Title :
On repeated-root cyclic codes and its weight enumirator
Author :
Bhullar, Jaskaran S. ; Gupta, Manish ; Sonia
Author_Institution :
Dept. of Appl. Sci., Malout Inst. of Manage. & Inf. Technol., Malout, India
Abstract :
The squaring and iterated squaring construction for cyclic codes, obtained from well known construction |u|u + v|, are widely in use because of their comparatively less complex nature. A large number of quality codes and lattices such as Reed-Mullar codes and Barnes-Wall lattices are generated by employing simple constructions. The paper describes squaring construction and iterated construction for repeated-root cyclic codes and their utility for creating a large number of self-dual codes of long lengths. 1-level and 2-level squaring construction has been used in order to drive the m-level squaring construction.
Keywords :
Reed-Muller codes; Barnes-Wall lattices; Reed-Mullar codes; iterated construction; quality codes; repeated-root cyclic codes; squaring construction; weight enumirator; 1-level squaring construction; 2-level squaring construction; Coset codes; cyclic self-dual codes; kronecker product; repeated-root cyclic codes;
Conference_Titel :
Information Theory and Information Security (ICITIS), 2010 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6942-0
DOI :
10.1109/ICITIS.2010.5689730
