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More on the decoder error probability for Reed-Solomon codes

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1 Author(s)
Kar-Ming Cheung ; Jet Propulsion Lab., Pasadena, CA, USA

A combinatorial technique similar to the principle of inclusion and exclusion is used to obtain an exact formula for PE (u), the decoder error probability for Reed-Solomon codes. The PE(u) for the (255, 223) Reed-Solomon code used by NASA and for the (31, 15) Reed-Solomon code (JTIDS code) are calculated using the exact formula and are observed to approach the Qs of the codes rapidly as u gets large. An upper bound for the expression |PE(u)/ Q-1| is derived and shown to decrease nearly exponentially as u increases

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Information Theory, IEEE Transactions on  (Volume:35 ,  Issue: 4 )