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An Encoding and Decoding Design of the RS(31,15,17) with Low Bit Error Rate

BI Du-yan

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Abstract

This thesis introduces the advantages of RS code,and selects the RS(31,15,17)code as the approach of error-correcting-coding according to the properties of low-speed channels.Then it explains explicitly the entire progress of encoding and decoding on the basis of the simplest primitive polynomial.Finally,it proves that this design gets powerful capability of error-correcting and low Bit Error Rate(BER)via ultimate verifications.

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What this paper is about

This thesis introduces the advantages of RS code,and selects the RS(31,15,17)code as the approach of error-correcting-coding according to the properties of low-speed channels.Then it explains explicitly the entire progress of encoding and decoding on the basis of the simplest primitive polynomial.Finally,it proves that this design gets powerful capability of error-correcting and low Bit Error Rate(BER)via ultimate verifications.

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Available abstract

This thesis introduces the advantages of RS code,and selects the RS(31,15,17)code as the approach of error-correcting-coding according to the properties of low-speed channels.Then it explains explicitly the entire progress of encoding and decoding on the basis of the simplest primitive polynomial.Finally,it proves that this design gets powerful capability of error-correcting and low Bit Error Rate(BER)via ultimate verifications.

Key concepts: Decoding methods, Encoding (memory), Computer science, Algorithm, Coding gain, Bit error rate, Coding (social sciences), Error detection and correction

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