In this paper, we study λ-constacyclic codes over the ring R= ℤ4+ u ℤ4, where u 2= 0, for λ=
1+ 3 u and 3+ u. We introduce two new Gray maps from R to ℤ 4 4 and show that the Gray …

We investigate linear codes over the ring Z< sub> 4+ uZ< sub> 4+ vZ< sub> 4+ wZ< sub> 4+
uvZ< sub> 4+ uwZ< sub> 4+ vwZ< sub> 4+ uvwZ< sub> 4; with conditions u²= u, v²= v, w² …

This paper firstly gives some necessary conditions on one-Gray weight linear codes. And
then we use these results to construct several classes of one-Gray weight linear codes over …

In this paper, we study cyclic codes of length n over R= Zq+ uZq, u2= 0, where q is a power
of a prime p and (n; p)= 1. We have determined the complete ideal structure of R. Using this …

The definitions of ρ complete weight enumerator and exact complete ρ weight enumerator
over a matrix ring are given, and the MacWilliams identities with respect to RT metric for the …

We investigate linear codes over the ring $\mathbb {Z} _4+ u\mathbb {Z} _4+ v\mathbb {Z}
_4+ w\mathbb {Z} _4+ uv\mathbb {Z} _4+ uw\mathbb {Z} _4+ vw\mathbb {Z} _4+ uvw\mathbb …