Cyclic Codes Overℤ4 of Even Length

    loading  Checking for direct PDF access through Ovid

Abstract

We determine the structure of cyclic codes over ℤ4 for arbitrary even length giving the generator polynomial for these codes. We determine the number of cyclic codes for a given length. We describe the duals of the cyclic codes, describe the form of cyclic codes that are self-dual and give the number of these codes. We end by examining specific cases of cyclic codes, giving all cyclic self-dual codes of length less than or equal to 14.

Related Topics

    loading  Loading Related Articles