Paterson, Maura B. and Stinson, D.R. (2024) Circular external difference families, graceful labellings and cyclotomy. Discrete Mathematics 347 (10), p. 114103. ISSN 0012-365X.
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Abstract
(Strong) circular external difference families (which we denote as CEDFs and SCEDFs) can be used to construct nonmalleable threshold schemes. They are a variation of (strong) external difference families, which have been extensively studied in recent years. We provide a variety of constructions for CEDFs based on graceful labellings (α-valuations) of lexicographic products Cn · K^c_ℓ, where C_n denotes a cycle of length n. SCEDFs having more than two subsets do not exist. However, we can construct close approximations (more specifically, certain types of circular algebraic manipulation detection (AMD) codes) using the theory of cyclotomic numbers in finite fields.
Metadata
| Item Type: | Article |
|---|---|
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Maura Paterson |
| Date Deposited: | 24 May 2024 15:51 |
| Last Modified: | 16 Jun 2024 15:56 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/53573 |
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