Coding Matrices for the Semi-Direct Product Groups

Authors : Amnah ALKİNANİ, Ahmed KHAMMASH

Pages : 109-115

Doi:10.33401/fujma.690424

View : 23 | Download : 11

Publication Date : 2020-12-15

Article Type : Research Paper

Abstract :We shall determine the coding matrix of the semi-direct product group $ G = C_{n} \rtimes_{\phi} C_{m} $ ; $ \phi : C_{m} \longrightarrow Autinsert ignore into journalissuearticles values(C_{n}); $ of two cyclic groups in order to generalize the known result for the dihedral group $D_{2n}$, which is known to be a semi-direct of the two cyclic groups $C_{n} \ , \ C_{2}$.
Keywords : Code, Group ring, Ring of matrices, Semi direct product group