# Finding a Generator Matrix of a Multidimensional Cyclic Code

## TL;DR

This paper extends a method for constructing generator matrices from two-dimensional cyclic codes to more complex multicyclic codes, enabling the formation of a basis and the subsequent creation of a generator matrix.

## Contribution

The paper generalizes Sepasdar's method to find a basis and generator matrix for multicyclic codes, broadening the applicability of the technique.

## Key findings

- Successfully generalized the method to multicyclic codes
- Provided a procedure to construct a generator matrix from the basis
- Enhanced understanding of multicyclic code structure

## Abstract

We generalize Sepasdar's method for finding a generator matrix of two-dimensional cyclic codes to find an independent subset of a general multicyclic code, which may form a basis of the code as a vector subspace. A generator matrix can be then constructed from this basis.