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

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...

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Detalles Bibliográficos
Autores principales: Wang, Xuan, Liu, Huizhou, Solé, Patrick
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10528156/
https://www.ncbi.nlm.nih.gov/pubmed/37761648
http://dx.doi.org/10.3390/e25091349