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Mathematics
Volume 13
Issue 17
10.3390/math13172791
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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
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

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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

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