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Forward Error Correction Based On Algebraic-Geometric TheoryAlgebraic-Geometric Non-binary Block Turbo Codes

Forward Error Correction Based On Algebraic-Geometric Theory: Algebraic-Geometric Non-binary... [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 decoding of the constructed block turbo codes using a HIHO decoding technique based on Sakata’s algorithm with MV technique and Chase-Pyndiah’s algorithm to extract a soft output from the hard output of the AG decoder. Then this chapter will present simulation results for BER performance of AG-BTCs compared with the BER performance of RS-BTCs of about same size and relatively similar rate over different finite fields.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Forward Error Correction Based On Algebraic-Geometric TheoryAlgebraic-Geometric Non-binary Block Turbo Codes

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/lp/springer-journals/forward-error-correction-based-on-algebraic-geometric-theory-algebraic-yTn3hq0Lq7
Publisher
Springer International Publishing
Copyright
© The Author(s) 2014
ISBN
978-3-319-08292-9
Pages
41 –55
DOI
10.1007/978-3-319-08293-6_4
Publisher site
See Chapter on Publisher Site

Abstract

[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 decoding of the constructed block turbo codes using a HIHO decoding technique based on Sakata’s algorithm with MV technique and Chase-Pyndiah’s algorithm to extract a soft output from the hard output of the AG decoder. Then this chapter will present simulation results for BER performance of AG-BTCs compared with the BER performance of RS-BTCs of about same size and relatively similar rate over different finite fields.]

Published: Jun 13, 2014

Keywords: Modulation Scheme; Code Rate; Orthogonal Frequency Division Multiple Access; Extrinsic Information; Iterative Decode

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