On (α + uβ)-constacyclic codes of length 4ps over Fpm+ uFpm

dc.contributor.author	Q. Hai Dinh
dc.contributor.author	Nguyen. T Bac
dc.contributor.author	Songsak Sriboonchitta
dc.date.accessioned	2024-08-21T08:52:58Z
dc.date.available	2024-08-21T08:52:58Z
dc.date.issued	2018-03-26
dc.description	16 tr.
dc.description.abstract	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
dc.identifier.uri	https://oerrepository.ntt.edu.vn/handle/298300331/58
dc.language.iso	en
dc.publisher	Trường Đại học Nguyễn Tất Thành
dc.subject	Constacyclic codes
dc.subject	Dual codes
dc.subject	Repeated-root codes
dc.title	On (α + uβ)-constacyclic codes of length 4ps over Fpm+ uFpm
dc.type	Article

Đang hiển thị 1 - 1 trong tổng số 1

Đang hiển thị 1 - 1 trong tổng số 1