@inproceedings{9d6a15169eab4726964a979e4666eb74,
title = "The Optimal Rate of Second-Order Generalized-Covering Codes",
abstract = "The generalized-covering radius was recently proposed as a fundamental property of linear codes. We consider a natural extension of this property to general (not necessarily linear) codes, and provide an asymptotic solution to our problem by finding the optimal rate function of second-order covering codes given a fixed normalized covering radius. We also prove that the fraction of second-order covering codes among codes of sufficiently large rate tends to 1 as the code length tends to 8.",
author = "Dor Elimelech and Moshe Schwartz",
note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 2023 IEEE International Symposium on Information Theory, ISIT 2023 ; Conference date: 25-06-2023 Through 30-06-2023",
year = "2023",
month = jan,
day = "1",
doi = "https://doi.org/10.1109/ISIT54713.2023.10206841",
language = "الإنجليزيّة",
series = "IEEE International Symposium on Information Theory - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "222--227",
booktitle = "2023 IEEE International Symposium on Information Theory, ISIT 2023",
address = "الولايات المتّحدة",
}