Huczynska, Sophie and Paterson, Maura B. (2019) Characterising bimodal collections of sets in finite groups. Technical Report. Birkbeck, University of London, London, UK.
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Abstract
A collection of disjoint subsets A = {A 1 ,A 2 ,...,A m } of a finite abelian group is said to have the bimodal property if, for any non-zero group element δ, either δ never occurs as a difference between an element of A i and an element of some other set A j , or else for every element a i in A i there is an element a j ∈ A j for some j 6= i such that a i − a j = δ. This property arises in various familiar situations, such as the cosets of a fixed subgroup or in a group partition, and has applications to the construction of optimal algebraic manipulation detection (AMD) codes. In this paper, we obtain a structural characterisation for bimodal collections of sets.
Metadata
| Item Type: | Monograph (Technical Report) |
|---|---|
| Additional Information: | Birkbeck Pure Mathematics Preprint Series #49 |
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Maura Paterson |
| Date Deposited: | 15 Jun 2020 10:46 |
| Last Modified: | 09 Aug 2023 12:48 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/32250 |
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