The security of elliptic curve cryptosystem depends on the choice of an elliptic curve on which cryptographic operations are performed. Schoof’s algorithm is used to define a secure elliptic curve, as it can compute the number of rational points on a randomly selected elliptic curve defined over a finite field. By realizing efficient combination of several improvements, such as Atkin-Elkies’s m...

Previous workers have shown that intergeneric crosses between Salmonella typhimurium and Escherichia coli produce a high proportion of merodiploid recombinants among the viable progeny. We have examined the unequal crossover event that was responsible for a number of intergeneric merodiploids. The merodiploids that we studied were all heterozygous for the metB-argH interval and were the product...

Manuel Tiglio, Luis Lehner, and David Neilsen Department of Physics and Astronomy, Louisiana State University, 202 Nicholson Hall, Baton Rouge, Louisiana 70803-4001, USA Center for Computation and Technology, 302 Johnston Hall, Louisiana State University, Baton Rouge, Louisiana 70803-4001, USA Center for Radiophysics and Space Research, Cornell University, Ithaca, NY 14853, USA Department of Ph...

M.R. Pratt, C. Alcock, R.A. Allsman , D. Alves, T.S. Axelrod , A.C. Becker, D.P. Bennett, K.H. Cook, K.C. Freeman , K. Griest, J. Guern, M.J. Lehner, S.L. Marshall, B.A. Peterson, P.J. Quinn, A.W. Rodgers , C.W. Stubbs, W. Sutherland and D.L Welch Astronomy, Box 351580, University of Washington, Seattle, WA 98195-1580 Center for Particle Astrophysics, University of California Berkeley, Berkeley...

Christophe Josserand, Martine Le Berre, Thierry Lehner and Yves Pomeau 1 Sorbonne Universités, CNRS & UPMC Univ Paris 06, UMR 7190, Institut Jean Le Rond d’Alembert, F-75005, Paris, France. 2 Institut des Sciences Moléculaires d’Orsay ISMO-CNRS Université Paris-Sud Bat. 210 91405 Orsay Cedex, France. 3 Observatoire de Paris, LUTH, France. 4 Department of Mathematics University of ArizonaTucson ...

This series of occasional articles provides an update on the best use of key diagnostic tests in the initial investigation of common or important clinical presentations. The series advisers are Steve Atkin, professor, head of department of academic endocrinology, diabetes, and metabolism, Hull York Medical School; and Eric Kilpatrick, honorary professor, department of clinical biochemistry, Hul...

Perovskite Solar Cells In article 2208061, Lukas E. Lehner, Martin Kaltenbrunner, and co-workers report the controlled nucleation of quasi-2D perovskites at liquid–air interface precursor solution. Restricting initial crystal growth to surface liquid results in highly aligned perovskite thin films with improved charge transport, enabling efficient solar cells excellent stability.

Let E be an elliptic curve defined over Fq, the finite field of q elements. We show that for some constant η > 0 depending only on q, there are infinitely many positive integers n such that the exponent of E(Fqn), the group of Fqn-rational points on E, is at most q exp ( −n log logn ) . This is an analogue of a result of R. Schoof on the exponent of the group E(Fp) of Fp-rational points, when a...

We make an attempt to compare the speed of eeme primality testing algorithms for certifying loo-digit prime numbers.