Invariant sets under linear operator and covering codes over modules

@inproceedings{Santos2014InvariantSU,
  title={Invariant sets under linear operator and covering codes over modules},
  author={O.J.N.T.N. dos Santos and Emerson L. Monte Carmelo},
  year={2014}
}
Abstract Let A be a finite commutative ring with identity. A subset H of the A -module A n is called an R -short covering of A n if every vector of this module can be written as a sum of a scalar multiple of an element in H and an A -linear combination with at most R canonical vectors. Let C ( A , n , R ) denote the smallest cardinality of an R -short covering of A n . In order to explore the symmetries of such coverings, we investigate a characterization of invariant sets under certain linear… CONTINUE READING

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