On the Structure of the Binary LCD Codes having an Automorphism of Odd Prime Order
Stefka Bouyuklieva, Javier de la Cruz
TL;DR
This paper investigates the structure of binary LCD codes with automorphisms of odd prime order and introduces a new method for constructing such codes.
Contribution
It provides a detailed analysis of the structure of these codes and proposes a novel construction method for binary LCD codes with specific automorphisms.
Findings
Characterization of the structure of binary LCD codes with odd prime automorphisms
A new construction method for these codes
Insights into their algebraic properties
Abstract
The aim of this work is to study the structure and properties of the binary LCD codes having an automorphisms of odd prime order and to present a method for their construction.
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Taxonomy
TopicsCoding theory and cryptography · graph theory and CDMA systems · Cooperative Communication and Network Coding