3 papers
math.RA2017
Minimal Reversible Nonsymmetric Rings
Steve Szabo
Marks showed that , the group algebra over the quaternion group, is a reversible nonsymmetric ring, then questioned whether or not this ring is mini…
math.RA2012
Polycyclic codes over Galois rings with applications to repeated-root constacyclic codes
Sergio R. Lopez-Permouth, Hakan Ozadam, Ferruh Ozbudak +1
Cyclic, negacyclic and constacyclic codes are part of a larger class of codes called polycyclic codes; namely, those codes which can be viewed as ideals of a factor ring of a polyn…
cs.IT2009
On the Hamming weight of Repeated Root Cyclic and Negacyclic Codes over Galois Rings
Sergio Lopez-Permouth, Steve Szabo
Repeated root Cyclic and Negacyclic codes over Galois rings have been studied much less than their simple root counterparts. This situation is beginning to change. For example, rep…