DCG
2016
9 years 2 months ago
2016
The main result in the paper is a construction of a simple (in fact, just a union of two squares) set T in the plane with the following property. For every > 0 there if a famil...
DCG
2016
9 years 2 months ago
2016
In [BL] in relation to the unsolved Bang’s plank problem (1951) we obtained a lower bound for the sum of relevant measures of cylinders covering a given d-dimensional convex bod...
DCG
2016
9 years 2 months ago
2016
DCG
2016
9 years 2 months ago
2016
We consider the Betti numbers of an intersection of k random quadrics in RPn . Sampling the quadrics independently from the Kostlan ensemble, as n → ∞ we show that for each i �...
DCG
2016
9 years 2 months ago
2016
In this paper we show that the diameter of a d-dimensional lattice polytope in [0, k]n is at most k − 1 2 d . This result implies that the diameter of a d-dimensional half-integ...
DCC
2016
IEEE
9 years 2 months ago
2016
IEEE
In this paper, we describe a new infinite family of q2 −1 2 -tight sets in the hyperbolic quadrics Q+ (5, q), for q ≡ 5 or 9 mod 12. Under the Klein correspondence, these cor...
DCC
2016
IEEE
9 years 2 months ago
2016
IEEE
Abstract. One of the central challenges for mathematical cryptography is to create a payment system that provides the advantages of cash in a digital world. In this expository arti...
DCC
2016
IEEE
9 years 2 months ago
2016
IEEE
Quantum cryptography is the art and science of exploiting quantum mechanical effects in order to perform cryptographic tasks. While the most well-known example of this discipline...
DCC
2016
IEEE
9 years 2 months ago
2016
IEEE
Planar functions are special functions from a finite field to itself that give rise to finite projective planes and other combinatorial objects. We consider polynomials over a �...