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DCC
2005
IEEE
14 years 4 months ago
A Family of Complete Caps in PG(n, 2)
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...
Petr Lisonek, Mahdad Khatirinejad
DCC
2005
IEEE
14 years 4 months ago
A Note on the Tight Spherical 7-Design in R23 and 5-Design in R7*
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...
Hans Cuypers
DCC
2005
IEEE
14 years 4 months ago
Double Arrays, Triple Arrays and Balanced Grids with v=r+c - 1
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...
John P. McSorley
DCC
2005
IEEE
14 years 4 months ago
The Combinatorics of Dom de Caen
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,...
Edwin R. van Dam
DCC
2005
IEEE
14 years 4 months ago
Hyperelliptic Curves with Compact Parameters
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...
Ezra Brown, Bruce T. Myers, Jerome A. Solinas