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NA
2008
78views more  NA 2008»
13 years 9 months ago
A walk through energy, discrepancy, numerical integration and group invariant measures on measurable subsets of euclidean space
(A) The celebrated Gaussian quadrature formula on finite intervals tells us that the Gauss nodes are the zeros of the unique solution of an extremal problem. We announce recent re...
S. B. Damelin
ANTS
2008
Springer
106views Algorithms» more  ANTS 2008»
13 years 11 months ago
Computing in Component Groups of Elliptic Curves
Let K be a p-adic local field and E an elliptic curve defined over K. The component group of E is the group E(K)/E0(K), where E0(K) denotes the subgroup of points of good reduction...
J. E. Cremona
ASIACRYPT
2008
Springer
13 years 11 months ago
Graph Design for Secure Multiparty Computation over Non-Abelian Groups
Recently, Desmedt et al. studied the problem of achieving secure n-party computation over non-Abelian groups. They considered the passive adversary model and they assumed that the...
Xiaoming Sun, Andrew Chi-Chih Yao, Christophe Tart...
STOC
2005
ACM
158views Algorithms» more  STOC 2005»
14 years 9 months ago
Polynomial time quantum algorithm for the computation of the unit group of a number field
We present a quantum algorithm for the computation of the irrational period lattice of a function on Zn which is periodic in a relaxed sense. This algorithm is applied to compute t...
Arthur Schmidt, Ulrich Vollmer
MOC
2002
113views more  MOC 2002»
13 years 8 months ago
Computation of several cyclotomic Swan subgroups
Let Cl(OK [G]) denote the locally free class group, that is the group of stable isomorphism classes of locally free OK [G]-modules, where OK is the ring of algebraic integers in th...
Timothy Kohl, Daniel R. Replogle