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» On the Existence of Large Sets of t-designs of Prime Sizes
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PKC
2000
Springer
95views Cryptology» more  PKC 2000»
13 years 8 months ago
Selecting Cryptographic Key Sizes
In this article we offer guidelines for the determination of key sizes for symmetric cryptosystems, RSA, and discrete logarithm based cryptosystems both over finite fields and over...
Arjen K. Lenstra, Eric R. Verheul
JCT
2010
77views more  JCT 2010»
13 years 3 months ago
Obtainable sizes of topologies on finite sets
We study the smallest possible number of points in a topological space having k open sets. Equivalently, this is the smallest possible number of elements in a poset having k order ...
Kári Ragnarsson, Bridget Eileen Tenner
COMBINATORICS
2007
55views more  COMBINATORICS 2007»
13 years 5 months ago
A Note on a Problem of Hilliker and Straus
For a prime p and a vector ¯α = (α1, . . . , αk) ∈ Zk p let f (¯α, p) be the largest n such that in each set A ⊆ Zp of n elements one can find x which has a unique repr...
Miroslawa Janczak
BMCBI
2005
103views more  BMCBI 2005»
13 years 5 months ago
Many accurate small-discriminatory feature subsets exist in microarray transcript data: biomarker discovery
Background: Molecular profiling generates abundance measurements for thousands of gene transcripts in biological samples such as normal and tumor tissues (data points). Given such...
Leslie Grate
COMBINATORICS
2000
63views more  COMBINATORICS 2000»
13 years 5 months ago
Some Pairwise Balanced Designs
A pairwise balanced design, B(K; v), is a block design on v points, with block sizes taken from K, and with every pair of points occurring in a unique block; for a fixed K, B(K) i...
Malcolm Greig