Upper bounds and constructions of complete Asynchronous channel hopping systems

[1]  Tien-Tsin Wong,et al.  Two new quorum based algorithms for distributed mutual exclusion , 1997, Proceedings of 17th International Conference on Distributed Computing Systems.

[2]  A. T. Butson,et al.  Relative difference sets , 1966 .

[3]  R. C. Bose An Affine Analogue of Singer's Theorem , 1942 .

[4]  Keyu Wu,et al.  Rendezvous sequence construction in Cognitive Radio Ad-Hoc networks based on difference sets , 2013, 2013 IEEE 24th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC).

[5]  R. Tennant Algebra , 1941, Nature.

[6]  Zhaoquan Gu,et al.  Nearly optimal asynchronous blind rendezvous algorithm for Cognitive Radio Networks , 2013, 2013 IEEE International Conference on Sensing, Communications and Networking (SECON).

[7]  Kaigui Bian,et al.  A quorum-based framework for establishing control channels in dynamic spectrum access networks , 2009, MobiCom '09.

[8]  Xuemin Shen,et al.  HC-MAC: A Hardware-Constrained Cognitive MAC for Efficient Spectrum Management , 2008, IEEE Journal on Selected Areas in Communications.

[9]  Daniel Panario,et al.  Handbook of Finite Fields , 2013, Discrete mathematics and its applications.

[10]  D. Jungnickel Finite fields : structure and arithmetics , 1993 .

[11]  Luiz A. DaSilva,et al.  Rendezvous for Cognitive Radios , 2011, IEEE Transactions on Mobile Computing.

[12]  Alexander Pott,et al.  Finite Geometry and Character Theory , 1995 .

[13]  P. Agrawal,et al.  Cognitive Radio Network setup without a Common Control Channel , 2008, MILCOM 2008 - 2008 IEEE Military Communications Conference.

[14]  Yu-Chee Tseng,et al.  Quorum-Based Asynchronous Power-Saving Protocols for IEEE 802.11 Ad Hoc Networks , 2003, 2003 International Conference on Parallel Processing, 2003. Proceedings..

[15]  J. Rotman An Introduction to the Theory of Groups , 1965 .

[16]  Javier Cilleruelo,et al.  Combinatorial problems in finite fields and Sidon sets , 2010, Comb..

[17]  Yue Zhou Multiple factorizations of cyclic groups , 2017, Discret. Math..

[18]  Hai Liu,et al.  Jump-Stay Rendezvous Algorithm for Cognitive Radio Networks , 2012, IEEE Transactions on Parallel and Distributed Systems.

[19]  Kaigui Bian,et al.  Maximizing Rendezvous Diversity in Rendezvous Protocols for Decentralized Cognitive Radio Networks , 2013, IEEE Transactions on Mobile Computing.

[20]  Oriol Sallent,et al.  A novel on-demand cognitive pilot channel enabling dynamic spectrum allocation , 2007, 2007 2nd IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks.

[21]  E. Lander Symmetric Designs: An Algebraic Approach , 1983 .

[22]  Dieter Jungnickel,et al.  Geometry, Combinatorial Designs and Related Structures: Difference sets: an update , 1997 .

[23]  Yue Zhou,et al.  Cayley Graphs of Diameter Two from Difference Sets , 2015, J. Graph Theory.

[24]  Petri Mähönen,et al.  Torus quorum system and difference set-based rendezvous in Cognitive Radio Ad Hoc Networks , 2012, 2012 7th International ICST Conference on Cognitive Radio Oriented Wireless Networks and Communications (CROWNCOM).

[25]  Qing Xiang,et al.  Recent progress in algebraic design theory , 2005, Finite Fields Their Appl..

[26]  Bernhard Schmidt,et al.  Cyclotomic integers and finite geometry , 1999 .

[27]  H. Niederreiter,et al.  Finite Fields: Encyclopedia of Mathematics and Its Applications. , 1997 .

[28]  T. Beth,et al.  Design Theory: Applications of designs , 1999 .

[29]  Kaigui Bian,et al.  Asynchronous channel hopping for establishing rendezvous in cognitive radio networks , 2011, 2011 Proceedings IEEE INFOCOM.

[30]  Xiaotian Chen,et al.  Asynchronous channel hopping systems from difference sets , 2017, Des. Codes Cryptogr..

[31]  L. Ma,et al.  Dynamic open spectrum sharing MAC protocol for wireless ad hoc networks , 2005, First IEEE International Symposium on New Frontiers in Dynamic Spectrum Access Networks, 2005. DySPAN 2005..

[32]  Yue Zhou,et al.  Tiling Groups with Difference Sets , 2015, Electron. J. Comb..