Skew cyclic codes over some rings
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Abstract (EN)
In this thesis, firstly it is investigated properties of skew cyclic codes, which are generalizations of cyclic codes. Skew polynomial ring over R=Z_4+uZ_4,u^2=1 with a derivation 〖 δ〗_θ and an automorphism θ is defined, properties of algebraic are investigated, skew cyclic codes over R is compiled. In case of u^2=u, v^2=v, uv=vu=0 and u^2=1, v^2=1, uv=vu=0, skew polynomial ring over 〖 Z〗_4+uZ_4+vZ_4 is defined, skew cyclic ring over the ring is studied and its parity-check matrix is given.
Author
Nesibe Yılmaz
How to Cite
Nesibe Yılmaz (Master Thesis). Skew cyclic codes over some rings, 2022, Osmaniye Korkut Ata University.
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