turkmath.org

Pseudorandom sequences over finite fields are important for many applications in communications systems, in coding theory, and in cryptography. There is a demand for large families of sequences having good correlation properties in CDMA (code-division multiple access) applications. The problem of determining the correlation values and also their distributions are related with the number of solutions of linearized equations over finite fields. In this talk we present this relations and the exact number of solutions of certain linearized equations depending on the coefficients of that equation