Non-Existence of Linear Perfect Lee Codes With Radius 2 for Infinitely Many Dimensions

Author:

Qureshi ClaudioORCID,Campello AntonioORCID,Costa Sueli I. R.ORCID

Funder

FAPESP

CNPq

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Subject

Library and Information Sciences,Computer Science Applications,Information Systems

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Perfect codes in two-dimensional algebraic lattices;Discrete Mathematics;2024-01

2. On Almost Perfect Linear Lee Codes of Packing Radius 2;IEEE Transactions on Information Theory;2023-10

3. Perfect codes in Euclidean lattices;Computational and Applied Mathematics;2021-02-12

4. On the non-existence of linear perfect Lee codes: The Zhang–Ge condition and a new polynomial criterion;European Journal of Combinatorics;2020-01

5. On the nonexistence of lattice tilings of Zn by Lee spheres;Journal of Combinatorial Theory, Series A;2019-07

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