Bounds on the Probability of Undetected Error for q-Ary Codes

Autor: Xuan Wang, Huizhou Liu, Patrick Solé
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Entropy, Vol 25, Iss 9, p 1349 (2023)
Druh dokumentu: article
ISSN: 1099-4300
DOI: 10.3390/e25091349
Popis: We study the probability of an undetected error for general q-ary codes. We give upper and lower bounds on this quantity, by the Linear Programming and the Polynomial methods, as a function of the length, size, and minimum distance. Sharper bounds are obtained in the important special case of binary Hamming codes. Finally, several examples are given to illustrate the results of this paper.
Databáze: Directory of Open Access Journals
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