We introduce Legendre sequences and generalised Legendre pairs (GL-pairs). We show how to construct a Hadamard matrix of order 2ℓ + 2 from a GL—pair of length ℓ. We review the known constructions for GL-pairs and use the discrete Fourier transform (DFT) and power spectral density (PSD) to enable an exhaustive search for GL-pairs for lengths ℓ ≤ 45 and partial results for other ℓ
Abstract—A new method to study and search for two-level autocorrelation sequences for both binary an...
In this paper, a recurrent method for constructing the generalized Hadamard matrices D(r(m)(r+ l), r...
We survey research progress in Hadamard matrices, especially cocyclic Hadamard matrices, their gener...
We introduce Legendre sequences and generalised Legendre pairs (GL{pairs). We show how to construct ...
We provide a search method for Legendre pairs of composite length based on generating binary matrice...
Abstract. In an eort to search for a new binary two-level autocorre-lation sequence, the decimation-...
We investigate how Legendre G-array pairs are related to several different perfect binary G-array fa...
We present a new parametrization of families of complex Hadamard matrices stemming from the Fourier ...
In this paper we study the Hadamard matrices and some algorithms to generate them. We review some th...
In this paper we study the Hadamard matrices and some algorithms to generate them. We review some th...
This work is mainly devoted to the study of generalization of Hadamard matrices, first over the sth ...
In a recent series of papers, Higuchi and Higuchi defined an extended constrained-search procedure b...
In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of coc...
A generalised Hadamard transform for multiphase or multilevel signals is introduced, which includes ...
A new and fast method to find the discrete Legendre polynomial (DLP) coefficients is presented. The ...
Abstract—A new method to study and search for two-level autocorrelation sequences for both binary an...
In this paper, a recurrent method for constructing the generalized Hadamard matrices D(r(m)(r+ l), r...
We survey research progress in Hadamard matrices, especially cocyclic Hadamard matrices, their gener...
We introduce Legendre sequences and generalised Legendre pairs (GL{pairs). We show how to construct ...
We provide a search method for Legendre pairs of composite length based on generating binary matrice...
Abstract. In an eort to search for a new binary two-level autocorre-lation sequence, the decimation-...
We investigate how Legendre G-array pairs are related to several different perfect binary G-array fa...
We present a new parametrization of families of complex Hadamard matrices stemming from the Fourier ...
In this paper we study the Hadamard matrices and some algorithms to generate them. We review some th...
In this paper we study the Hadamard matrices and some algorithms to generate them. We review some th...
This work is mainly devoted to the study of generalization of Hadamard matrices, first over the sth ...
In a recent series of papers, Higuchi and Higuchi defined an extended constrained-search procedure b...
In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of coc...
A generalised Hadamard transform for multiphase or multilevel signals is introduced, which includes ...
A new and fast method to find the discrete Legendre polynomial (DLP) coefficients is presented. The ...
Abstract—A new method to study and search for two-level autocorrelation sequences for both binary an...
In this paper, a recurrent method for constructing the generalized Hadamard matrices D(r(m)(r+ l), r...
We survey research progress in Hadamard matrices, especially cocyclic Hadamard matrices, their gener...
Add to ORKG