Author/Authors :
Martínez-Moro, Edgar University of Valladolid - Institute of Mathematics - Applied Mathematics Department, Spain , Özadam, Hakan Middle East Technical University - Institute of Applied Mathematics - Department of Mathematics, Turkey , Özadam, Hakan University of Massachusetts - Medical School, USA , Özbudak, Ferruh Middle East Technical University - Institute of Applied Mathematics - Department of Mathematics, Turkey , Szabo, Steve Eastern Kentucky University - Department of Mathematics and Statistics, USA
Abstract :
In this paper we study polycyclic codes of length p^s1 *...* p^sn over Fpa generated by a singlemonomial. These codes form a special class of abelian codes. We show that these codes arise fromthe product of certain single variable codes and we determine their minimum Hamming distance.Finally we extend the results of Massey et. al. in [10] on the weight retaining property of monomialsin one variable to the weight retaining property of monomials in several variables.
Keywords :
Repeated , root Cyclic code , Abelian code , Weight , retaining property
