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An improvement on the Delsarte-type LP-bound with application to MUBs

The linear programming (LP) bound of Delsarte can be applied to several problems in various branches of mathematics. We describe a general Fourier analytic method to get a slight improvement on this bound. We then apply our method to the problem of mutually unbiased bases (MUBs) to prove that the Fourier family $F(a,b)$ in dimension 6 cannot be extended to a full system of MUBs.

preprint2014arXivOpen access
M. MatolcsiM. Weiner
math.CO
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Open access2 authors1 topic
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M. MatolcsiM. Weiner

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