A new approach to compressed sensing. Compressed sensing is an exciting new paradigm promising vastly improved signal sampling and reconstruction in a wide variety of applications including digital cameras, mobile phones and MRI machines. This project will explore a newly discovered approach to compressed sensing which uses mathematical arrays known as hash families.
Explicit methods in number theory: Computation, theory and application. This project aims to use explicit estimates to unify three problems in number theory: primitive roots, Diophantine quintuples, and linear independence of zeroes of the Riemann zeta-function. It will use computational and analytic number theory to reduce the quintuples problem to a soluble level. Pursuing relations between the zeta zeroes will overhaul many current results. This project will apply its findings about primitive ....Explicit methods in number theory: Computation, theory and application. This project aims to use explicit estimates to unify three problems in number theory: primitive roots, Diophantine quintuples, and linear independence of zeroes of the Riemann zeta-function. It will use computational and analytic number theory to reduce the quintuples problem to a soluble level. Pursuing relations between the zeta zeroes will overhaul many current results. This project will apply its findings about primitive roots to signal processing, cryptography and cybersecurity.Read moreRead less
Approximate authentication systems for digital information. Assurance about the origin and integrity of digital content is crucial not only in high security applications but also in everyday life scenarios such as providing proof that an X-ray image presented as part of an insurance claim is authentic, or a news clip is not tampered with. The outcomes of this project will significantly enhance trustworthiness of multimedia information systems which are increasingly used in areas such as surveil ....Approximate authentication systems for digital information. Assurance about the origin and integrity of digital content is crucial not only in high security applications but also in everyday life scenarios such as providing proof that an X-ray image presented as part of an insurance claim is authentic, or a news clip is not tampered with. The outcomes of this project will significantly enhance trustworthiness of multimedia information systems which are increasingly used in areas such as surveillance (traffic control), health, digital content production and distribution, tourism and journalism. It will also result in the development of secure biometric authentication systems which are critical in securing cyber space.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE120100040
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
Partitioning and ordering Steiner triple systems. Steiner triple systems are fundamental mathematical objects with many real-world applications. This project will develop deep new insights into these objects, resulting in systems allowing many users to simultaneously use a communication channel, and in schemes for preventing the loss of computer data due to hard disk failures.