Work

Combining Parallel Linkage Construction and Echelon-Ferrers Construction for Constant-Dimension Codes

Year: 2025

Type: article

Abstract: In the constant dimension codes (CDCs) case, to explore the largest possible value Aq(n, d, k) is one of the most fundamental topics in subspace coding. Echelon-Ferrers is an approach proposed in 2009 for CDCs' construction, and has received extensive attentions. In this letter, in order to further improve the constructions, we study the method which combines linkage construction and echelon-Ferrers construction. This allows us to produce some improvements to lower bounds for constant dimension codes, including Aq(13, 4, 4),Aq(17, 4, 4), Aq(19, 6, 6) etc.

Source: IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences

DOI: 10.1587/transfun.2025eal2015

Authors: Xueyuan ZHANG, SHAOYU, Xianmang HE, Yujia LI

Institutions: Ningbo University, Ningbo University of Finance & Economics, Shanghai Dianji University

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4410530735

FWCI:

Cites: 22

Cited by:

Related to: 10