Advanced Study on Cyclic Codes Associated to Muffin Ideals over Quaternion Integer Ring ((-1,-1)/z_p )

In this paper, we construct cyclic codes associated with Muffin ideals over quaternion integer rings-  where 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.

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