Add to ORKGThe purpose of this paper is to present the structure of the linear codes over a finite field with q elements that have a permutation automorphism of order m. These codes can be considered as generalized quasi-cyclic codes. Quasi-cyclic codes and almost quasi-cyclic codes are discussed in detail, presenting necessary and sufficient conditions for which linear codes with such an automorphism are self-orthogonal, self-dual, or linear complementary dual
This paper studies the equivalence problem for cyclic codes of length $p^r$ and quasi-cyclic codes o...
A new algebraic approach to quasi-cyclic codes is introduced. The key idea is to regard a quasi-cycl...
This paper studies the equivalence problem for cyclic codes of length $p^r$ and quasi-cyclic codes o...
AbstractThere is a one-to-one correspondence between ℓ-quasi-cyclic codes over a finite field Fq and...
Cyclic codes over finite fields form an important class of codes which has been extensively studied,...
Cyclic codes over finite fields form an important class of codes which has been extensively studied,...
AbstractThere is a one-to-one correspondence between ℓ-quasi-cyclic codes over a finite field Fq and...
AbstractAll optimal binary self-dual codes of length 42 which have an automorphism of order 3 are co...
AbstractQuasi-cyclic codes over a finite field are viewed as cyclic codes over a noncommutative ring...
There is a one-to-one correspondence between ℓ-quasi-cyclic codes over a finite field Fq and linear ...
International audienceIn this note, an intrinsic description of some families of linear codes with s...
Motivated by the question, how $\mathbb{F}_p$-linear, extremal, self-dual codes with an automorphism...
Linear codes with complementary duals (LCD codes) are linear codes that intersect with their duals t...
Linear codes with complementary duals (LCD codes) are linear codes that intersect with their duals t...
Motivated by the question, how $\mathbb{F}_p$-linear, extremal, self-dual codes with an automorphism...
This paper studies the equivalence problem for cyclic codes of length $p^r$ and quasi-cyclic codes o...
A new algebraic approach to quasi-cyclic codes is introduced. The key idea is to regard a quasi-cycl...
This paper studies the equivalence problem for cyclic codes of length $p^r$ and quasi-cyclic codes o...
AbstractThere is a one-to-one correspondence between ℓ-quasi-cyclic codes over a finite field Fq and...
Cyclic codes over finite fields form an important class of codes which has been extensively studied,...
Cyclic codes over finite fields form an important class of codes which has been extensively studied,...
AbstractThere is a one-to-one correspondence between ℓ-quasi-cyclic codes over a finite field Fq and...
AbstractAll optimal binary self-dual codes of length 42 which have an automorphism of order 3 are co...
AbstractQuasi-cyclic codes over a finite field are viewed as cyclic codes over a noncommutative ring...
There is a one-to-one correspondence between ℓ-quasi-cyclic codes over a finite field Fq and linear ...
International audienceIn this note, an intrinsic description of some families of linear codes with s...
Motivated by the question, how $\mathbb{F}_p$-linear, extremal, self-dual codes with an automorphism...
Linear codes with complementary duals (LCD codes) are linear codes that intersect with their duals t...
Linear codes with complementary duals (LCD codes) are linear codes that intersect with their duals t...
Motivated by the question, how $\mathbb{F}_p$-linear, extremal, self-dual codes with an automorphism...
This paper studies the equivalence problem for cyclic codes of length $p^r$ and quasi-cyclic codes o...
A new algebraic approach to quasi-cyclic codes is introduced. The key idea is to regard a quasi-cycl...
This paper studies the equivalence problem for cyclic codes of length $p^r$ and quasi-cyclic codes o...