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
Explicit Construction of Global Function Fields with Many Rational Places. The use of error-correcting codes and cryptosystems is fundamental to the secure and reliable operation of many technological devices that we depend upon in our everyday lives. Essentially invisible, both coding theory and cryptography are essential for banking (ATM machines, e-banking), commerce (e-commerce), defense (cryptography) and entertainment (digital TV and radio, music CDs, DVDs). While certain families of "goo ....Explicit Construction of Global Function Fields with Many Rational Places. The use of error-correcting codes and cryptosystems is fundamental to the secure and reliable operation of many technological devices that we depend upon in our everyday lives. Essentially invisible, both coding theory and cryptography are essential for banking (ATM machines, e-banking), commerce (e-commerce), defense (cryptography) and entertainment (digital TV and radio, music CDs, DVDs). While certain families of "good" codes and cryptosystems can be constructed from specific function fields whose existence is guaranteed by abstract theory, often no actual construction for the function field is currently known. We aim to close this gap, making a greater range of "good" codes and cryptosystems available for practical applications.
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Dynamical systems and iterative decoding of low-density parity-check codes. Modern telecommunication systems are increasingly built on principles of iteration and feedback. By contributing to the knowledge base of iterative telecommunication systems, this project addresses important fundamental problems in the area of telecommunications. The Federal Government has clearly indicated that it recognises the importance that information and communications technology (ICT) plays in the economic and so ....Dynamical systems and iterative decoding of low-density parity-check codes. Modern telecommunication systems are increasingly built on principles of iteration and feedback. By contributing to the knowledge base of iterative telecommunication systems, this project addresses important fundamental problems in the area of telecommunications. The Federal Government has clearly indicated that it recognises the importance that information and communications technology (ICT) plays in the economic and social fabric of Australia, through the recent Innovation Action Plan, Backing Australia's Ability. These technologies are key drivers of the information economy, the spawning of new businesses, the transformation of established industries, the opening up of new export markets, and the creation of new jobs.Read moreRead less
Smart coding for improved performance of complexity constrained devices. The technical innovations of this project have the potential to have an immediate impact on compression technology. The overall expected outcome of the project consists of new compression algorithms for the australian telecommunications industry. The novel outcomes of the project lead to better quality images in video mobile communications applications. As such, the project operates at the forefront of innovative next gener ....Smart coding for improved performance of complexity constrained devices. The technical innovations of this project have the potential to have an immediate impact on compression technology. The overall expected outcome of the project consists of new compression algorithms for the australian telecommunications industry. The novel outcomes of the project lead to better quality images in video mobile communications applications. As such, the project operates at the forefront of innovative next generation mobile video telephony.Read moreRead less
Iterative subspace expansions for space-time adaptive wireless communications, radar and sonar. This project addresses the fundamental challenge of high receiver complexity for bandwidth-efficient, high data-rate wireless communications, radar and sonar. We do this by designing the signal transmissions so that smart receivers can detect the signals in "warp speed". We expect these results to have an immediate impact on the design of next generation communications technologies. Information and Co ....Iterative subspace expansions for space-time adaptive wireless communications, radar and sonar. This project addresses the fundamental challenge of high receiver complexity for bandwidth-efficient, high data-rate wireless communications, radar and sonar. We do this by designing the signal transmissions so that smart receivers can detect the signals in "warp speed". We expect these results to have an immediate impact on the design of next generation communications technologies. Information and Communications Technology (ICT) has been recognised by the Australian Government as a National Research Priority. This research project will contribute to the intellectual property in ICT held by Australia, and help supply Australian industries with the knowledge necessary to participate in the development of frontier technologies.Read moreRead less
Robust transmission, identification and key agreement in communications networks. This project identifies significant, innovative directions to achieve robust data transmission, identification and key agreement in networks. It presents the information and communication technology industry with new and profitable markets, contributing to wealth creation, employment and exports. Immediate benefits are: 1. Contribution to the growing knowledge base and fundamental capabilities in networks; 2. Crea ....Robust transmission, identification and key agreement in communications networks. This project identifies significant, innovative directions to achieve robust data transmission, identification and key agreement in networks. It presents the information and communication technology industry with new and profitable markets, contributing to wealth creation, employment and exports. Immediate benefits are: 1. Contribution to the growing knowledge base and fundamental capabilities in networks; 2. Creation and commercialization of valuable intellectual property; 3. Education of future leading academic and industrial innovators within Australia; 4. High international profile of Australian communications and information technology research.
