Recent publications on codes, designs, and their applications

• D. Jungnickel and V.D. Tonchev, Polarities, quasi-symmetric designs, and Hamada's conjecture, Designs, Codes and Cryptography 51 (2009), 131-140.
• V. D. Tonchev, Quantum Codes from Caps, Discrete Math 308 (2008), 6368-6372.
• V.D. Tonchev, Steiner systems for two-stage disjunctive testing, J. Combin. Optimization, 15 (2008), 1-6.
• Y. Mutoh and V.D. Tonchev, Difference systems of sets and cyclotomy, Discrete Math., 308 (2008), 2959-2969.
• C. Sarami and V.D. Tonchev, Cyclic quasi-symmetric designs and self-orthogonal codes of length 63, J. Statist. Planning and Inference, 138 (2008), 80-85.
• V.C. Mavron , T.P. McDonough, and V.D. Tonchev, On affine designs and Hadamard designs with line spreads, Discrete Math., 308 (2008), 2742-2750.
• V.D. Tonchev and H. Wang, An Algorithm for Optimal Difference Systems of Sets, J. Combin. Optimization, vol. 14 (2007), 165-175.
• Masakazu Jimbo, Miwako Mishima, Susan Janiszewski, Amin Y. Teymorian, and Vladimir D. Tonchev, On Conflict-Avoiding Codes of Length n=4m for Three Active Users, IEEE Transactions on Information Theory , vol. 53, No. 8, August 2007, 2732-2742.
• V.D. Tonchev, On Affine Designs and GMW Difference Sets, in: Finite Geometries, Groups, and Computation, A. Hulpke, R. Liebler, T. Penttila and A. Seress eds., Walter de Gruyter, Berlin - New York, 2006, pp. 237-245.
• V. D. Tonchev and H. Wang, Optimal Difference Systems of Sets with Multipliers, Lecture Notes in Computer Science, vol. 3967 (2006), 612-618.
• R. Fuji-Hara, A. Munemasa and V.D. Tonchev, Hyperlane partitions and difference systems of sets, J. Combin. Theory , Ser. A, vol. 113 (2006), 1689-1698.
• H. Wang, A new bound for difference systems of sets, Journal of Combinatorial Mathematics and Combinatorial Computing , vol. 58 (2006), 161-167.
• V.D. Tonchev, Affine designs and linear orthogonal arrays, Discrete Math. 294 (2005), 219-222.
• V.D. Tonchev, Partitions of difference sets and code synchronization, Finite Fields and Their Appl. 11 (2005), 601-621.
• M. Harada, A. Munemasa and V.D. Tonchev, A Characterization of Designs Related to an Extremal Doubly-Even Self-Dual Code of Length 48, Annals of Combinatorics 9 (2005), 189-198.
• V.D. Tonchev, On generalized Hadamard matrices of minimum rank, Finite Fields and Their Appl. 10 (2004), 522-529.
• A. Munemasa and V.D. Tonchev, A new quasi-symmetric 2-(56,16,6) design obtained from codes, Discrete Math 29 (2004), 231-234.
• V. D. Tonchev, Difference systems of sets and code synchronization, Rendiconti del Seminario Matematico di Messina , Series II, vol. 9 (2003), 217-226.
  
  
         Tables of DSS (Difference Systems of Sets).
  
         G(n) Graph Generator.
  
         Tables of Conflict-Avoiding Codes.