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    Characterising bimodal collections of sets in finite groups

    Huczynska, Sophie and Paterson, Maura B. (2019) Characterising bimodal collections of sets in finite groups. Technical Report. Birkbeck, University of London, London, UK.

    Preprint_49_-_Huczynska_and_Paterson_-_Characterising_Bimodal_Collections_of_Sets_in_Finite_Groups.pdf - Draft Version

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    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.


    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


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