Infinite Families of 3-Designs and 2-Designs From Almost MDS Codes-Reference-Cited by-同舟云学术

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Infinite Families of 3-Designs and 2-Designs From Almost MDS Codes

Published:2022-07 Issue:7 Volume:68 Page:4344-4353
ISSN:0018-9448
Container-title:IEEE Transactions on Information Theory
language:
Short-container-title:IEEE Trans. Inform. Theory

Author:

Xu Guangkui¹^ORCID,Cao Xiwang²^ORCID,Qu Longjiang³^ORCID

Affiliation:

1. School of Finance and Mathematics, Huainan Normal University, Huainan, China

2. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China

3. College of Liberal Arts and Science, National University of Defense Technology, Changsha, China

Funder

National Natural Science Foundation of China

Natural Science Foundation for the Higher Education Institutions of Anhui Province of China

Program for Innovative Research Team in Huainan Normal University

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Subject

Library and Information Sciences,Computer Science Applications,Information Systems

Link

http://xplorestaging.ieee.org/ielx7/18/9798707/09729213.pdf?arnumber=9729213

Reference36 articles.

1. Codes and designs;tonchev;Handbook of Coding Theory,1998

2. An Infinite Family of Linear Codes Supporting 4-Designs

3. Codes, Differentially $\delta$ -Uniform Functions, and $t$ -Designs

4. Steiner systems $$S(2, 4, \frac{3^m-1}{2})$$ and 2-designs from ternary linear codes of length $$\frac{3^m-1}{2}$$

5. Combinatorial t-designs from quadratic functions

Cited by 11 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. Four new families of NMDS codes with dimension 4 and their applications;Finite Fields and Their Applications;2024-10

2. Group codes over crystallographic point groups;Computational and Applied Mathematics;2024-07-11

3. New support 5-designs from lifted linear codes;Theoretical Computer Science;2024-03

4. On the parameters of extended primitive cyclic codes and the related designs;Designs, Codes and Cryptography;2024-02-05

5. Roots of certain polynomials over finite fields;Journal of Number Theory;2023-11

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