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Paper detail

Improved error bounds for the distance distribution of Reed-Solomon codes

We use the generating function approach to derive simple expressions for the factorial moments of the distance distribution over Reed-Solomon codes. We obtain better upper bounds for the error term of a counting formula given by Li and Wan, which gives nontrivial estimates on the number of polynomials over finite fields with prescribed leading coefficients and a given number of linear factors. This improvement leads to new results on the classification of deep holes of Reed Solomon codes.

preprint2022arXivOpen access
Zhicheng GaoJiyou Li
math.COmath.ITInformation Theory
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Zhicheng GaoJiyou Li

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