On Almost Perfect Linear Lee Codes of Packing Radius 2
Author:
Affiliation:
1. Guangxi Academy of Sciences, Nanning, China
2. Department of Mathematics, National University of Defense Technology, Changsha, China
Funder
Natural Science Foundation of China
Natural Science Foundation of Hunan Province
Training Program for Excellent Young Innovators of Changsha
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Subject
Library and Information Sciences,Computer Science Applications,Information Systems
Link
http://xplorestaging.ieee.org/ielx7/18/10253618/10155255.pdf?arnumber=10155255
Reference26 articles.
1. On the non-existence of linear perfect Lee codes: The Zhang–Ge condition and a new polynomial criterion
2. Perfect and Quasi-Perfect Codes Under the $l_{p}$ Metric
3. Non-Existence of Linear Perfect Lee Codes With Radius 2 for Infinitely Many Dimensions
4. Algebraic method in tilings;horak;arXiv 1603 00051,2016
5. Nonexistence of perfect 2-error-correcting Lee codes in certain dimensions
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1. On the packing density of Lee spheres;Designs, Codes and Cryptography;2024-04-30
2. On Lattice Tilings of ℤn by Limited Magnitude Error Balls B(n, 2, 1, 1);IEEE Transactions on Information Theory;2023-11
3. Almost perfect linear Lee codes of packing radius 2 only exist for small dimensions;IEEE Transactions on Information Theory;2023
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