Circulant partial Hadamard matrices |
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Authors: | R Craigen G Faucher R Low T Wares |
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Institution: | 1. Department of Mathematics, University of Manitoba, Canada;2. Department of Mathematics, San Jose State University, United States;3. Department of Mathematics and Statistics, University of Ottawa, Canada |
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Abstract: | A question arising in stream cypher cryptanalysis is reframed and generalized in the setting of Hadamard matrices as follows: For given n, what is the maximum value of k for which there exists a k×n(±1)-matrix A such that AAT=nIk, with each row after the first obtained by a cyclic shift of its predecessor by one position? For obvious reasons we call such matrices circulant partial Hadamard matrices. Further, what is the maximum value of k subject to the condition that the row sums are equal to r? |
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Keywords: | primary 05B15 secondary 05B30 |
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