Dan Gordon's Home Page This page is a repository for my mathematical publications. For my online combinatorial databases, see:
Papers organized by subject: Covering DesignsCoverings, (with Douglas Stinson) Asymptotically optimal covering designs, (with Greg Kuperberg, Oren Patashnik and Joel Spencer) New constructions for covering designs, (with Greg Kuperberg and Oren Patashnik) C(12,6,3)=15, (with Oren Patashnik, John Petro and Herb Taylor) Difference SetsA Survey of the Multiplier Conjecture, (with Bernhard Schmidt) On the existence of cyclic difference sets with small parameters, (with Len Baumert) Some restrictions on orders of abelian planar difference sets, The Prime Power Conjecture is true for n < 2,000,000, Coding TheoryOptimal hash functions for approximate closest pairs on the ncube, (with Victor Miller and Peter Ostapenko) Perfect single errorcorrecting codes in the Johnson scheme, A remark on Plotkin's bound, (with Warwick de Launey) Equidistant arithmetic codes and character sums, Perfect multiple errorcorrecting arithmetic codes, Minimal permutation sets for decoding the binary Golay codes, Computational Number TheoryFactoring polynomials over padic fields, (with David Cantor) A survey of fast exponentiation algorithms, Discrete logarithms in GF(p) using the number field sieve Massively parallel computation of discrete logarithms, (with K.S. McCurley) Designing and detecting trapdoors for discrete log cryptosystems, Fast exponentiation with precomputation (with E.F. Brickell, K.S. McCurley and D.B. Wilson) The distribution of Lucas and elliptic pseudoprimes, (with Carl Pomerance) On the number of elliptic pseudoprimes, Pseudoprimes on elliptic curves, MiscellaneousOn the density of the set of known Hadamard orders, (with Warwick de Launey) A Comment on the Hadamard Conjecture, (with Warwick de Launey) Dense admissible sets, (with Gene Rodemich) On sequences without geometric progressions, (with Brienne E. Brown) Degree games for graphs, (with Frank Harary and Robert Robinson) Computing the MordellWeil rank of curves of genus 2, (with David Grant) Percolation in high dimensions, Parallel sorting on Cayley graphs, Hecke operators and the fundamental domain for SL(3,Z), (with D. Grenier and A. Terras)
