Dr. James Davis

Professor of Mathematics
206 Jepson Hall
Office: (804) 289-8094

http://www.mathcs.richmond.edu/~jdavis

Teaching:
Calculus
Scientific Calculus
Abstract Algebra

Research:
Algebra
Combinatorics
Error-correcting Codes

Education:
Ph.D., University of Virginia

Selected Publications:

Davis, J., & Poinsot, L. (2008) G-perfect Nonlinear Functions. Designs, Codes and Cryptography, 46:1 January.

Davis J., Crouch, S., & Jedwab, J. (2007) The design of the IEEE 802.12 coding scheme. IEEE Transactions on Communications, October.

Davis, J., Jedwab, J., & Smith, K. (2007) Proof of the Barker array conjecture. Proceedings of the AMS, Vol. 135, 2011-2018.

Davis, J., & Xiang, Q. (2006) New amorphic association schemes. Finite Fields and their Applications, Vol. 12, 595-612.

Davis, J., & Xiang, Q. (2004) Negative Latin square type partial difference sets in nonelementary abelian 2-groups. Journal of London Mathematical Society, Vol. 70 issue 1, 125-141.

Davis, J., & Smeltzer, D. (2003) Exponential numbers of inequivalent difference sets in Z_{2^{s+1}}^2. Journal of Combinatorial Designs, Vol. 11 number 4, 249-259.

Davis, J., & Xiang, Q. (2000) A Family of partial difference sets with Denniston parameters in nonelementary abelian 2-groups. The European Journal of Combinatorics, Vol. 00, 1-8.

Davis, J., & Xiang, Q. (2000) Constructions of low rank relative difference sets in 2-groups using Galois rings. Finite Fields and their Applications 6, 130-145.

Davis, J., & Jedwab, J. "A unified approach to difference sets with gcd(v,n)>1," in T.Helleseth et al.,eds., NATOScience Series C, Difference Sets, Sequences and Their Correlation Properties, Vol. 542, Kluwer Academic Publishers, editor A. Pott and others, 85-112, Dordrecht.

Davis, J., Jedwab, J., & Paterson, K. "Codes, correlations and power control in OFDM," in T.Helleseth et al., eds., NATO Science Series C, Difference Sets, Sequences and Their Correlation Properties, Vol. 542, Kluwer Academic Publishers, editor A. Pott and others, 113-132, Dordrecht.

Davis, J., & Jedwab, J. (1999) A new family of relative difference sets in 2-groups. Designs, Codes, and Cryptography Memorial Volume for Ed Assmus, Vol. 17, 305-312.

Davis, J., & Jedwab, J. (1999) Peak-to-mean power control in OFDM, Golay complementary sequences and Reed-Muller codes, with J.Jedwab, IEEE Transactions on Information Theory, Vol. 45, 2397-2417.

Davis, J.,  & Jedwab, J. (1999) "Some recent developments in difference sets," in K. Quinn, B. Webb, F. Holroyd and C. Rowley, eds., Pitman Research Notes in Mathematics,Combinatorial Designs and their Applications, Addison Wesley Longman, 83-102.