Search Results - "Svob, Andrea"
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New symmetric 2-(176,50,14) designs
Published in Discrete mathematics (01-12-2021)“…In this paper, we construct two new symmetric designs with parameters 2-(176,50,14) as designs invariant under certain subgroups of the full automorphism group…”
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2
A construction of directed strongly regular graphs with parameters (63,11,8,1,2)
Published in Discrete mathematics (01-11-2024)“…In this paper, we prove the existence of directed strongly regular graphs with parameters (63,11,8,1,2). We construct a pair of nonisomorphic…”
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3
Constructing doubly even self-dual codes and even unimodular lattices from Hadamard matrices
Published in Applicable algebra in engineering, communication and computing (14-07-2023)Get full text
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Transitive distance-regular graphs from linear groups $L(3,q)$, $q = 2,3,4,5
Published in Transactions on combinatorics (01-03-2020)“…In this paper we classify distance-regular graphs, including strongly regular graphs, admitting a transitive action of the linear groups $L(3,2)$,…”
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5
q-analogs of strongly regular graphs
Published in Linear algebra and its applications (15-07-2024)“…We introduce the notion of q-analogs of strongly regular graphs and give several examples of such structures. We prove a necessary condition on the parameters,…”
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On Hadamard $ 2 $-$ (51, 25, 12) $ and $ 2 $-$ (59, 29, 14) $ designs
Published in AIMS mathematics (01-01-2024)“…In this paper, we classified Hadamard $ 2 $-$ (51, 25, 12) $ designs having a non-abelian automorphism group of order 10, i.e., $ {\rm{Frob}}_{10} \cong…”
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7
New example of strongly regular graph with parameters (81,30,9,12) and a simple group A5 as the automorphism group
Published in Examples and counterexamples (01-12-2023)“…A new strongly regular graph with parameters (81,30,9,12) is found as a graph invariant under certain subgroup of the full automorphism group of the previously…”
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Neighbour-transitive codes in Kneser graphs
Published in Journal of combinatorial theory. Series A (01-05-2024)“…A code C is a subset of the vertex set of a graph and C is s-neighbour-transitive if its automorphism group Aut(C) acts transitively on each of the first s+1…”
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Doubly even self-orthogonal codes from quasi-symmetric designs
Published in Applicable algebra in engineering, communication and computing (24-06-2024)Get full text
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10
The Cameron–Liebler problem for sets
Published in Discrete mathematics (06-02-2016)“…Cameron–Liebler line classes and Cameron–Liebler k-classes in PG(2k+1,q) are currently receiving a lot of attention. Here, links with the Erdős–Ko–Rado results…”
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11
Cyclotomic Trace Codes
Published in Algorithms (01-08-2019)“…A generalization of Ding’s construction is proposed that employs as a defining set the collection of the sth powers ( s ≥ 2 ) of all nonzero elements in G F (…”
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12
New 3-designs and 2-designs having U(3,3) as an automorphism group
Published in Discrete mathematics (01-10-2017)“…In this paper we classify 2-designs and 3-designs with 28 or 36 points admitting a transitive action of the unitary group U(3,3) on points and blocks. We also…”
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On some transitive combinatorial structures constructed from the unitary group U(3,3)
Published in Journal of statistical planning and inference (01-01-2014)“…In this paper we introduce a construction method of transitive 1-designs from a finite group. We use this method to construct 2-designs and strongly regular…”
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14
LCD codes from equitable partitions of association schemes
Published in Applicable algebra in engineering, communication and computing (01-11-2023)“…Linear codes with complementary duals (shortly named LCD codes) are linear codes whose intersection with their duals are trivial. In this paper, we give a…”
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15
Transitive combinatorial structures invariant under some subgroups of S(6,2) and related codes
Published in Atti della Accademia peloritana dei pericolanti. Classe I di scienze fis., mat. e naturali (01-01-2018)“…In this paper we define combinatorial structures on the conjugacy classes of the maximal subgroups of the symplectic group S(6,2) under the action of two…”
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16
LCD subspace codes
Published in Designs, codes, and cryptography (01-10-2023)“…A subspace code is a nonempty set of subspaces of a vector space F q n . Linear codes with complementary duals, or LCD codes, are linear codes whose…”
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17
Self-Orthogonal Codes from Deza Graphs, Normally Regular Digraphs and Deza Digraphs
Published in Graphs and combinatorics (01-04-2024)“…In this paper, we give constructions of self-orthogonal codes from orbit matrices of Deza graphs, normally regular digraphs and Deza digraphs in terms of a…”
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18
Distance-regular graphs and new block designs obtained from the Mathieu groups
Published in Applicable algebra in engineering, communication and computing (01-03-2024)“…In this paper we construct distance-regular graphs admitting a vertex transitive action of the five sporadic simple groups discovered by E. Mathieu, the…”
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19
Switching for 2-designs
Published in Designs, codes, and cryptography (01-07-2022)“…In this paper, we introduce a switching for 2-designs, which defines a type of trade. We illustrate this method by applying it to some symmetric (64, 28, 12)…”
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Formally self-dual LCD codes from two-class association schemes
Published in Applicable algebra in engineering, communication and computing (01-03-2023)“…Linear codes with complementary duals, shortly named LCD codes, are linear codes whose intersection with their duals is trivial. In this paper, we outline a…”
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