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arxiv: 1206.5371 · v2 · pith:DQI2BFZNnew · submitted 2012-06-23 · 🧮 math.NT

A note on Barker polynomials

classification 🧮 math.NT
keywords barkergreaterpolynomialsconsequencedegreeevenexistfact
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We give a new proof of the fact that Barker polynomials of even degree greater than 12, and hence Barker sequences of odd length greater than 13 do not exist. This is intimately tied to irreducibility questions and proved as a consequence of a new result.

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