Three new lengths for cyclic Legendre pairs

Abstract

There are 20 odd integers v less than 200 for which the existence of Legendre pairs of length v is undecided. The smallest among them is v=77. We have constructed Legendre pairs of lengths 91, 93 and 123 reducing the number of undecided cases to 17.

10 pages

References in corpus (2)

• Three new lengths for cyclic Legendre pairs
• Legendre $G$-array pairs and the theoretical unification of several $G$-array families

Cited by in corpus (2)

• Legendre pairs of lengths $\ell \equiv 0$ (mod $3$)
• Three new lengths for cyclic Legendre pairs