Add to ORKGWe give general lower bounds on the maximal determinant of n×n {+1,-1}-matrices, both with and without the assumption of the Hadamard conjecture. Our bounds improve on earlier results of de Launey and Levin (2010) and, for certain congruence classes of
Cocyclic construction has been successfully used for Hadamard matrices of order n. These -matrices s...
We demonstrate the method to show that given 0/1-determinant or -1/1-determinant of order n is not m...
AbstractLet Ωn denote the set of all n × n Hadamard matrices. For H ∈ Ωn, define the weight of H to ...
We suppose the Hadamard conjecture is true and an Hadamard matrix of order 4t, exists for all t ≥ 1....
et D(n) be the maximal determinant for n × n {±1}-matrices, and R(n) = D(n)/nn/2 be the ratio of D(n...
In a celebrated paper of 1893, Hadamard established the maximal determinant theorem, which establish...
In a celebrated paper of 1893, Hadamard established the maximal determinant theorem, which establish...
Let D(n) be the maximal determinant for n × n {±1}-matrices, and R(n) = D(n)/n<sup>n/2</sup> be the ...
By an old result of Cohn (1965), a Hadamard matrix of order n has no proper Hadamard submatrix of or...
AbstractWe give a new proof for the bound on the value of the determinant of a ± 1 matrix of dimensi...
AbstractIn this paper we study the maximal absolute values of determinants and subdeterminants of ±1...
AbstractThe Hadamard maximal determinant problem asks for the largest n×n determinant with entries ±...
We suppose the Hadamard conjecture is true and an Hadamard matrix of order 4t, exists for all t ≥ 1....
AbstractIn this paper we study the maximal absolute values of determinants and subdeterminants of ±1...
By an old result of Cohn (1965), a Hadamard matrix of order <i>n</i> has no proper Hadamard submatri...
Cocyclic construction has been successfully used for Hadamard matrices of order n. These -matrices s...
We demonstrate the method to show that given 0/1-determinant or -1/1-determinant of order n is not m...
AbstractLet Ωn denote the set of all n × n Hadamard matrices. For H ∈ Ωn, define the weight of H to ...
We suppose the Hadamard conjecture is true and an Hadamard matrix of order 4t, exists for all t ≥ 1....
et D(n) be the maximal determinant for n × n {±1}-matrices, and R(n) = D(n)/nn/2 be the ratio of D(n...
In a celebrated paper of 1893, Hadamard established the maximal determinant theorem, which establish...
In a celebrated paper of 1893, Hadamard established the maximal determinant theorem, which establish...
Let D(n) be the maximal determinant for n × n {±1}-matrices, and R(n) = D(n)/n<sup>n/2</sup> be the ...
By an old result of Cohn (1965), a Hadamard matrix of order n has no proper Hadamard submatrix of or...
AbstractWe give a new proof for the bound on the value of the determinant of a ± 1 matrix of dimensi...
AbstractIn this paper we study the maximal absolute values of determinants and subdeterminants of ±1...
AbstractThe Hadamard maximal determinant problem asks for the largest n×n determinant with entries ±...
We suppose the Hadamard conjecture is true and an Hadamard matrix of order 4t, exists for all t ≥ 1....
AbstractIn this paper we study the maximal absolute values of determinants and subdeterminants of ±1...
By an old result of Cohn (1965), a Hadamard matrix of order <i>n</i> has no proper Hadamard submatri...
Cocyclic construction has been successfully used for Hadamard matrices of order n. These -matrices s...
We demonstrate the method to show that given 0/1-determinant or -1/1-determinant of order n is not m...
AbstractLet Ωn denote the set of all n × n Hadamard matrices. For H ∈ Ωn, define the weight of H to ...