An introduction to the theory of error-correction codes, and in particular to linear block codes is provided in this book. It considers such codes as Hamming codes and Golay codes, correction of double errors, use of finite fields, cyclic codes, BCH codes and weight distributions, as well as design of codes. In this second edition, the author includes more material on non-binary code and cyclic codes. In addition some proofs have been simplified and there are many more examples and problems. The text has been aimed at mathematicians, electrical engineers and computer scientists.
Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication ...
Digraph Representation of the Four Properties “ R is reflexive ” means that every vertex in the digraph for R has an edge from the vertex to itself . See Figure 2.2.4 ( a ) . Xe у X y х Z ( a ) ( b ) ( c ) FIGURE 2.2.4 х у “ R is ...
Relational databases have quickly come to be regarded as a natural and efficient way of organizing information. Duplicate data can be eliminated and powerful set-theoretic operations can be used to...
Summarizing is the process of reducing the large volume of information in something like a novel or a scientific paper to a short summary or abstract comprising only the most...
Most of the papers in this volume were first presented at the Workshop on Cross-Linguistic Information Retrieval that was held August 22, 1996 dur ing the SIGIR'96 Conference. Alan Smeaton...
Quantum Information Processing is a young and rapidly growing field of research at the intersection of physics, mathematics, and computer science. Its ultimate goal is to harness quantum physics to...
Error-correcting Coding Theory
Codes, Kodierung (Telegrafie) ; Kodierung, Datendarstellung, Bit, Byte (EDV).
This introductory text on error control coding focuses on key implementation issues and performance analysis with applications valuable to both mathematicians and engineers. It features discussion of punctured convolutional codes;...
"In 1948 Claude Shannon published the paper that single-handedly started the field of information theory, ""The Mathematical Theory of Communication."" This groundbreaking paper laid the foundation for virtually all aspects...