We give a combinatorial construction of a one-parameter and a two-parameter family of complete caps in finite projective spaces over GF(2). As an application of our construction w...
In this note we prove the uniqueness of the tight spherical 7-design in R23 consisting of 4600 vectors and with automorphism group 2 ? Co2 as well as the uniqueness of the tight s...
In Theorem 6.1 of [3] it was shown that, when v = r + c - 1, every triple array TA(v, k, rr, cc, k : r ? c) is a balanced grid BG(v, k, k : r?c). Here we prove the converse of thi...
We give an overview of some of the mathematical results of Dominique de Caen. These include a short proof of K?onig's theorem, results on Tur?an numbers, biclique partitions,...
We present a family of hyperelliptic curves whose Jacobians are suitable for cryptographic use, and whose parameters can be specified in a highly efficient way. This is done via co...