Journal of the
Korean Mathematical Society JKMS

In [8], we showed that any ideal of $\mathbb Z_4[X]/(X^{2^n}-1)$ is generated by at most two polynomials of the standard forms. The purpose of this paper is to find a description of the cyclic codes of even length over $\mathbb Z_4$ namely the ideals of $\mathbb Z_4[X]/(X^l-1)$, where $l$ is an even integer.

Keywords: cyclic code of even length over $\mathbb Z_4$

MSC numbers: 13M05, 13M10