3 papers
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…
math.RA2005
On the Goldie Dimension of Hereditary Rings and Modules
H. Q. Dinh, P. A. Guil Asensio, S. R. Lopez-Permouth
We find a bound for the Goldie dimension of hereditary modules in terms of the cardinality of the generator sets of its quasi-injective hull. Several consequences are deduced. In p…