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DCC
2005
IEEE
15 years 11 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
15 years 11 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
63
Voted
DCC
2005
IEEE
15 years 11 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
15 years 11 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
73
Voted
DCC
2005
IEEE
15 years 11 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