Title
Classical and Quantum Convolutional Codes Derived From Algebraic Geometry Codes
Abstract
In this paper, we construct new families of classical convolutional codes (CCC’s) and new families of quantum convolutional codes (QCC’s). The CCC’s are derived from (block) algebraic geometry (AG) codes. Furthermore, new families of CCC’s are constructed by applying the techniques of puncturing, extending, expanding, and by the direct product code construction applied to AG codes. In addition, utilizing the new CCC’s constructed here, we obtain new families of QCC’s. The parameters of these new codes are good. More precisely, in the classical case, a family of almost near maximum distance separable (MDS) codes is presented; in the quantum case, we construct a family of MDS (optimal) quantum convolutional codes.
Year
DOI
Venue
2019
10.1109/TCOMM.2018.2875754
IEEE Transactions on Communications
Keywords
Field
DocType
Convolutional codes,Geometry,Generators,Systematics,Cost accounting,Quantum communication,Electronic mail
Quantum,Algebraic geometry,Convolutional code,Direct product,Algebra,Computer science,Separable space,Electronic engineering,Quantum information science,Puncturing
Journal
Volume
Issue
ISSN
67
1
0090-6778
Citations 
PageRank 
References 
0
0.34
0
Authors
3