Cryptographic properties of some binary generalized cyclotomic sequences with the length p2

Herein, the cryptographic properties of some generalized cyclotomic sequences, with the period p2, are investigated. Results show that these sequences always possess good balance and linear complexity (larger than half the period). Their autocorrelation functions are shown to be three-valued if p≡3(mod4), and five-valued otherwise. Moreover, the distribution of patterns of length 2 are discussed.