2024/08/16 by Jonathan Jedwab, Jedwab, Jonathan, Thomas Pender +1
Mathematics · Physics and Astronomy · #05B20 #05B30 #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Mathematics and Applications #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2408.08472
openalex publication_date 2024/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.