Choice experiments to improve predictive power for policy makers. In the current economic climate, Australian governments will benefit from superior choice experiments which will lead to improved prediction of the potential public benefit of proposed policy changes. The choice experiments developed here will have a substantial effect on the development of strategies for the promotion and maintenance of a strong health care system as well as being relevant to the maintenance of a sustainable envi ....Choice experiments to improve predictive power for policy makers. In the current economic climate, Australian governments will benefit from superior choice experiments which will lead to improved prediction of the potential public benefit of proposed policy changes. The choice experiments developed here will have a substantial effect on the development of strategies for the promotion and maintenance of a strong health care system as well as being relevant to the maintenance of a sustainable environment, both designated National Research Priority areas. The innovative research proposed will tap into and build strong links with international research networks, advancing Australia's research reputation and providing a rich environment for the training of research graduates.Read moreRead less
Combinatorial structures for computer security and communication. Hadamard matrices in their various guises arise many times in the study of reliable communications and secure communications. The aim of this research project is to use the theory of cyclotomy in both fields and rings to find new number theoretic results which will then be used to obtain new with zero or small autocorrelation functions.
The significance of this research is to propose new construction of Hadamard matrices and bloc ....Combinatorial structures for computer security and communication. Hadamard matrices in their various guises arise many times in the study of reliable communications and secure communications. The aim of this research project is to use the theory of cyclotomy in both fields and rings to find new number theoretic results which will then be used to obtain new with zero or small autocorrelation functions.
The significance of this research is to propose new construction of Hadamard matrices and block designs for computer security and wireless network communication.
We expect some new classes of Hadamard matrices and block designs can be constructed for security and communication applications and several papers would be submitted or published.
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Conceptual Knowledge Processing. The aim of this collaboration between Computer Science and Mathematics disciplines is to develop a theoretical, methodological and practical understanding of how to support a range of tasks concerning conceptual knowledge processing. The view of the project is that knowledge processing takes place primarily in the human mind and that human communication can only be effectively supported by appropriate design means and devices. Developing prototype software that d ....Conceptual Knowledge Processing. The aim of this collaboration between Computer Science and Mathematics disciplines is to develop a theoretical, methodological and practical understanding of how to support a range of tasks concerning conceptual knowledge processing. The view of the project is that knowledge processing takes place primarily in the human mind and that human communication can only be effectively supported by appropriate design means and devices. Developing prototype software that demonstrates these devices in practical domains continues to be a key feature of the collaboration that benefits from existing DFG (Deutsche Forschungsgemeinschaft) support and has been on going since 1999.Read moreRead less
Pyramids and decomposition numbers for the symmetric and general linear groups. This project takes a novel approach to the decomposition number problem for the symmetric and general linear groups by setting up a new framework for computing them using the combinatorics of pyramids. The decomposition numbers of an algebra are an important statistic which gives detailed structural information about its representations. These numbers can be used to compute the dimensions of the irreducible represen ....Pyramids and decomposition numbers for the symmetric and general linear groups. This project takes a novel approach to the decomposition number problem for the symmetric and general linear groups by setting up a new framework for computing them using the combinatorics of pyramids. The decomposition numbers of an algebra are an important statistic which gives detailed structural information about its representations. These numbers can be used to compute the dimensions of the irreducible representations of the algebra and they play an important role in the applications of representation theory to other fields such as knot theory and statistical mechanics.Read moreRead less
