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Mathematics

Theses

Affine-invariant codes

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Quaternary Affine-Invariant Codes, Badria H Omar Salih May 2015

Quaternary Affine-Invariant Codes, Badria H Omar Salih

Theses

This thesis concerned with extended cyclic codes. The objective of this thesis is to give a full description of binary and quaternary affine-invariant codes of small dimensions. Extended cyclic codes are studied using group ring methods. Affine-invariant codes are described by their defining sets. Results are presented by enumeration of defining sets. Full description of affine-invariant codes is given for small dimensions