Seminar: On Equivalence of Skew Constacyclic Codes

Time:

Venue/Location: Phòng B403, VIASM

Báo cáo viên: Nguyễn Thị Việt Nhân (Trường Đại học Khoa học Tự nhiên - Đại học Quốc gia TP.HCM)

Tóm tắt: In this session, we introduce and study the (n, σ)-equivalence relation between skew constacyclic codes. Two codes are called equivalent if there exists an isomorphism of the form f(x) ↦ f(αx) between the rings Fq[x, σ]/⟨xⁿ − μ⟩ and Fq[x, σ]/⟨xⁿ − λ⟩. We provide conditions under which two (σ, λ)- and (σ, μ)-constacyclic codes are equivalent, and show when skew constacyclic codes can be viewed as cyclic or quasi-twisted codes. Several examples are given to illustrate the theoretical results.