In
this paper, we construct cyclic codes associated with Muffin ideals over
quaternion integer ringswhere
zp is the finite field integers modulo odd prime p. We also find a
generator matrix in standard form for These cyclic codes are a good example of
this. The Mannheim distance of these cyclic codes is also determined. We'd like
to figure out the Grobner basis of the cyclic codes associated with muffin
ideals in the future.
Author(s) Details
Dr. Shaikh Javed Shafee
Government Polytechnic, Hingoli, Maharashtra, India.
Dr. Arunkumar R. Patil
Department of Mathematics, Shri Guru Gobind Singhji Institute of
Engineering and Technology, Vishnupuri, Nanded, Maharashtra, India.
View Book :- https://stm.bookpi.org/TPMCS-V8/issue/view/50
Wednesday, 10 March 2021
Advanced Study on Cyclic Codes Associated to Muffin Ideals over Quaternion Integer Ring ((-1,-1)/z_p ) | Chapter 6 | Theory and Practice of Mathematics and Computer Science Vol. 8
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