183
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ANTS
2010
Springer
15 years 10 months ago
2010
Springer
Abstract. We show that a specific even unimodular lattice of dimension 80, first investigated by Schulze-Pillot and others, is extremal (i.e., the minimal nonzero norm is 8). Thi...
400
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ANTS
2010
Springer
15 years 10 months ago
2010
Springer
: We establish a conjecture of Brizolis that for every prime p > 3 there is a primitive root r and an integer t in the interval [1, p − 1] with logr t = t. Here, logr is the d...
169
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ANTS
2010
Springer
15 years 10 months ago
2010
Springer
Abstract. We answer a question asked by Hajdu and Tengely: The only arithmetic progression in coprime integers of the form (a2 , b2 , c2 , d5 ) is (1, 1, 1, 1). For the proof, we ...
181
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ANTS
2010
Springer
15 years 10 months ago
2010
Springer
Let p be a rational prime and let Φ(X) be a monic irreducible polynomial in Z[X], with nΦ = deg Φ and δΦ = vp(disc Φ). In [13] Montes describes an algorithm for the decomposi...
181
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ANTS
2010
Springer
15 years 10 months ago
2010
Springer
Lattices over number elds arise from a variety of sources in algorithmic algebra and more recently cryptography. Similar to the classical case of Z-lattices, the choice of a nice,...
147
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COCO
2009
Springer
15 years 10 months ago
2009
Springer
Every Boolean function on n variables can be expressed as a unique multivariate polynomial modulo p for every prime p. In this work, we study how the degree of a function in one c...
142
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COCO
2009
Springer
15 years 10 months ago
2009
Springer
We give polynomial time computable extractors for low-weight affince sources. A distribution is affine if it samples a random points from some unknown low dimensional subspace of ...