Next Article in Journal
Quantum–Classical Optimization for Efficient Genomic Data Transmission
Previous Article in Journal
Scheduling Optimization of a Vehicle Power Battery Workshop Based on an Improved Multi-Objective Particle Swarm Optimization Method
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Mathematics
Volume 13
Issue 17
10.3390/math13172791
mathematics-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Two Families of Optimal Binary Linear Complementary Pairs of Codes

by
Xia Li
1,2,3,* and
Zhaole Li
4
1
National Trusted Embedded Software Engineering Technology Research Center, East China Normal University, Shanghai 200062, China
2
Hubei Key Laboratory of Applied Mathematics, Hubei University, Wuhan 430062, China
3
College of Science, Nanjing University of Posts and Telecommunications, Nanjing 211100, China
4
The School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(17), 2791; https://doi.org/10.3390/math13172791 (registering DOI)
Submission received: 3 August 2025 / Revised: 29 August 2025 / Accepted: 29 August 2025 / Published: 30 August 2025
Versions Notes

Abstract

The optimal security parameters for binary linear complementary pair (LCP) codes are open. Inspired by this, we study LCPs of codes. In this paper, we construct two families of optimal binary LCPs of codes.
Keywords: linear complementary pair codes; optimal codes; Griesmer bound linear complementary pair codes; optimal codes; Griesmer bound

Share and Cite

MDPI and ACS Style

Li, X.; Li, Z. Two Families of Optimal Binary Linear Complementary Pairs of Codes. Mathematics 2025, 13, 2791. https://doi.org/10.3390/math13172791

AMA Style

Li X, Li Z. Two Families of Optimal Binary Linear Complementary Pairs of Codes. Mathematics. 2025; 13(17):2791. https://doi.org/10.3390/math13172791

Chicago/Turabian Style

Li, Xia, and Zhaole Li. 2025. "Two Families of Optimal Binary Linear Complementary Pairs of Codes" Mathematics 13, no. 17: 2791. https://doi.org/10.3390/math13172791

APA Style

Li, X., & Li, Z. (2025). Two Families of Optimal Binary Linear Complementary Pairs of Codes. Mathematics, 13(17), 2791. https://doi.org/10.3390/math13172791

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop