LCD Cyclic Codes Over Finite Fields

LCD Cyclic Codes Over Finite Fields

In addition to their applications in data storage, communications systems, and consumer electronics, linear complementary dual (LCD) codes-a class of linear codes-have been employed in cryptography recently. LCD cyclic codes were referred to as reversible cyclic codes in the literature. The objectiv...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on information theory 2017-07, Vol.63 (7), p.4344-4356
Hauptverfasser: Li, Chengju, Ding, Cunsheng, Li, Shuxing
Format: Artikel
Sprache:eng
Schlagworte:
BCH codes
Binary system
Codes
Computer science
Cryptography
cyclic codes
Data storage
Electronic mail
Fields (mathematics)
Galois fields
Generators
Linear codes
linear complementary dual (LCD) codes
Liquid crystal displays
Parameters
reversible codes
Zinc
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In addition to their applications in data storage, communications systems, and consumer electronics, linear complementary dual (LCD) codes-a class of linear codes-have been employed in cryptography recently. LCD cyclic codes were referred to as reversible cyclic codes in the literature. The objective of this paper is to construct several families of reversible cyclic codes over finite fields and analyze their parameters. The LCD cyclic codes presented in this paper have very good parameters in general, and contain many optimal codes. A well rounded treatment of reversible cyclic codes is also given in this paper.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2017.2672961