Title :
Cyclic codes over ?4 + u?4
Author :
Rama Krishna Bandi;Maheshanand Bhaintwal
Author_Institution :
Department of Mathematics, Indian Institute of Technology Roorkee, 247667, India
Abstract :
In this paper, we study cyclic codes over the ring R = ℤ4 + uℤ4, u2 = 0. We discuss the Galois ring extensions of R and the ideal structure of these extensions. We have studied cyclic codes of odd lengths over R and also presented 1-generator cyclic codes over R interms nth roots of unity. Some examples are given to illustrate the results.
Keywords :
"Linear codes","Structural rings","Hafnium","Electronic mail","Modules (abstract algebra)","Hamming weight"
Conference_Titel :
Signal Design and its Applications in Communications (IWSDA), 2015 Seventh International Workshop on
Electronic_ISBN :
2150-3699
DOI :
10.1109/IWSDA.2015.7458411
