Add to ORKG© 2018, Pleiades Publishing, Ltd. A description of the monomial automorphisms group of an arbitrary linear cyclic code in term of polynomials is presented. This allows us to reduce a task of code’s monomial automorphisms calculation to a task of solving some system of equations (in general, nonlinear) over a finite field. The results are illustrated with examples of calculating the full monomial automorphisms groups for two codes
It is very well known that algebraic structures have valuable applications in the theory of error-co...
Isometry classes of linear codes can be described as orbits of gener-ator matrices, as it was shown ...
Abstract. In this paper we study permutations of finite fields Fq that decompose as products of cycl...
A description of the monomial automorphisms group of an arbitrary linear cyclic code in term of p...
© 2018, Pleiades Publishing, Ltd. A description of the monomial automorphisms group of an arbitrary ...
© 2016, Pleiades Publishing, Ltd.We determine the full monomial automorphism groups of Reed–Solomon ...
© 2016, Pleiades Publishing, Ltd.We determine the full monomial automorphism groups of Reed–Solomon ...
© 2016, Pleiades Publishing, Ltd.We determine the full monomial automorphism groups of Reed–Solomon ...
© 2016, Pleiades Publishing, Ltd.We determine the full monomial automorphism groups of Reed–Solomon ...
In this paper, we are interested in monomial codes with associated vector $a=(a_0, a_1,\ldots, a_{n-...
It is well known that cyclic codes are very useful because of their applications, since they are not...
It is well known that cyclic codes are very useful because of their applications, since they are not...
AbstractWe prove that the automorphism group of Generalized Reed-Muller codes is the general linear ...
LetK1,K2 be purely transcendental extensions ofk of finite transcendence degrees and lets1,s2 bek-au...
Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data stor...
It is very well known that algebraic structures have valuable applications in the theory of error-co...
Isometry classes of linear codes can be described as orbits of gener-ator matrices, as it was shown ...
Abstract. In this paper we study permutations of finite fields Fq that decompose as products of cycl...
A description of the monomial automorphisms group of an arbitrary linear cyclic code in term of p...
© 2018, Pleiades Publishing, Ltd. A description of the monomial automorphisms group of an arbitrary ...
© 2016, Pleiades Publishing, Ltd.We determine the full monomial automorphism groups of Reed–Solomon ...
© 2016, Pleiades Publishing, Ltd.We determine the full monomial automorphism groups of Reed–Solomon ...
© 2016, Pleiades Publishing, Ltd.We determine the full monomial automorphism groups of Reed–Solomon ...
© 2016, Pleiades Publishing, Ltd.We determine the full monomial automorphism groups of Reed–Solomon ...
In this paper, we are interested in monomial codes with associated vector $a=(a_0, a_1,\ldots, a_{n-...
It is well known that cyclic codes are very useful because of their applications, since they are not...
It is well known that cyclic codes are very useful because of their applications, since they are not...
AbstractWe prove that the automorphism group of Generalized Reed-Muller codes is the general linear ...
LetK1,K2 be purely transcendental extensions ofk of finite transcendence degrees and lets1,s2 bek-au...
Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data stor...
It is very well known that algebraic structures have valuable applications in the theory of error-co...
Isometry classes of linear codes can be described as orbits of gener-ator matrices, as it was shown ...
Abstract. In this paper we study permutations of finite fields Fq that decompose as products of cycl...