# 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} }

- Published 2014
DOI:10.1016/j.laa.2013.11.034

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

#### Citations

##### Publications citing this paper.

SHOWING 1-2 OF 2 CITATIONS

## The Covering Problem in Rosenbloom-Tsfasman Spaces

VIEW 1 EXCERPT

## Intersecting families of extended balls in the Hamming spaces

VIEW 2 EXCERPTS

CITES BACKGROUND