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Two constructions of quaternary Legendre pairs of even length
Published Web Location
https://doi.org/10.5070/C65265417Abstract
We give the first general constructions of even length quaternary Legendre pairs: there is a quaternary Legendre pair of length \((q-1)/2\) for every prime power \(q\) congruent to \(1\) modulo \(4\), and there is a quaternary Legendre pair of length \(2p\) for every odd prime \(p\) for which \(2p-1\) is a prime power.
Mathematics Subject Classifications: 05B20, 05B30
Keywords: Legendre pair, quaternary Legendre pair, Goethals-Seidel sequences, Hadamard matrix