Title
Asymptotically Good Additive Cyclic Codes Exist.
Abstract
Quasi-twisted codes of fixed index >1 have been shown recently to be asymptotically good (A. Alahmadi, C. Güneri, H. Shoaib, P. Solé, 2017). We use this result to construct asymptotically good additive constacyclic codes on any extension of a fixed degree of the base field. A similar result is proved for additive cyclic codes under Artin conjecture on primitive roots.
Year
DOI
Venue
2018
10.1109/LCOMM.2018.2863370
IEEE Communications Letters
Keywords
Field
DocType
Additives,Indexes,Linear codes,Reed-Solomon codes,Decoding,Hamming weight
Discrete mathematics,Computer science,Artin L-function,Computer network,Decoding methods,Hamming weight,Primitive root modulo n
Journal
Volume
Issue
ISSN
22
10
1089-7798
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Minjia Shi12820.11
Rongsheng Wu294.67
Patrick Solé376.25