Jonathan Jedwab, Thomas Pender
Published 2024-08-16Version 1
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.
Groups of type L_2(q) acting on polytopes
The number of lines in a matroid with no $U_{2,n}$-minor
Cyclic $m$-DCI-groups and $m$-CI-groups
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