Constructions of optimal Ferrers diagram rank-metric codes
Journal of Decision Making and Healthcare, Volume 2, Issue 3, December 2025, Pages: 192–198
ZHU GUO
College of Science, Civil Aviation University of China, Tianjin, 300300, China
YONG JIN
College of Science, Civil Aviation University of China, Tianjin, 300300, China
Abstract
Optimal Ferrers diagram rank-metric codes are important in the multilevel construction of constant-dimension codes. In this paper, we focus on constructing such optimal codes. By using maximum rank-distance (MRD) codes over rational function fields and selecting specifical bases, we give the constructions of optimal codes for two specifical types of Ferrers diagrams over smaller base fields. This work extends existing results and enriches the theoretical framework for optimal Ferrers diagram rank-metric codes.
Cite this Article as
Zhu Guo and Yong Jin, Constructions of optimal Ferrers diagram rank-metric codes, Journal of Decision Making and Healthcare, 2(3), 192–198, 2025