1 research outputs found
On double cyclic codes over Z_4
Let be the integer ring mod . A double cyclic code of
length over is a set that can be partitioned into two parts that
any cyclic shift of the coordinates of both parts leaves invariant the code.
These codes can be viewed as -submodules of . In this paper, we determine the generator polynomials of this
family of codes as -submodules of .
Further, we also give the minimal generating sets of this family of codes as
-submodules of . Some optimal or suboptimal
nonlinear binary codes are obtained from this family of codes. Finally, we
determine the relationship of generators between the double cyclic code and its
dual.Comment: 1