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Packings of partial difference sets (Q5048456)

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scientific article; zbMATH DE number 7617373

Language	Label	Description	Also known as
English	Packings of partial difference sets	scientific article; zbMATH DE number 7617373

Statements

scholarly article

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Packings of partial difference sets (English)

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Jonathan Jedwab

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Combinatorial Theory

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publication date

16 November 2022

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full work available at URL

https://arxiv.org/abs/2012.00979

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zbMATH Keywords

finite abelian group

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packing

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partial difference set

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MaRDI profile type

MaRDI publication profile

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On Quasi-Hermitian Varieties

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Translation nets and fixed-point-free group automorphisms

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Tight sets and \(m\)-ovoids of finite polar spaces

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A new infinite family of hemisystems of the Hermitian surface

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Uniform cyclotomy

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A new family of tight sets in \(\mathcal Q^+(5,q)\)

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On two-intersection sets with respect to hyperplanes in projective spaces

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Cyclotomy and strongly regular graphs

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The Geometry of Two-Weight Codes

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Quadratic zero-difference balanced functions, APN functions and strongly regular graphs

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Bent and vectorial bent functions, partial difference sets, and strongly regular graphs

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Generalized Maiorana-McFarland class and normality of \(p\)-ary bent functions

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Strongly regular graphs constructed from \(p\)-ary bent functions

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Abelian and non-abelian Paley type group schemes

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Paley type group schemes and planar Dembowski-Ostrom polynomials

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Partial difference sets and amorphic group schemes from pseudo-quadratic bent functions

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Constructions of partial difference sets and relative difference sets using Galois rings. II

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Combinatorial structures in finite classical polar spaces

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The geometry of some two-character sets

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The simple exceptional group \(G_2(q), q\) even, and two-character sets

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Veronese embedding and two-character sets

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Projective Paley sets

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Intriguing sets of \(\mathcal{W}(5,q)\), \(q\) even

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Intriguing sets of quadrics in \(\mathrm{PG}(5, q)\)

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On intriguing sets of finite symplectic spaces

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Two-character sets arising from gluings of orbits

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Partial difference sets in \(p\)-groups

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A unifying construction for difference sets

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Linking systems in nonelementary abelian groups

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Difference set constructions of DRADs and association schemes

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A family of partial difference sets with Denniston parameters in nonelementary abelian 2-groups

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NEGATIVE LATIN SQUARE TYPE PARTIAL DIFFERENCE SETS IN NONELEMENTARY ABELIAN 2-GROUPS

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Amorphic association schemes with negative Latin square-type graphs

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Galois geometries and coding theory

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Cameron-Liebler line classes with parameter \(x = \frac{q^2 - 1}{2}\)

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Constructions of strongly regular Cayley graphs and skew Hadamard difference sets from cyclotomic classes

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Partial difference sets from quadratic forms and $p$-ary weakly regular bent functions

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Strongly regular graphs from unions of cyclotomic classes

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Cyclotomy over products of finite fields and combinatorial applications

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Sets of type \((a,b)\) from subgroups of \(\Gamma L (1, p^R)\)

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Bent functions, partial difference sets, and quasi-Frobenius local rings

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New partial difference sets in <i>p</i>‐groups

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Rings and constructions of partial difference sets

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New partial difference sets in \(\mathbb{Z}_{p^2}^t\) and a related problem about Galois rings

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A construction of finite Frobenius rings and its application to partial difference sets

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On two character \((q^{7}+q^{5}+q^{2}+1)\)-sets in \(\mathrm{PG}(4,q^{2})\)

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Existence results for translation nets. II

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Partial spreads over \({\mathbb{Z}}_ q\)

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Constructions of Partial Difference Sets and Relative Difference Sets on <i>p</i> -Groups

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Partial Difference Sets with Paley Parameters

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A construction of partial difference sets in \(\mathbb{Z}_{p^ 2}\times \mathbb{Z}_{p^ 2}\times\cdots\times \mathbb{Z}_{p^ 2}\)

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A survey of partial difference sets

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Partial difference sets in \(C_{2^n} \times C_{2^n}\)

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Certain strongly regular Cayley graphs on \(F_{2^{2(2s+1)}}\) from cyclotomy

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Construction of strongly regular Cayley graphs based on three-valued Gauss periods

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New constructions of strongly regular Cayley graphs on abelian non \(p\)-groups

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New strongly regular decompositions of the complete graphs with prime power vertices

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Lifting constructions of strongly regular Cayley graphs

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Strongly regular Cayley graphs from partitions of subdifference sets of the Singer difference sets

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On Jacobi sums, difference sets and partial difference sets in Galois domains

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Some new families of partial difference sets in finite fields

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Strongly regular graphs arising from non-weakly regular bent functions

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Geometric constructions of two-character sets

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Generalizations of partial difference sets from cyclotomy to nonelementary Abelian \(p\)-groups

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Negative Latin square type partial difference sets and amorphic association schemes with Galois rings

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Paley type partial difference sets in non \(p\)-groups

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Paley partial difference sets in groups of order \(n^{4}\) and \(9n^{4}\) for any odd \(n>1\)

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A new family of partial difference sets in 3-groups

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A new product construction for partial difference sets

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Constructions of nested partial difference sets with Galois rings

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New negative Latin square type partial difference sets in nonelementary Abelian 2-groups and 3-groups

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Finite geometry and character theory

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Constructions of partial difference sets and relative difference sets using Galois rings

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All two-weight irreducible cyclic codes?

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Strongly regular graphs associated with ternary bent functions

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Some implications on amorphic association schemes

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New necessary conditions on (negative) Latin square type partial difference sets in abelian groups

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Pseudo-Paley graphs and skew Hadamard difference sets from presemifields

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Constructions of low rank relative difference sets in 2-groups using Galois rings

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Identifiers

zbMATH Open document ID

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10.5070/C61055384

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5048456

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