Improved Error Bounds for the Distance Distribution of Reed-Solomon Codes

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: IEEE Transactions on Information Theory

سال: 2023

ISSN: ['0018-9448', '1557-9654']

DOI: https://doi.org/10.1109/tit.2023.3242612