of linear codes. It begins with introductory chapters based
on Shannon theory and relevant to coding, then advances to detailed discussions
about decoding linear codes and the MacWilliams identity. Besides these, the
construction of new codes and the attainment of bounds on code performance are
subjects of discussion, and thus Reed-Muller codes prove very significant in
this light. This book is an exposition of the practical coding theory applied in
many fields: telecommunications to data storage. It focuses on fast decoding
techniques and higher-order RM codes.