Regular Section
Self-Dual Cyclic Codes over ℤ4[u]/<u2-1> and Their Applications of ℤ4-Self-Dual Codes Construction
2018 年 E101.A 巻 10 号 p. 1724-1729
詳細
2018 年 E101.A 巻 10 号 p. 1724-1729
In this paper, we study self-dual cyclic codes of length n over the ring R=ℤ4[u]/<u2-1>, where n is an odd positive integer. We define a new Gray map ϕ from R to ℤ42. It is a bijective map and maintains the self-duality. Furthermore, we give the structures of the generators of cyclic codes and self-dual cyclic codes of odd length n over the ring R. As an application, some self-dual codes of length 2n over ℤ4 are obtained.
