Conference Paper

# FPGA Implementation of Encoder for (15, k) Binary BCH Code Using VHDL and Performance Comparison for Multiple Error Correction Control

DOI: 10.1109/CSNT.2012.170 Conference: IEEE International Conference on Communication Systems and Network Technologies, Volume: 2

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**ABSTRACT:**Not AvailableProceedings of the IEEE 10/1986; · 5.47 Impact Factor -
##### Article: A survey of algebraic coding theory

01/1972; - [Show abstract] [Hide abstract]

**ABSTRACT:**In fact “both students and practicing engineers will benefit from the information in this self-contained survey of error control. Current and complete with biographical references, it can serve as a starting point for those conducting graduate-level work in error control coding. As an applications-oriented text, it provides the background necessary to design and implement error control subsystems for digital communication systems. Finally, it includes a tutorial on trellis coded modulation and an up-to-date treatment of ARQ protocols. Containing four basic parts (Finite field theory, Block codes, Convolutional/trellis codes, and System design), Error control systems for digital communication and storage: – Provides an introduction to Galois fields and polynomials with coefficients over Galois fields (Chapters 2-3). – Covers the various types of block error control codes that are currently being used or show promise of use in the future, including BCH and Reed-Solomon (Chapters 4-9). – Treats convolutional codes and their trellis coded progeny; presents the design and performance of the Viterbi and sequential decoding algorithms; discusses the design and use of rate compatible punctured convolutional codes; and offers chapter-length treatment of trellis codes (Chapters 11-14). – Discusses the various means for analyzing the performance of block codes over a variety of channels, particularly the slowly fading channel; examines retransmission request systems that make use of the various block, convolutional, and trellis codes; and explores some specific design applications, including the Compact Disc TM player and the magnetic recording channel (Chapters 1, 10, 15-16)” (from the cover). In addition the five helpful appendices have to be mentioned which list e.g. binary primitive polynomials, add-one tables and vector-space representations for Galois fields of size 2 m , cyclotomic cosets modulo 2 m -1, minimal polynomials of elements in GF(2 m ) and generator polynomials of binary BCH codes.01/1994;

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