Construction of Synchronous-Symmetric Channel-Hopping Sequences Over Galois Extension Field for Cognitive Radio Networks

In this letter, a new family of synchronous-symmetric channel-hopping sequences over Galois extension field is constructed. Besides having enlarged cardinality, full degree-of-rendezvous (DoR), and optimal maximum-time-to-rendezvous (MTTR), they also satisfy the channel-overlap, even-channel-use, and full-channel-utilization design criteria, and thus provide a flexible balance between cardinality, period, DoR, and MTTR for cognitive radio networks.