6 resultados para Cyclotomic elds

em Queensland University of Technology - ePrints Archive


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The Perth Declaration on Science and Technology Education of 2007 expresses strong concern about the state of science and technology education worldwide and calls on governments to respond to a number of suggestions for establishing the structural conditions for their improved practice. The quality of school education in science and technology has never before been of such critical importance to governments. There are three imperatives for its critical importance. The first relates to the traditional role of science in schooling, namely the identification, motivation and initial preparation of those students who will go on to further studies for careers in all those professional fi elds that directly involve science and technology. A suffi cient supply of these professionals is vital to the economy of all countries and to the health of their citizens. In the 21st century they are recognised everywhere as key players in ensuring that industrial and economic development occurs in a socially and environmentally sustainable way. In many countries this supply is now falling seriously short and urgently needs to be addressed. The second imperative is that sustainable technological development and many other possible societal applications of science require the support of scientifically and technologically informed citizens. Without the support and understanding of citizens, technological development can all too easily serve short term and sectional interests. The longer term progress of the whole society is overlooked, citizens will be confused about what should, and what should not be supported, and reactive and the environment will continue to be destroyed rather than sustained. Sustainable development, and the potential that science and technology increasingly offers, involves societies in ways that can often interact strongly, with traditional values, and hence, making decisions about them involve major moral decisions. All students need to be prepared through their science and technology education to be able to participate actively as persons and as responsible citizens in these essential and exciting possibilities. This goal is far from being generally achieved at present, but pathways to it are now more clearly understood. The third imperative derives from the changes that are resulting from the application of digital technologies that are the most rapid, the most widespread, and probably the most pervasive influence that science has ever had on human society. We all, wherever we live, are part of a global communication society. Information exchange and access to it that have been hitherto the realm of the few, are now literally in the hands of individuals. This is leading to profound changes in the World of Work and in what is known as the Knowledge Society. Schooling is now being challenged to contribute to the development in students of an active repertoire of generic and subject-based competencies. This contrasts very strongly with existing priorities, in subjects like the sciences that have seen the size of a student’s a store of established knowledge as the key measure of success. Science and technology education needs to be a key component in developing these competencies. When you add to these imperatives, the possibility that a more effective education in science and technology will enable more and more citizens to delight in, and feel a share in the great human enterprise we call Science, the case for new policy decisions is compellingly urgent. What follows are the recommendations (and some supplementary notes) for policy makers to consider about more operational aspects for improving science and technology education. They are listed under headings that point to the issues within each of these aspects. In the full document, a background is provided to each set of issues, including the commonly current state of science and technology education. Associated with each recommendation for consideration are the positive Prospects that could follow from such decision making, and the necessary Prerequisites, if such bold policy decisions are to fl ow, as intended, into practice in science and technology classrooms.

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The most costly operations encountered in pairing computations are those that take place in the full extension field Fpk . At high levels of security, the complexity of operations in Fpk dominates the complexity of the operations that occur in the lower degree subfields. Consequently, full extension field operations have the greatest effect on the runtime of Miller’s algorithm. Many recent optimizations in the literature have focussed on improving the overall operation count by presenting new explicit formulas that reduce the number of subfield operations encountered throughout an iteration of Miller’s algorithm. Unfortunately, almost all of these improvements tend to suffer for larger embedding degrees where the expensive extension field operations far outweigh the operations in the smaller subfields. In this paper, we propose a new way of carrying out Miller’s algorithm that involves new explicit formulas which reduce the number of full extension field operations that occur in an iteration of the Miller loop, resulting in significant speed ups in most practical situations of between 5 and 30 percent.

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Research on efficient pairing implementation has focussed on reducing the loop length and on using high-degree twists. Existence of twists of degree larger than 2 is a very restrictive criterion but luckily constructions for pairing-friendly elliptic curves with such twists exist. In fact, Freeman, Scott and Teske showed in their overview paper that often the best known methods of constructing pairing-friendly elliptic curves over fields of large prime characteristic produce curves that admit twists of degree 3, 4 or 6. A few papers have presented explicit formulas for the doubling and the addition step in Miller’s algorithm, but the optimizations were all done for the Tate pairing with degree-2 twists, so the main usage of the high- degree twists remained incompatible with more efficient formulas. In this paper we present efficient formulas for curves with twists of degree 2, 3, 4 or 6. These formulas are significantly faster than their predecessors. We show how these faster formulas can be applied to Tate and ate pairing variants, thereby speeding up all practical suggestions for efficient pairing implementations over fields of large characteristic.

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Miller’s algorithm for computing pairings involves perform- ing multiplications between elements that belong to different finite fields. Namely, elements in the full extension field Fpk are multiplied by elements contained in proper subfields F pk/d , and by elements in the base field Fp . We show that significant speedups in pairing computations can be achieved by delaying these “mismatched” multiplications for an optimal number of iterations. Importantly, we show that our technique can be easily integrated into traditional pairing algorithms; implementers can exploit the computational savings herein by applying only minor changes to existing pairing code.

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Determining entry level competency of new graduates, as they transition from university to practice is not always black and white. Holistic competency emerges as acculturation and experience develops in the workplace. This project, funded by the Dietitians Association Australia (DAA), aimed to develop tools to guide the assessment process. Range variable statements and evidence guides were developed to inform the assessment of DAA Entry Level Competency Standards (ELCS) at university and to define the core fields of study required in Australian university curricula for university accreditation and international benchmarking purposes. Range variables contextualise competency by defining the boundaries for competency and the associated performance criteria. Evidence guides provide the range of contexts and critical aspects of competency which would usually be assessed together. Core fields of study defi ne the underpinning knowledge and skills required in the curriculum to achieve competency. Draft range variable statements and evidence guides were developed against each of the units and elements of the ELCS. Two rounds of consultation occurred with the fourteen Australian universities undertaking dietetic education and the project management committee, via teleconference and email. Core fi elds of study were informed by these consultations, as well as interviews of new graduates about core activities undertaken in their workplace. The final versions of these documents were presented to the project management committee, the Australian Dietetic Council and the DAA Board to be integrated into the DAA Accreditation Manual and website information.

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This short essay examines the relationship between academic research and policy with particular emphasis on the question of whether a critical criminology can engage in academic critique at the same time as engaging in policy oriented research. Recognising that critical criminology falls between theory and politics criminologists are urged to adopt pragmatic, strategic positions as they negotiate their role in contentious debates and practical minefi elds. It is concluded that a critical criminology must try not only to think the unthinkable about crime, but also to speak the unspeakable about the conditions in which and by which it is known.