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Details of Grant 

EPSRC Reference: EP/X021157/1
Title: New directions in AMD codes over Galois fields and related structures
Principal Investigator: Huczynska, Dr S
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Mathematics and Statistics
Organisation: University of St Andrews
Scheme: Standard Research - NR1
Starts: 01 January 2023 Ends: 31 December 2023 Value (£): 33,422
EPSRC Research Topic Classifications:
Algebra & Geometry Fundamentals of Computing
Logic & Combinatorics
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:
Panel DatePanel NameOutcome
06 Jul 2022 EPSRC Mathematical Sciences Small Grants Panel July 2022 Announced
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.
Key Findings
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Summary
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Organisation Website: http://www.st-and.ac.uk