CONSTRUCTIONS OF MISMATCHED BINARY PERIODIC COMPLEMENTARY PAIRS

Two mismatched binary sequences are called a mismatched binary periodic complementary pair (MB-PCP) if the sum of their periodic cross correlation functions is a delta function. Such a pair is a generalization of the well-known Golay sequence pair, and has applications in the scenario where the mismatched filter is used. Up to now, there are only MB-PCPs of length 3q with peak value 4 or 2q - 6, where q equivalent to 3 (mod 4) is a prime. The objective of this paper is to construct four families of MB-PCPs of length pq via the generalized cyclotomy and the Chinese Remainder Theorem, where p and q are two different odd primes.