Title

Master of Science in Mathematics

Date of Award

5-2015

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematical Sciences

First Advisor

Dr. Kanat Abdukhalikov

Second Advisor

Dr. Adama Diene

Third Advisor

Dr. Taher Abualrub

Abstract

This thesis concerned with extended cyclic codes. The objective of this thesis is to

Give a full description of binary and quaternary an-invariant codes of small

Dimensions. Extended cyclic codes are studied using group ring methods. Acne-invariant

Codes described by their denning sets. Results presented by enumeration of

Denning sets. Full description of an-invariant codes given for small dimensions

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