Several classes of binary linear codes and their weight enumerators

Several classes of binary linear codes and their weight enumerators AAECC https://doi.org/10.1007/s00200-018-0361-3 ORIGINAL PAPER Several classes of binary linear codes and their weight enumerators 1 2 3 Fei Li · Yang Yan · Qiuyan Wang · Tongjiang Yan Received: 30 July 2017 / Revised: 19 May 2018 / Accepted: 25 May 2018 © Springer-Verlag GmbH Germany, part of Springer Nature 2018 Abstract In the past decades, linear codes with a few weights have been extensively studied for their applications in space communication, data storage and cryptography etc. We construct several classes of binary linear codes and determine their weight distributions. Most of these codes can be used in secret sharing schemes. Keywords Binary linear code · Weight distribution · Secret sharing Mathematics Subject Classification 94B05 · 94A62 · 11T71 This research is supported by National Natural Science Foundation of China (61602342). B Fei Li cczxlf@163.com B Qiuyan Wang wangyan198801@163.com Yang Yan yanyang9021@iie.ac.cn Tongjiang Yan yantoji@163.com Faculty of School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, Anhui, China Faculty of National Engineering Laboratory for Information Security Technologies, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100195, China Faculty of School of Computer Science and Software Engineering, Tianjin Polytechnic University, Tianjin 300387, China Faculty http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Applicable Algebra in Engineering, Communication and Computing" Springer Journals

Several classes of binary linear codes and their weight enumerators

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer-Verlag GmbH Germany, part of Springer Nature
Subject
Computer Science; Symbolic and Algebraic Manipulation; Computer Hardware; Theory of Computation; Artificial Intelligence (incl. Robotics)
ISSN
0938-1279
eISSN
1432-0622
D.O.I.
10.1007/s00200-018-0361-3
Publisher site
See Article on Publisher Site

Abstract

AAECC https://doi.org/10.1007/s00200-018-0361-3 ORIGINAL PAPER Several classes of binary linear codes and their weight enumerators 1 2 3 Fei Li · Yang Yan · Qiuyan Wang · Tongjiang Yan Received: 30 July 2017 / Revised: 19 May 2018 / Accepted: 25 May 2018 © Springer-Verlag GmbH Germany, part of Springer Nature 2018 Abstract In the past decades, linear codes with a few weights have been extensively studied for their applications in space communication, data storage and cryptography etc. We construct several classes of binary linear codes and determine their weight distributions. Most of these codes can be used in secret sharing schemes. Keywords Binary linear code · Weight distribution · Secret sharing Mathematics Subject Classification 94B05 · 94A62 · 11T71 This research is supported by National Natural Science Foundation of China (61602342). B Fei Li cczxlf@163.com B Qiuyan Wang wangyan198801@163.com Yang Yan yanyang9021@iie.ac.cn Tongjiang Yan yantoji@163.com Faculty of School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, Anhui, China Faculty of National Engineering Laboratory for Information Security Technologies, Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100195, China Faculty of School of Computer Science and Software Engineering, Tianjin Polytechnic University, Tianjin 300387, China Faculty

Journal

"Applicable Algebra in Engineering, Communication and Computing"Springer Journals

Published: May 29, 2018

References

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