منابع مشابه
An infinite family of Goethals-Seidel arrays
In this paper we construct an infinite family of Goethals-Seidel arrays and prove the theorem: If q = 4n − 1 is a prime power ≡ 3(mod 8), then there exists an Hadamard matrix of order 4n of Goethals-Seidel type.
متن کاملAssociation schemes related to Delsarte-Goethals codes
In this paper, we construct an infinite series of 9-class association schemes from a refinement of the partition of Delsarte-Goethals codes by their Lee weights. The explicit expressions of the dual schemes are determined through direct manipulations of complicated exponential sums. As a byproduct, the other three infinite families of association schemes are also obtained as fusion schemes and ...
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Conventional pharmacologic treatments for major depressive disorder (MDD) generally take several weeks to several months to have a clinically meaningful effect. This time lag to response constitutes a major burden for patients and contributes to increased morbidity and mortality. Two published studies in patients with MDD have now provided evidence for rapid and robust antidepressant efficacy o...
متن کامل4 - Linearity of Kerdock , Preparata , Goethals and Related Codes ∗
Certain notorious nonlinear binary codes contain more codewords than any known linear code. These include the codes constructed by Nordstrom-Robinson , Kerdock, Preparata, Goethals, and Delsarte-Goethals . It is shown here that all these codes can be very simply constructed as binary images under the Gray map of linear codes over 4, the integers mod 4 (although this requires a slight modificati...
متن کاملThe Null Space of the Delsarte-Goethals Frame
In compressed sensing (CS) [1–3], we wish to sense a signal f ∈ RC by taking its product with a matrix Φ ∈ RN×C to obtain a measurement vector y ∈ R . We refer to the rows of Φ as the projection vectors, as measurements y correspond to projections, or inner products, of the signal f onto the rows of the matrix Φ. When N C, this acquisition scheme effectively compresses the signal f . Since in t...
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ژورنال
عنوان ژورنال: Ghendtsche Tydinghen
سال: 1970
ISSN: 1783-9033
DOI: 10.21825/gt.v9i1.7389