Monomial codes seen as invariant subspaces

María Isabel García-Planas, Dolors Maria Magret, and Laurence Emilie Um. "Monomial codes seen as invariant subspaces." Open Mathematics 15.1 (2017): 1099-1107. <http://eudml.org/doc/288486>.

@article{MaríaIsabelGarcía2017,
abstract = {It is well known that cyclic codes are very useful because of their applications, since they are not computationally expensive and encoding can be easily implemented. The relationship between cyclic codes and invariant subspaces is also well known. In this paper a generalization of this relationship is presented between monomial codes over a finite field 𝔽 and hyperinvariant subspaces of 𝔽n under an appropriate linear transformation. Using techniques of Linear Algebra it is possible to deduce certain properties for this particular type of codes, generalizing known results on cyclic codes.},
author = {María Isabel García-Planas, Dolors Maria Magret, Laurence Emilie Um},
journal = {Open Mathematics},
keywords = {Monomial codes; Invariant subspaces},
language = {eng},
number = {1},
pages = {1099-1107},
title = {Monomial codes seen as invariant subspaces},
url = {http://eudml.org/doc/288486},
volume = {15},
year = {2017},
}

TY - JOUR
AU - María Isabel García-Planas
AU - Dolors Maria Magret
AU - Laurence Emilie Um
TI - Monomial codes seen as invariant subspaces
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1099
EP - 1107
AB - It is well known that cyclic codes are very useful because of their applications, since they are not computationally expensive and encoding can be easily implemented. The relationship between cyclic codes and invariant subspaces is also well known. In this paper a generalization of this relationship is presented between monomial codes over a finite field 𝔽 and hyperinvariant subspaces of 𝔽n under an appropriate linear transformation. Using techniques of Linear Algebra it is possible to deduce certain properties for this particular type of codes, generalizing known results on cyclic codes.
LA - eng
KW - Monomial codes; Invariant subspaces
UR - http://eudml.org/doc/288486
ER -