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COMBINATORICS
2004
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Nonexistence Results for Hadamard-like Matrices
The class of square (0, 1, -1)-matrices whose rows are nonzero and mutually orthogonal is studied. This class generalizes the classes of Hadamard and Weighing matrices. We prove t...
Justin D. Christian, Bryan L. Shader
AML
2010
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The limitations of cupping in the local structure of the enumeration degrees
Abstract We prove that a sequence of sets containing representatives of cupping partners for every nonzero 0 2 enumeration degree cannot have a 0 2 enumeration. We also prove that ...
Mariya Ivanova Soskova