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Forward Error Correction Based On Algebraic-Geometric TheoryTheoretical Background

Forward Error Correction Based On Algebraic-Geometric Theory: Theoretical Background [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 using Hermitian codes is performed using a hard-input hard-output (HIHO) decoding algorithm. Fundamentals of TCs encoder, decoder and interleaver design are shown. Examples of the construction of BTCs are also presented.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

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References (20)

Publisher
Springer International Publishing
Copyright
© The Author(s) 2014
ISBN
978-3-319-08292-9
Pages
9 –29
DOI
10.1007/978-3-319-08293-6_2
Publisher site
See Chapter on Publisher Site

Abstract

[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 using Hermitian codes is performed using a hard-input hard-output (HIHO) decoding algorithm. Fundamentals of TCs encoder, decoder and interleaver design are shown. Examples of the construction of BTCs are also presented.]

Published: Jun 13, 2014

Keywords: Unknown Syndrome; Exterior Corners; Hermitian Curve; Affine Point; Goppa Codes

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