On (α + uβ)-constacyclic codes of length 4ps over Fpm+ uFpm
Ngày
2018-03-26
Tác giả
Q. Hai Dinh
Nguyen. T Bac
Songsak Sriboonchitta
Tên Tạp chí
Tạp chí ISSN
Nhan đề tập
Nhà xuất bản
Trường Đại học Nguyễn Tất Thành
Giấy phép
Tóm tắt
Present for any odd prime p such that pm ≡ 3 (mod 4), the structures of all (α + uβ)- constacyclic codes of length 4ps over the finite commutative chain ring Fpm + uFpm (u2 = 0) are established in term of their generator polynomials. When the unit (α+ uβ) is a square, each (α + uβ)-constacyclic code of length 4ps is expressed as a direct sum of two constacyclic codes of length 2ps. In the main case that the unit (α + uβ) is not a square, it is shown that the ambient ring (Fpm +uFpm )[x]∗x4ps −(α+uβ) is a principal ideal ring. From that, the structure, number of codewords, duals of all such (α + uβ)-constacyclic codes are obtained. As an application, we identify all self-orthogonal, dual-containing, and the unique self-dual (α + uβ)-constacyclic codes of length 4ps over Fpm + uFpm
Mô tả
16 tr.
Từ khóa
Constacyclic codes , Dual codes , Repeated-root codes