Title
On doubly-cyclic convolutional codes
Abstract
Cyclicity of a convolutional code (CC) is relying on a nontrivial automorphism of the algebra F(x)/(xn 1), where F is a finite field. A particular choice of the data leads to the class of doubly-cyclic CC's. Within this large class Reed-Solomon and BCH convolu- tional codes can be defined. After constructing doubly-cyclic CC's, basic properties are derived on the basis of which distance properties of Reed-Solomon convolutional codes are investigated. This shows that some of them are optimal or near optimal with respect to distance and performance.
Year
DOI
Venue
2006
10.1007/s00200-006-0014-9
Applicable Algebra in Engineering, Communication and Computing
Keywords
DocType
Volume
Convolutional coding theory,Cyclic codes,Skew polynomial rings,94B10,94B15,16S36
Journal
math.RA/04
Issue
ISSN
Citations 
2
0938-1279
7
PageRank 
References 
Authors
0.53
12
2
Name
Order
Citations
PageRank
Heide Gluesing-Luerssen16912.81
Wiland Schmale2132.57