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Closing the Gap: Fundamental Capacity Limits for Interfering Wireless Networks and Practical Methods to Get There. Enhancing communication networks to achieve broadband data rates is now a national priority. Wireless communications is hugely important, with mobile phones, wireless computers, and wireless Internet access to homes, all rapidly growing areas. This project addresses the fundamental bottleneck of interference between links in wireless networks. Wireless unplugs the user and allows hi ....Closing the Gap: Fundamental Capacity Limits for Interfering Wireless Networks and Practical Methods to Get There. Enhancing communication networks to achieve broadband data rates is now a national priority. Wireless communications is hugely important, with mobile phones, wireless computers, and wireless Internet access to homes, all rapidly growing areas. This project addresses the fundamental bottleneck of interference between links in wireless networks. Wireless unplugs the user and allows him/her to roam, and to set up ad-hoc networks with other users. This research will thus contribute to Australia's increased productivity. Just as importantly, this project addresses fundamental research; it will increase Australia's knowledge base and provide training for students and researchers in how to think about communications problems.Read moreRead less
Efficient Data Transport using Network Coding. Large-scale content distribution is driving the evolution of future Internet, cellular and wireless data networks. This project develops theory and practice underpinning entirely new modes of content distribution. This presents the ICT industry with new and profitable markets, contributing to wealth creation, employment and exports. Immediate benefits to Australia are: Contribution to the growing knowledge base and fundamental capabilities in the im ....Efficient Data Transport using Network Coding. Large-scale content distribution is driving the evolution of future Internet, cellular and wireless data networks. This project develops theory and practice underpinning entirely new modes of content distribution. This presents the ICT industry with new and profitable markets, contributing to wealth creation, employment and exports. Immediate benefits to Australia are: Contribution to the growing knowledge base and fundamental capabilities in the important area of telecommunication networks; Creation and commercialisation of intellectual property; Education of future Australian academic leaders and industrial innovators; Raising the international profile of Australian research in communications and information technology.Read moreRead less
Construction methods and analysis tools for repeat-accumulate error correction codes. Error correction codes play an integral role in digital communications systems, enabling technologies such as compact-disk players, hard-disk drives, high-speed modems, digital audio broadcasting and deep-space communications. This project develops the techniques which underlie the success of next-generation error correction technologies and thus addresses an important and fundamental problem in the area of inf ....Construction methods and analysis tools for repeat-accumulate error correction codes. Error correction codes play an integral role in digital communications systems, enabling technologies such as compact-disk players, hard-disk drives, high-speed modems, digital audio broadcasting and deep-space communications. This project develops the techniques which underlie the success of next-generation error correction technologies and thus addresses an important and fundamental problem in the area of information and communications technology (ICT). The nature of the project presents significant potential for project outcomes to be beneficial to the Australian telecommunications industry in a wide range of application areas including wireless networks, mobile communications, and data storage.
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Information Capacity of High Data Rate Wireless Networks. Future wireless networks must support huge data rates in order to meet
the escalating demands of emerging Internet applications. Required
capacities far exceed those which can be provided by existing wireless
systems. Space-time coding is one very promising new technique which
may provide a solution. In spite of the potentials of this technique,
there are many important practical issues that affect the realizable
capacities. We a ....Information Capacity of High Data Rate Wireless Networks. Future wireless networks must support huge data rates in order to meet
the escalating demands of emerging Internet applications. Required
capacities far exceed those which can be provided by existing wireless
systems. Space-time coding is one very promising new technique which
may provide a solution. In spite of the potentials of this technique,
there are many important practical issues that affect the realizable
capacities. We aim to investigate two such issues: the impact of
channel uncertainty at the receiver, and the impact of multiple access
interference. This research will provide new directions for the design
of wireless data networks.
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