Sciweavers

DCG
2011
13 years 2 months ago
New Classes of Counterexamples to Hendrickson's Global Rigidity Conjecture
We examine the generic local and global rigidity of various graphs in Rd . Bruce Hendrickson showed that some necessary conditions for generic global rigidity are (d + 1)-connected...
Samuel Frank, Jiayang Jiang
DCG
2011
13 years 2 months ago
More Colourful Simplices
We show that any point in the convex hull of each of (d +1) sets of (d +1) points in general position in Rd is contained in at least (d + 1)2/2 simplices with one vertex from each ...
Antoine Deza, Tamon Stephen, Feng Xie
DCG
2011
13 years 2 months ago
Lines Pinning Lines
Boris Aronov, Otfried Cheong, Xavier Goaoc, Gü...
DCG
2011
13 years 2 months ago
Random Geometric Complexes
We study the expected topological properties of ˇCech and Vietoris-Rips complexes built on random points in Rd . We find higher dimensional analogues of known results for connect...
Matthew Kahle
DCC
2011
IEEE
13 years 2 months ago
Some observations on HC-128
In this paper, we use linear approximations of the addition modulo 2n of three n-bit integers to identify linear approximations of g1, g2, the feedback functions of HC-128. This, i...
Subhamoy Maitra, Goutam Paul, Shashwat Raizada, Su...
DCC
2011
IEEE
13 years 2 months ago
On the correlation distribution of Delsarte-Goethals sequences
For odd integer m ≥ 3 and t = 0, 1, . . . , m−1 2 , we define Family V (t) to be a set of size 2m(t+1) containing binary sequences of period 2m+1 − 2. The nontrivial correl...
Kai-Uwe Schmidt
DCC
2011
IEEE
13 years 2 months ago
Quaternary Golay sequence pairs II: odd length
A 4-phase Golay sequence pair of length s ≡ 5 (mod 8) is constructed from a Barker sequence of the same length whose even-indexed elements are prescribed. This explains the orig...
Richard G. Gibson, Jonathan Jedwab
DCC
2011
IEEE
13 years 2 months ago
Directed graph representation of half-rate additive codes over GF(4)
We show that (n, 2n ) additive codes over GF(4) can be represented as directed graphs. This generalizes earlier results on self-dual additive codes over GF(4), which correspond to ...
Lars Eirik Danielsen, Matthew G. Parker