4 citations · 7 across the 7 of their papers we have counts for
5 papers · 1 filter
On doubly-cyclic convolutional codes
Heide Gluesing-Luerssen, Wiland Schmale
Cyclicity of a convolutional code (CC) is relying on a nontrivial automorphism of the algebra F[x]/(x^n-1), where F is a finite field. If this automorphism itself has certain speci…
On the Parameters of Convolutional Codes with Cyclic Structure
Heide Gluesing-Luerssen, Barbara Langfeld
In this paper convolutional codes with cyclic structure will be investigated. These codes can be understood as left principal ideals in a suitable skew-polynomial ring. It has been…
Distance bounds for convolutional codes and some optimal codes
Heide Gluesing-Luerssen, Wiland Schmale
After a discussion of the Griesmer and Heller bound for the distance of a convolutional code we present several codes with various parameters, over various fields, and meeting the…
Strongly MDS Convolutional Codes
Heide Gluesing-Luerssen, Joachim Rosenthal, Roxana Smarandache
MDS convolutional codes have the property that their free distance is maximal among all codes of the same rate and the same degree. In this paper we introduce a class of MDS convol…
On cyclic convolutional codes
H. Gluesing-Luerssen, W. Schmale
We investigate the notion of cyclicity for convolutional codes as it has been introduced by Piret and Roos in the seventies. Codes of this type are described as submodules of the m…