Group law computations on Jacobians of hyperelliptic Curves

We derive an explicit method of computing the composition step in Cantor’s algorithm for group operations on Jacobians of hyperelliptic curves. Our technique is inspired by the geometric description of the group law and applies to hyperelliptic curves of arbitrary genus. While Cantor’s general composition involves arithmetic in the polynomial ring F_q[x], the algorithm we propose solves a linear system over the base field which can be written down directly from the Mumford coordinates of the group elements. We apply this method to give more efficient formulas for group operations in both affine and projective coordinates for cryptographic systems based on Jacobians of genus 2 hyperelliptic curves in general form.

Its place in property education : where does property law fit into property programs?

Property law is one of the key elements in any property-based degree program. In particular, an understanding of 'property law' is one of the required knowledge fields for inclusion in property programs accredited by professional institutes such as the Royal Institution of Chartered Surveyors, the Appraisal Institute and the Australian Property Institute. Despite the importance of property law as a cornerstone element of all property programs this aspect of the program is often approached from a more generic legal perspective with teaching resources used and pedagogical approach more aligned to the study of law that property. The specificity of this type of program is rarely adequately acknowledged. The question arises as to what the study of 'property law' entails and what the composition of a 'property law' subject should be. Replicating the methodology used by Placid and Weeks (2009) in their examination of the current composition of real estate law courses in the United States, this paper examines the current composition and pedagogical approach adopted by Australian universities based on the study of three Queensland property programs. In particular the curriculum, teaching resources used, assessment and engagement strategies are considered with a view to making improvements to the way these property law courses can be more effectively tailored to property students. It is anticipated that the outcomes of this paper will be of interest to all academics who are responsible for developing and delivering property law subjects and those who manage property programs in Australia and internationally.

Nonprofit Boards in Australia: A Distinctive Governance Appoach

This article reports the findings into patterns of governance on nonprofit boards in Australia. The research surveys 118 boards, upon which serve a total of 1405 directors. The findings indicate that nonprofit boards can mimic some aspects of a shareholder approach to governance. But nonprofit boards, in the main, indicate priorities and activities of a stakeholder approach to governance. The features of `isomorphism' that arise largely stem from legislative requirements in corporate governance. Generally, nonprofit directors are influenced by agenda and motivations that can be differentiated from the influences upon director activity in the corporate sector. The study indicates that nonprofit boards prize knowledge and loyalty to the sector when considering board composition. The survey suggests nonprofits ``compensate'' for the demands placed upon them about fiduciary duty and due diligence responsibilities with the diverse intellectual expertise of non-executive directors. Nonprofit boards possess greater diversity than boards in the corporate sector; they include more women as directors than corporate boards and they include a greater proportion of directors from minority groups. While strategic issues feature significantly as a task of the nonprofit board, they distinguish themselves from their corporate counterparts by engaging in operational management. The findings indicate that, in the main, directors on nonprofit boards deliberate and operate in ways distinctive from their corporate counterparts. Such findings offer a contribution to the reform of Corporations Law in other countries and the likely consequence on boards outside the corporate sector.

Engaging Students in the Implementation of Criterion Referenced Assessment in First Year Law

The Queensland University of Technology (QUT) University Academic Board approved a new QUT Assessment Policy in September 2003, which requires a criterion-referenced approach as opposed to a norm-referenced approach to assessment across the university(QUT,MOPP,2003). In 2004, the QUT Law School embarked upon a process of awareness raising about criterion-referenced assessment amongst staff and from 2004 – 2005 staggered the implementation of criterion-referenced assessment in all first year core undergraduate law units. This paper will briefly discuss the benefits and potential pitfalls of criterion referenced assessment and the context for implementing it in the first year law program, report on student’s feedback on the introduction of criterion referenced assessment and the strategies adopted in 2005 to engage students more fully in criterion referenced assessment processes to enhance their learning outcomes.