TY - CONF TI - New results on the linear complexity of binary sequences AU - Limniotis, Konstantinos AU - Kolokotronis, Nicholas AU - Kalouptsidis, AU - Nicholas PY - 2006 SP - 2003+ PB - IEEE Comput. Soc T2 - 2006 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1-6, PROCEEDINGS TODO - 10.1109/ISIT.2006.261900 TODO - null TODO - The complexity of binary sequences generated by state-space systems is studied in this paper via utilization of system theoretic concepts. Application of controllability and observability conditions lead to a new block-trace representation of binary sequences enabling the efficient generation of sequences with maxmium period and linear complexity. These arguments are also used to study nonlinearly filtered m-sequences, resulting in a new type of filters that achieve the same lower bound for the linear complexity as Rueppel’s equidistant filters. ER -