The merit factor of Legendre sequences (Corresp.)

Turyn has shown by numerical computation that the merit factor of long Legendre sequences offset by a quarter of their length has in all likelihood the asymptotic value6. The ergodicity postulate is used in this correspondence to calculate that the merit factorFof a Legendre sequence offset by a fractionfof its length has an asymptotic value given by1/F=(2/3)-4|f|+8f², |f|≤ 1/2, which givesF=6for|f|=1/4.