Cyclic Codes over Some Finite Quaternion Integer Rings
Murat Guzeltepe, Mehmet Ozen
TL;DR
This paper develops cyclic codes over specific finite quaternion integer rings using quaternion Mannheim distance and provides a decoding algorithm for these codes.
Contribution
It introduces a new class of cyclic codes over quaternion integer rings and presents a decoding algorithm tailored for them.
Findings
Cyclic codes are constructed over quaternion integer rings.
A decoding algorithm for these codes is proposed.
The codes are analyzed with respect to quaternion Mannheim distance.
Abstract
In this paper, cyclic codes are established over some finite quaternion integer rings with respect to the quaternion Mannheim distance, and de- coding algorithm for these codes is given.
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