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Construction of Difference Sets from Unions of Cyclotomic Classes of Order N=14
Recoletos Multidisciplinary Research Journal, 2022 Let G be an additive group of order v, D be a non-empty proper k-subset of G, and λ be any integer. Then D is a (v, k, λ) - difference set if every nonzero element of the group can be expressed as a difference d1 - d2 of elements of D in exactly
Benedict Estrella
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Journal of Combinatorial Theory, Series A, 1998 Let \(G\) be a group not necessary abelian, and \(N\) a normal subgroup of \( G\). Suppose there is a \((v,k,\lambda)\)-DS in \(G\). Bounds on \(| N| \) and \(\lambda\) are given in terms mainly of \(k-\lambda\) under (strong) assumptions on the structure and the order of \(G/N\) using group rings.
Hikoe Enomoto +2 more
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Supplementary difference sets and optimal designs [PDF]
, 1991 D-optimal designs of order n = 2 v ≡ 2 (mod 4), where q is a prime power and v = q2 + q + 1 are constructed using two methods, one with supplementary difference sets and the other using projective planes more directly.An infinite family of Hadamard ...
Kounias, Stratis +5 more
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A class of symmetric difference-closed sets related to commuting involutions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 To appear in Volume 19 of DMTCS.
John Campbell
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Neutrosophic Sets and Systems [PDF]
, 2013 Neutrosophic Sets and Systems has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as ...
Smarandache, Florentin (Editor-in-Chief)
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New lower bounds for cardinalities of higher dimensional difference sets and sumsets
Discrete Analysis, 2022 New lower bounds for cardinalities of higher dimensional difference sets and sumsets, Discrete Analysis 2022:15, 19 pp. Let $A$ be a finite subset of an Abelian group $G$.
Akshat Mudgal
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Difference Equations and Julia Sets of Several Functions for Degenerate q-Sigmoid Polynomials
Fractal and Fractional, 2023 In this article, we construct a new type of degenerate q-sigmoid (DQS) polynomial for sigmoid functions containing quantum numbers and find several difference equations related to it.
Jung-Yoog Kang, Cheon-Seoung Ryoo
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The difference vectors for convex sets and a resolution of the geometry conjecture
Open Journal of Mathematical Optimization, 2021 The geometry conjecture, which was posed nearly a quarter of a century ago, states that the fixed point set of the composition of projectors onto nonempty closed convex sets in Hilbert space is actually equal to the intersection of certain translations ...
Alwadani, Salihah +3 more
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IEEE Access, 2019 Difference systems of sets (DSS) and frequency-hopping sequences (FHS) are two objects with many applications in wireless communication. Zero-difference balanced function (ZDBF) and near zero-difference balanced functions (NZDBF) are two types of ...
Zongxiang Yi, Chunming Tang
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Circulants and Difference Sets [PDF]
Proceedings of the American Mathematical Society, 1983 Let F F be any field,
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