This book provides thorough coverage of error correcting techniques. It includes essential basic concepts and the latest advances on key topics in design, implementation, and optimization of hardware/software systems for error correction. The book’s chapters are written by internationally recognized experts in this field. Topics include evolution of error correction techniques, industrial user needs, architectures, and design approaches for the most advanced error correcting codes (Polar Codes, Non-Binary LDPC, Product Codes, etc). This book provides access to recent results, and is suitable for graduate students and researchers of mathematics, computer science, and engineering. • Examines how to optimize the architecture of hardware design for error correcting codes; • Presents error correction codes from theory to optimized architecture for the current and the next generation standards; • Provides coverage of industrial user needs advanced error correcting techniques. Advanced Hardware Design for Error Correcting Codes includes a foreword by Claude Berrou.

Most error-correcting coding systems now use special-purpose hardware machines. The alternate method, using a general-purpose computer to perform encoding and decoding, has several advantages over the use of special hardware. Hardware equipment designed specifically for a coding system can be expensive, especially if the decoding is difficult, and if only a few systems are to be built. Minicomputers, however, are easily available and can be used throughout communications systems. To compare various coding systems in software, programs to perform encoding and decoding were written in assembly language for a PDP-11/40 minicomputer. The results obtained for decoding ease clearly depend on the programming techniques used, which in turn depend on the computer available. The codes implemented are compared in terms of error-correcting ability, and effort involved in decoding. (Modified author abstract).

Error-control coding is a special subject with its own history and arithmetic systems. The theory and usage of error-control codes relate to the protection of digital information against errors that occur during data transmission and storage. Error correction coding attaches redundancy to the data at the system's error correction encoder and uses that redundancy to correct erroneous data at the error correction decoder.This thesis focuses on error correcting codes and the hardware implementation of two error-control codes - Reed-Solomon (RS) codes and Viterbi's algorithm. Prior to emphasizing on these two codes, a brief description of various other types of error correcting schemes is presented. A simple (15, 9) RS code and a (4, 1, 2) convolutional code are taken to elaborate the encoding and decoding processes for these error correcting codes. The primary objective of this thesis is to provide a simple and efficient hardware for reliably transmitting and receiving message bits across a communication channel.

The NATO Advanced Research Workshop on Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes has been organized in Veliko Tarnovo, Bulgaria, on October 6-9, 2008. This title includes the papers based on the lectures of the invited speakers, and on the talks of the participants in the workshop.

Bridging the gap between theoretical aspects of coding and the practical implementations, Practical Implementation of Error Correction Codes covers the state-of-the-art in error correction coding and how it is applied to real-world applications. Systematically explaining the design and implementation of new error correction codes, this book provides a unique single source to help engineers and students develop competitive solutions quickly and efficiently. Practical guidelines for implementing error correction codes in software or hardware are provided and new error correction techniques, as well as important old techniques, are covered with implementation examples.