Bounds on the Probability of Undetected Error for <i>q</i>-Ary Codes

We study the probability of an undetected error for general <i>q</i>-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 spe...

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Bibliographic Details
Main Authors: Xuan Wang, Huizhou Liu, Patrick Solé
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/9/1349