EPSRC Reference: |
EP/X021157/1 |
Title: |
New directions in AMD codes over Galois fields and related structures |
Principal Investigator: |
Huczynska, Dr S |
Other Investigators: |
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Researcher Co-Investigators: |
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Project Partners: |
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Department: |
Mathematics and Statistics |
Organisation: |
University of St Andrews |
Scheme: |
Standard Research - NR1 |
Starts: |
01 January 2023 |
Ends: |
31 December 2023 |
Value (£): |
33,422
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EPSRC Research Topic Classifications: |
Algebra & Geometry |
Fundamentals of Computing |
Logic & Combinatorics |
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EPSRC Industrial Sector Classifications: |
No relevance to Underpinning Sectors |
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Related Grants: |
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Panel History: |
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Summary on Grant Application Form |
As the world's data grows, secure and reliable data transmission presents an ever-increasing challenge. Addressing this requires cryptography, the study of secure communication, underpinned by mathematics. Algebraic manipulation detection (AMD) codes are designed against attacks where adversaries manipulate encoded messages, to trick recipients into wrongly decoding them. Designing the safest-possible AMD codes can be modelled mathematically by objects from combinatorics called external difference families and their generalizations. Up till now, the full potential of Galois field structure for AMD code construction has not been explored. This project will develop a deeper, more extensive structural framework for building optimal AMD codes in Galois fields, Galois domains and Galois rings.
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Key Findings |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
Summary |
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Date Materialised |
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Sectors submitted by the Researcher |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Project URL: |
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Further Information: |
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Organisation Website: |
http://www.st-and.ac.uk |