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Theoretical and practical tools to master matrix code design
strategy and technique
Error correcting and detecting codes are essential to improving
system reliability and have popularly been applied to computer
systems and communication systems. Coding theory has been studied
mainly using the code generator polynomials; hence, the codes are
sometimes called polynomial codes. On the other hand, the codes
designed by parity check matrices are referred to in this book as
matrix codes. This timely book focuses on the design theory for
matrix codes and their practical applications for the improvement
of system reliability. As the author effectively demonstrates,
matrix codes are far more flexible than polynomial codes, as they
are capable of expressing various types of code functions.
In contrast to other coding theory publications, this one does not
burden its readers with unnecessary polynomial algebra, but rather
focuses on the essentials needed to understand and take full
advantage of matrix code constructions and designs. Readers are
presented with a full array of theoretical and practical tools to
master the fine points of matrix code design strategy and
technique:
* Code designs are presented in relation to practical applications,
such as high-speed semiconductor memories, mass memories of disks
and tapes, logic circuits and systems, data entry systems, and
distributed storage systems
* New classes of matrix codes, such as error locating codes, spotty
byte error control codes, and unequal error control codes, are
introduced along with their applications
* A new parallel decoding algorithm of the burst error control
codes is demonstrated
In addition to the treatment of matrix codes, the author provides
readers with a general overview of the latest developments and
advances in the field of code design. Examples, figures, and
exercises are fully provided in each chapter to illustrate concepts
and engage the reader in designing actual code and solving real
problems. The matrix codes presented with practical parameter
settings will be very useful for practicing engineers and
researchers. References lead to additional material so readers can
explore advanced topics in depth.
Engineers, researchers, and designers involved in dependable system
design and code design research will find the unique focus and
perspective of this practical guide and reference helpful in
finding solutions to many key industry problems. It also can serve
as a coursebook for graduate and advanced undergraduate
students.
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