2 citations · 4 across the 5 of their papers we have counts for
5 papers
Any strongly controllable group system or group shift or any linear block code is isomorphic to a generator group
Kenneth M. Mackenthun
Consider any sequence of finite groups , where takes values in an integer index set . A group system is a set of sequences with components in that fo…
Any strongly controllable group system or group shift or any linear block code is a linear system whose input is a generator group
Kenneth M. Mackenthun
Consider any sequence of finite groups , where takes values in an integer index set . A group system is a set of sequences with components in that fo…
Time and harmonic study of strongly controllable group systems, group shifts, and group codes
Kenneth M. Mackenthun
In this paper we give a complementary view of some of the results on group systems by Forney and Trott. We find an encoder of a group system which has the form of a time convolutio…
Group Codes and the Schreier matrix form
Kenneth M. Mackenthun
In a group trellis, the sequence of branches that split from the identity path and merge to the identity path form two normal chains. The Schreier refinement theorem can be applied…
On strongly controllable group codes and mixing group shifts: solvable groups, translation nets, and algorithms
Kenneth M. Mackenthun
The branch group of a strongly controllable group code is a shift group. We show that a shift group can be characterized in a very simple way. In addition it is shown that if a str…