Space-Time Block Codes using Orthogonal, Amicable, and General Designs. Space-time coding for multiple transmit and multiple receive antennas is the enabling technology for future wireless communication systems. Multiple antennas provide independent transmission paths resulting in an increased channel capacity without requiring costly additional bandwidth. Space-time block codes lead to the simplest receiver structures and thus to the most economical solutions. The currently known codes are base ....Space-Time Block Codes using Orthogonal, Amicable, and General Designs. Space-time coding for multiple transmit and multiple receive antennas is the enabling technology for future wireless communication systems. Multiple antennas provide independent transmission paths resulting in an increased channel capacity without requiring costly additional bandwidth. Space-time block codes lead to the simplest receiver structures and thus to the most economical solutions. The currently known codes are based on the work of one of the CIs, but so far only a small part of that work has been utilised. We aim to fully exploit the potential of this theory and move the performance of wireless systems towards their theoretical limits.Read moreRead less
Logical Foundation and Implementation Technology for Automated Negotiation. The logic of bargaining is fundamental to understanding human negotiation and multiagent interaction. This project provides a new paradigm of negotiation with the integration of qualitative and quantitative analysis of bargaining processes and enhancement of implementation technologies for negotiation automation and trading agent design. The theoretic approach can be applied to a wide range of areas for the analysis of e ....Logical Foundation and Implementation Technology for Automated Negotiation. The logic of bargaining is fundamental to understanding human negotiation and multiagent interaction. This project provides a new paradigm of negotiation with the integration of qualitative and quantitative analysis of bargaining processes and enhancement of implementation technologies for negotiation automation and trading agent design. The theoretic approach can be applied to a wide range of areas for the analysis of economic, political and social phenomena. The techniques, algorithms and possible patents generated by the project can be directly used by the Australian IT industry for the development of efficient e-trading systems, allowing Australian business to take advantage of new e-market territories.Read moreRead less
Chromatic polynomials, random graphs, and error-correcting codes: a unified approach to graph colouring problems. Through a unified approach involving cutting-edge results on chromatic polynomials, random graphs, matroids, and error-correcting codes, this project will establish the foundations for a rigorous mathematical framework for attempting to provide a short, transparent and illuminating solution to the Four Colour Problem. The project will support developments in computer science and sta ....Chromatic polynomials, random graphs, and error-correcting codes: a unified approach to graph colouring problems. Through a unified approach involving cutting-edge results on chromatic polynomials, random graphs, matroids, and error-correcting codes, this project will establish the foundations for a rigorous mathematical framework for attempting to provide a short, transparent and illuminating solution to the Four Colour Problem. The project will support developments in computer science and statistical mechanics and is likely to have flow-on effects in real-world disciplines such as network communication. This project will also strengthen Australia's international presence in discrete mathematics and will further strengthen ties between Australian and international mathematicians.Read moreRead less
Diversity Improvements in Ultra-Wide Band Communications. The proposed project will facilitate development of new frontier technologies that will most likely form the basis for future optimal usage of bandwidth. It will strengthen Australia's role in the advancement of communication technology for the future. Through involvement in the project, the PhD, Masters, and Honours graduates will acquire knowledge and the skills in widely applicable advanced mathematical theory and methods for the analy ....Diversity Improvements in Ultra-Wide Band Communications. The proposed project will facilitate development of new frontier technologies that will most likely form the basis for future optimal usage of bandwidth. It will strengthen Australia's role in the advancement of communication technology for the future. Through involvement in the project, the PhD, Masters, and Honours graduates will acquire knowledge and the skills in widely applicable advanced mathematical theory and methods for the analysis and design of communication systems. The project will also serve to build new international links and extend existing ones through active involvement of overseas researchers.Read moreRead less
Improving Upper and Lower Bounds on the Order of Large Graphs under Degree and Distance Constraints. Networks govern all aspects of society, including transportation networks, communication networks, computer networks and networks for the distribution of goods etc. - and the theoretical analysis of such networks has become a subject of fundamental importance. Networks can be modelled by graphs. This project will provide new theoretical results which will improve our knowledge of network topologi ....Improving Upper and Lower Bounds on the Order of Large Graphs under Degree and Distance Constraints. Networks govern all aspects of society, including transportation networks, communication networks, computer networks and networks for the distribution of goods etc. - and the theoretical analysis of such networks has become a subject of fundamental importance. Networks can be modelled by graphs. This project will provide new theoretical results which will improve our knowledge of network topologies. The new knowledge will then be utilised in the construction of large graphs with respect to given maximum degree and distance constraints.Read moreRead less