A new, unambiguous, cost-effective discriminator is introduced that maintains the multipath mitigation property of binary offset carrier (BOC) $(n,n)$ signals such as BOC(1,1). The multipath mitigation performance of different discriminators is evaluated, including the "BOC-PRN (\RE+L)" discriminator proposed previously by the authors, and examines the associated noncoherent tracking structures. The new discriminator is based on gating of the correlation reference function and on the concept of BOC-PRN, where the BOC signal is correlated not with itself but with the pseudorandom noise (PRN) code only, and is a compromise between low complexity and high performance in terms of multipath and code tracking.