Let K/k be a finite extension of a global field. Such an extension can be generated over k by a single element. The aim of this article is to prove the existence of a ”small“ generator in the function field case. This answers the function field version of a question of Ruppert on small generators of number fields.

XL was first introduced to solve determined or overdetermined systems of equations over a finite field as an “algebraic attack” against multivariate cryptosystems. There has been a steady stream of announcements of cryptanalysis of primitives by such attacks, including stream ciphers (e.g. Toyocrypt), PKC’s, and more controversially block ciphers (AES/Rijndael and Serpent). Prior discussions of...

This thesis studies the implications of using public key cryptographic primitives that are based in, or map to, the multiplicative group of finite fields with small extension degree. A central observation is that the multiplicative group of extension fields essentially decomposes as a product of algebraic tori, whose properties allow for improved communication efficiency. Part I of this thesis ...

2014 The shielding properties of a superconducting lead shell have been investigated in fields of the order of 10-4 gauss. The small ambient fields were obtained with a room size 03BC-metal shield. Fields of less than 2 microgauss were obtained over a sphere of 7.5 cm diameter. This region is at room temperature and is suitable for magnetometer testing. REVUE DE PHYSIQUE APPLIQUÉE TOME 5, FÉVRI...

I present a recent review of work which attempts to describe the small x part of a hadron wavefunction in terms of classical gluon elds. I try to motivate this approach, describe the class of problems which might be solved, and the current status of the method. In this talk and a later one by Pivovarevv1] at this meeting, you will hear of attempts to describe the small x part of the hadron wave...

We extend the classi cation of the Bruen chains to all elds of order at most 49, by showing the non-existence of Bruen chains over the elds of order 41, 43, 47 and 49. c © 2004 Elsevier B.V. All rights reserved.

A popular model for jet collimation is associated with the presence of a largescale and predominantly toroidal magnetic field originating from the central engine (a star, a black hole, or an accretion disk). Besides the problem of how such a large-scale magnetic field is generated, in this model the jet suffers from the fatal long-wave mode kink magnetohydrodynamic instability. In this paper we...

We have investigated the ground and excited state properties of two electron atoms using our Fixed-Phase method, including an analysis of exchange and correlation. We present results of our calculations with a trial phase which corresponds to the atomic Hartree-Fock one.

In the paradigm of network coding, the information-theoretic security problem is encountered in the presence of a wiretapper, who has capability of accessing an unknown channel-subset in communication networks. In order to combat this eavesdropping attack, secure network coding is introduced to prevent information from being leaked to adversaries. For any construction of secure linear network c...

background: radiosurgery is a focal brain irradiation technique that delivers, usually in a single session, high dose of ionizing radiation. the presence of lateral electronic disequilibrium and steep dose gradients in small fields demands special attention to the selection of a suitable detector with respect to its size, composition and response. materials and methods : small circular fields w...