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  • Image encryption using sequ... Image encryption using sequence generated by cyclic group
    Kandar, Shyamalendu; Chaudhuri, Dhaibat; Bhattacharjee, Apurbaa ... Journal of information security and applications, February 2019, 2019-02-00, Volume: 44
    Journal Article
    Peer reviewed

    •A permutation based non-chaotic image encryption technique.•Have used properties of cyclic group to define a sequence (or permutation of a sequence) which is used to perform pixel and bit level ...
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  • Number of terms in the grou... Number of terms in the group determinant
    Yamaguchi, Naoya; Yamaguchi, Yuka Examples and counterexamples, November 2023, 2023-11-00, 2023-11-01, Volume: 3
    Journal Article
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    In this paper, we prove that when the number of terms in the group determinant of order odd prime p is divided by p, the remainder is 1. In addition, we give a table of the number of terms in kth ...
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  • The conjugacy problem and v... The conjugacy problem and virtually cyclic subgroups in the Artin braid group quotient Bn/[Pn,Pn]
    Ocampo, Oscar; Cerqueira dos Santos Júnior, Paulo Cesar Topology and its applications, 04/2021, Volume: 293
    Journal Article
    Peer reviewed

    Let n≥3. In this paper we deal with the conjugacy problem in the Artin braid group quotient Bn/Pn,Pn. To solve it we use systems of equations over the integers arising from the action of Bn/Pn,Pn ...
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  • Bohnenblust–Hille inequalit... Bohnenblust–Hille inequality for cyclic groups
    Slote, Joseph; Volberg, Alexander; Zhang, Haonan Advances in mathematics (New York. 1965), August 2024, 2024-08-00, Volume: 452
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    For any K>2 and the multiplicative cyclic group ΩK of order K, consider any function f:ΩKn→C and its Fourier expansion f(z)=∑α∈{0,1,…,K−1}naαzα, with d:=deg⁡(f) denoting its degree as a multivariate ...
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  • On Schur rings over infinit... On Schur rings over infinite groups III
    Bastian, Nicholas; Misseldine, Andrew Journal of algebraic combinatorics, 12/2023, Volume: 58, Issue: 4
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    In the paper, we develop further the properties of Schur rings over infinite groups, with particular emphasis on the virtually cyclic group Z × Z p , where p is a prime. We provide structure theorems ...
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  • Characterization of subgrou... Characterization of subgroup perfect codes in Cayley graphs
    Chen, Jiyong; Wang, Yanpeng; Xia, Binzhou Discrete mathematics, 20/May , Volume: 343, Issue: 5
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    A subset C of the vertex set of a graph Γ is called a perfect code in Γ if every vertex of Γ is at distance no more than 1 to exactly one vertex of C. A subset C of a group G is called a perfect code ...
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  • On an example of Nagarajan On an example of Nagarajan
    Giokas, Annie; Singh, Anurag K. Journal of algebra, 01/2024, Volume: 638
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    K. R. Nagarajan constructed an example of a formal power series ring of dimension two, over a field of characteristic two, with the action of a cyclic group of order two, such that the ring of ...
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  • On the Explicit Formula for... On the Explicit Formula for Eigenvalues, Determinant, and Inverse of Circulant Matrices
    Aliatiningtyas, Nur; Guritman, Sugi; Wulandari, Teduh JTAM (Jurnal Teori dan Aplikasi Matematika) (Online), 07/2022, Volume: 6, Issue: 3
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    Determining eigenvalues, determinants, and inverse for a general matrix is computationally hard work, especially when the size of the matrix is large enough. But, if the matrix has a special type of ...
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