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math.RA2004
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…
math.RA2003
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…
math.RA2002
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…