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.
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Alzubi, J.A., Alzubi, O.A., Chen, T.M. (2014). Algebraic-Geometric Non-binary Block Turbo Codes. In: Forward Error Correction Based On Algebraic-Geometric Theory. SpringerBriefs in Electrical and Computer Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-08293-6_4
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DOI: https://doi.org/10.1007/978-3-319-08293-6_4
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