Algebraic Methods in Design and Analysis of Stream Ciphers. The project investigates the problem of communication security in the mobile environment where both confidentiality and authenticity are of prime concern. Stream ciphers are a very natural choice in mobile environment as they provide an efficient cryptographic protection using a limited computing resources. We model stream cipher as a system of multivariate equations. In this approach, security of stream ciphers can be measured as the c ....Algebraic Methods in Design and Analysis of Stream Ciphers. The project investigates the problem of communication security in the mobile environment where both confidentiality and authenticity are of prime concern. Stream ciphers are a very natural choice in mobile environment as they provide an efficient cryptographic protection using a limited computing resources. We model stream cipher as a system of multivariate equations. In this approach, security of stream ciphers can be measured as the complexity of an algorithm that solves the appropriate system of equations. This project leads to new techniques for the design and analysis of stream ciphers.Read moreRead less
Algebraic Models of Stream Ciphers. The project investigates communication security in the mobile environment where both confidentiality and authenticity are of a prime concern. Stream ciphers are a natural choice in mobile environments as they provide an efficient cryptographic protection using a limited computing resources. We treat stream ciphers as algebraic objects whose properties fully determine their cryptographic strength. We first analyse existing stream ciphers showing their algebraic ....Algebraic Models of Stream Ciphers. The project investigates communication security in the mobile environment where both confidentiality and authenticity are of a prime concern. Stream ciphers are a natural choice in mobile environments as they provide an efficient cryptographic protection using a limited computing resources. We treat stream ciphers as algebraic objects whose properties fully determine their cryptographic strength. We first analyse existing stream ciphers showing their algebraic properties and later we derive a design methodology for provably secure stream ciphers. The project leads to new secure and efficient designs for stream ciphers that are the preferred cryptographic tools used in Australian industry.Read moreRead less
Algebraic Analysis of Cryptosystems. This project studies an (new) algebraic approach to cryptanalysis of modern block ciphers. The approach works for all cryptosystems that use either small S-boxes, or their algebraic structure can be described by a system of overdefined quadratic equations. The cryptosystems that are potentially breakable using this approach are Rijndael and Serpent - the two top finalists of the Advanced Encryption Standard contest. The project also explores how this approach ....Algebraic Analysis of Cryptosystems. This project studies an (new) algebraic approach to cryptanalysis of modern block ciphers. The approach works for all cryptosystems that use either small S-boxes, or their algebraic structure can be described by a system of overdefined quadratic equations. The cryptosystems that are potentially breakable using this approach are Rijndael and Serpent - the two top finalists of the Advanced Encryption Standard contest. The project also explores how this approach can be applied to design new and more powerful factoring algorithms. The project has an explosive potential to redefine the theory and practice of modern cryptography.Read moreRead less
Secure and Efficient Cryptographic Hashing. This project will enhance information security, which is absolutely crucial for rapidly growing e-commerce, e-government services and for national security (Priority 4 -Safeguarding Australia - Protection against Terrorism and Crime). The project will strengthen international collaboration by reciprocal exchange of researchers and postgraduate students leading to more attractive and productive research environment. At the same time, the project will he ....Secure and Efficient Cryptographic Hashing. This project will enhance information security, which is absolutely crucial for rapidly growing e-commerce, e-government services and for national security (Priority 4 -Safeguarding Australia - Protection against Terrorism and Crime). The project will strengthen international collaboration by reciprocal exchange of researchers and postgraduate students leading to more attractive and productive research environment. At the same time, the project will help to maintain high research profile of Australian researchers, to increase the capacity for consultancy and contract work, and provide a cutting-edge information technology for the Australian telecommunications industry, business and government (Priority 3 - Frontier Technologies). Read moreRead less
Lattices as a constructive and destructive cryptographic tool. The project is driven by the great number of potential applications of deep mathematical and algorithmic methods to different areas of modern cryptography. These areas provide a solid platform for more applied fields such as Computer and Information Security and E-commerce. It will lead to commercialisation and everyday-life improvements.
Homomorphic cryptography: computing on encrypted data. This project is driven by the groundbreaking applications of a new cryptographic technology that allows analysis of encrypted (scrambled) data without needing to decrypt (unscramble) it first. The results of this project can be used to enable secure remote data storage, electronic auctions and voting, and protecting medical records.