On the non-existence of linear perfect Lee codes: The Zhang–Ge condition and a new polynomial criterion-Reference-Cited by-同舟云学术

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On the non-existence of linear perfect Lee codes: The Zhang–Ge condition and a new polynomial criterion

Published:2020-01 Issue: Volume:83 Page:103022
ISSN:0195-6698
Container-title:European Journal of Combinatorics
language:en
Short-container-title:European Journal of Combinatorics

Author:

Qureshi Claudio

Funder

FAPESP, Brazil

Pedeciba, Uruguay

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics

Reference21 articles.

1. Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables, Vol. 55;Abramowitz,1965

2. Perfect codes in the lp metric;Campello;European J. Combin.,2016

3. Lucas’ theorem for prime powers;Davis;European J. Combin.,1990

4. Algebraic coding and the lee metric;Golomb,1968

5. Perfect codes in the Lee metric and the packing of polyominos;Golomb;SIAM J. Appl. Math.,1970

Cited by 6 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. On the packing density of Lee spheres;Designs, Codes and Cryptography;2024-04-30

2. On linear diameter perfect Lee codes with distance 6;Journal of Combinatorial Theory, Series A;2024-01

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

4. MWS and FWS codes for coordinate-wise weight functions;Applicable Algebra in Engineering, Communication and Computing;2023-05-19

5. Almost perfect linear Lee codes of packing radius 2 only exist for small dimensions;IEEE Transactions on Information Theory;2023

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