Add to ORKGThe axioms of fields satisfy over sets of numbers such as , , and . Generally, a set matrix is not commutative for binary multiplication properties, such that cannot satisfy of field axioms. In this paper we will discuss the circulant matrix set which satisfies the commutative properties of multiplication, then it will be shown that the definition of a field is satisfied by the circulant matrix . This can provide a new perspective on a field formed by matrix
AbstractIn [5], a class Σ of p×p circulant matrices was studied where p is a prime, and necessary an...
AbstractIf F is an arbitrary finite field and T is an n × n orthogonal matrix with entries in F then...
AbstractConsider the powers of a square matrix A of order n in bottleneck algebra, where addition an...
Circulant matrices have attracted interest due to their rich algebraic structures and various applic...
AbstractRings of polynomials RN = Zp[x]/xN − 1 which are isomorphic to ZPN are studied, where p is p...
Abstract. This paper has studied some properties of circulant matrices, and makes use of the complex...
Let F be a finite field with q elements where $q=p\sp{m}, p$ prime. Let ${\cal M}$ be the algebra of...
AbstractLet K be a field of characteristic ≠2. It is proven that for K∉{F3,F5} each square matrix wi...
AbstractIt is currently fashionable to construct linear binary codes by specifying a set of generati...
AbstractThe spectral theory for circulants over R or C is discussed, followed by a discussion of inv...
Some properties of the "discriminant matrix" (α_i^(S_k))) of a normal algebraic number field of degr...
International audienceWe give a new algebraic proof of the non-existence of circulant involutory MDS...
Summary. This article introduces definitions of circulant matrices, line-and column-circulant matric...
International audienceWe give a new algebraic proof of the non-existence of circulant involutory MDS...
AbstractA class Σ of matrices is studied which contains, as special subclasses, p-circulant matrices...
AbstractIn [5], a class Σ of p×p circulant matrices was studied where p is a prime, and necessary an...
AbstractIf F is an arbitrary finite field and T is an n × n orthogonal matrix with entries in F then...
AbstractConsider the powers of a square matrix A of order n in bottleneck algebra, where addition an...
Circulant matrices have attracted interest due to their rich algebraic structures and various applic...
AbstractRings of polynomials RN = Zp[x]/xN − 1 which are isomorphic to ZPN are studied, where p is p...
Abstract. This paper has studied some properties of circulant matrices, and makes use of the complex...
Let F be a finite field with q elements where $q=p\sp{m}, p$ prime. Let ${\cal M}$ be the algebra of...
AbstractLet K be a field of characteristic ≠2. It is proven that for K∉{F3,F5} each square matrix wi...
AbstractIt is currently fashionable to construct linear binary codes by specifying a set of generati...
AbstractThe spectral theory for circulants over R or C is discussed, followed by a discussion of inv...
Some properties of the "discriminant matrix" (α_i^(S_k))) of a normal algebraic number field of degr...
International audienceWe give a new algebraic proof of the non-existence of circulant involutory MDS...
Summary. This article introduces definitions of circulant matrices, line-and column-circulant matric...
International audienceWe give a new algebraic proof of the non-existence of circulant involutory MDS...
AbstractA class Σ of matrices is studied which contains, as special subclasses, p-circulant matrices...
AbstractIn [5], a class Σ of p×p circulant matrices was studied where p is a prime, and necessary an...
AbstractIf F is an arbitrary finite field and T is an n × n orthogonal matrix with entries in F then...
AbstractConsider the powers of a square matrix A of order n in bottleneck algebra, where addition an...