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Forward Error Correction Based On Algebraic-Geometric Theory

Part of the SpringerBriefs in Electrical and Computer Engineering Book Series

DOI: 10.1007/978-3-319-08293-6

ISBN: 978-3-319-08292-9

Publisher: Springer International Publishing - Springer Journals

Jun 13, 2014

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Introduction

Alzubi, Jafar A.; Alzubi, Omar A.; Chen, Thomas M.

Pages: 1 –7

[In the past decade, the number of mobile devices has escalated driven mostly by demand for bandwidth-hungry smart phones. The need for efficient and reliable wireless communications has never been greater. The future Internet of Things (IoT) consisting of interconnected common objects capable of...
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Theoretical Background

Alzubi, Jafar A.; Alzubi, Omar A.; Chen, Thomas M.

Pages: 9 –29

[In this chapter, the theoretical background is presented covering design and construction of AG codes for the encoder and decoder along with important parameters. We also present a block diagram of the modified Sakata’s algorithm for the first time. It shows how the construction of AG codes...
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Literature Review

Alzubi, Jafar A.; Alzubi, Omar A.; Chen, Thomas M.

Pages: 31 –39

[There is a relative lack of basic and fundamental chapters that can serve as a starting point for researchers in the field of using algebraic geometry theory in forward error correction and especially in BTCs. Even the algebraic geometry approach found to be efficient in dealing with binary and...
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Algebraic-Geometric Non-binary Block Turbo Codes

Alzubi, Jafar A.; Alzubi, Omar A.; Chen, Thomas M.

Pages: 41 –55

[In Chap. 2, the necessary mathematics needed to understand the design, construction, and encoding and decoding of AG codes were covered. This chapter will focus on the concept of block turbo design of AG codes constructed from Hermitian curves defined over finite fields, and the iterative...
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Irregular Decoding of Algebraic-Geometric Block Turbo Codes

Alzubi, Jafar A.; Alzubi, Omar A.; Chen, Thomas M.

Pages: 57 –68

[In the previous chapter, the design, construction, and implementation of quantam AG-BTCs were proposed and investigated in depth. The designed system suffered from high complexity in the decoding side due to the use of Chase-Pyndiah’s decoding algorithm. In this algorithm, the decoding process...
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Conclusions

Alzubi, Jafar A.; Alzubi, Omar A.; Chen, Thomas M.

Pages: 69 –70

[In this book, BER performance results for AG codes published in the literature have been verified through simulations. Those results allow us to draw solid conclusions about the performance, parameterization, and characteristics of AG codes. For both AWGN and Rayleigh fast fading channels,...

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