Prof. dr. sc. Dean Crnković

Odjel za matematiku Zavod za diskretnu matematiku

e-pošta : deanc@math.uniri.hr

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Znanstvena i umjetnička djelatnost

Znanstveni radovi

1. Dean Crnković, Ronan Egan, Andrea Švob
Constructing self-orthogonal and Hermitian self-orthogonal codes via weighing matrices and orbit matrices
Finite Fields and Their Applications 55 64-77 - 2019. https://www.sciencedirect.com/science/article/pii/S1071579718301096

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2. Dean Crnković, Nina Mostarac
PD-sets for codes related to flag-transitive symmetric designs
Transactions on Combinatorics 7 37-50 - 2018. http://toc.ui.ac.ir/article_21615.html

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3. Dean Crnković
Regular Hadamard matrices constructed from Hadamard 2-designs and conference graphs
Discrete Mathematics 341 520-524 - 2018.

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4. D. Crnković, R. Egan, A. Švob
Orbit matrices of Hadamard matrices and related codes
Discrete Mathematics 341 1199-1209 - 2018.

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5. D. Crnković, V. Mikulić Crnković, B. G. Rodrigues
On self-orthogonal designs and codes related to Held's simple group
Advances in Mathematics of Communications 12 607-628 - 2018. http://aimsciences.org/article/doi/10.3934/amc.2018036

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6. D. Crnković, S. Rukavina, A. Švob
New strongly regular graphs from orthogonal groups O+(6,2) and O-(6,2)
Discrete Mathematics 341 2723-2728 - 2018.

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7. D. Crnković, N. Mostarac
Self-dual codes from orbit matrices and quotient matrices of combinatorial designs
Discrete Mathematics 341 3331-3343 - 2018.

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8. D. Crnković, B. G. Rodrigues, S. Rukavina, V. D. Tonchev
Quasi-symmetric 2-(64,24,46) designs derived from AG(3,4)
Discrete Mathematics 340 2472-2478 - 2017.

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9. D. Crnković, V. Mikulić Crnković, A. Švob
New 3-designs and 2-designs having U(3,3) as an automorphism group
Discrete Mathematics 340 2507-2515 - 2017.

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10. Dean Crnković, Sanja Rukavina, Loredana Simčić
On triplanes of order twelve admitting an automorphism of order six and their binary and ternary codes
Utilitas Mathematica 103 23-40 - 2017.

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11. Dean Crnković, Vedrana Mikulić Crnković, Andrea Švob
On some transitive combinatorial structures and codes constructed from the symplectic group S(6,2)
Journal of Combinatorial Mathematics and Combinatorial Computing 97 119-138 - 2016.

Q3

12. Dean Crnković, Doris Dumičić Danilović, Sanja Rukavina
Enumeration of symmetric (45,12,3) designs with nontrivial automorphisms
Journal of Algebra Combinatorics Discrete Structures and Applications 3 145-154 - 2016.

13. Dean Crnković, Marija Maksimović, B. G. Rodrigues, Sanja Rukavina
Self-orthogonal codes from the strongly regular graphs on up to 40 vertices
Advances in Mathematics of Communications 10 555-582 - 2016.

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14. Crnković, Dean; Rukavina, Sanja
Self-dual codes from extended orbit matrices of symmetric designs
Designs, Codes and Cryptography 79 113-120 - 2016.

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15. Crnković, Dean; Mostarac, Nina; Rukavina, Sanja
Self-dual codes from quotient matrices of symmetric divisible designs with the dual property
Discrete Mathematics 339 409-414 - 2016.

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16. D. Crnković, S. Rukavina, V. D. Tonchev
New symmetric (61,16,4) designs obtained from codes
Algebraic Design Theory and Hadamard Matrices, (C. J. Colbourn, Ed.), Springer Proc. Math. Stat. 133 61-69 - 2015.

17. Crnković, Dean; Kharaghani, Hadi
Divisible design digraphs
Algebraic Design Theory and Hadamard Matrices, (C. J. Colbourn, Ed.), Springer Proceedings in Mathematics and Statistics 133 43-60 - 2015.

18. Crnković, Dean; Haemers, Willem
Walk-regular divisible design graphs
Designs, Codes, and Cryptography 72 165-175 - 2014.

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19. Crnković, Dean
Classes of self-orthogonal or self-dual codes from orbit matrices of Menon designs
Discrete Mathematics 327 91-95 - 2014.

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20. Crnković, Dean; Mikulić Crnković, Vedrana; Švob, Andrea
On some transitive combinatorial structures constructed from the unitary group U(3,3)
Journal of Statistical Planning and Inference 144 19-40 - 2014.

Q1
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21. Crnković, Dean; Dumičić Danilović, Doris
Finding Unitals in Symmetric Designs using a Modified Genetic Algorithm
Mathematica Pannonica 24 183-196 - 2013.

22. Crnković, Dean; Mikulić Crnković, Vedrana; Rodrigues, B. G.
Designs, strongly regular graphs and codes constructed from some primitive groups
- 2011.

23. Crnković, Dean; Mikulić, Vedrana; Rukavina, Sanja
Block designs and strongly regular graphs constructed from some linear and unitary groups
- 2006.

24. Mikulić Crnković, Vedrana; Crnković, Dean
Construction of 1-designs from group action
Electronic notes in discrete mathematics (1571-0653) 40 (2013); 253-257

25. Crnković, Dean
Symmetric and Resolvable $\lambda$-Configurations Constructed from Block Designs
Discrete mathematics (0012-365X) 308 (2008), 20; 4829-4832

26. Crnković, Dean; Mikulić, Vedrana
Self-orthogonal doubly-even codes from Hadamard matrices of order 48
Advances and Applications in Discrete Mathematics (0974-1658) 1 (2008), 2; 159-170

27. Crnković, Dean
On Some Menon Designs
International Mathematical Forum (1312-7594) 2 (2007), 43; 2099-2107

28. Crnković, Dean
A Construction of Some Symmetric (144, 66, 30) Designs
Journal of Applied Algebra and Discrete Structures (0972-5946) 5 (2007), 1; 33-39

29. Crnković, Dean
An algorithm for computing the full automorphism group of a matrix
Journal of Computational Mathematics and Optimization (0972-9372) 3 (2007), 3; 153-162

30. Crnković, Dean
A Construction of Some Symmetric Designs with Parameters (196, 91, 42)
International Mathematical Forum (1312-7594) 2 (2007), 61; 3021-3026

31. Crnković, Dean
A Class of Siamese Twin Menon Designs
Mathematical Communications (1331-0623) 12 (2007), 2; 183-190

32. Crnković, Dean
On Some Symmetric Designs with Classical Parameters
Acta Mathematica Academiae Paedagogicae Nyíregyháziensis (1786-0091) 22 (2006), 1; 5-18

33. Crnković, Dean
On Two Classes of Menon Designs
Electronic Notes in Discrete Mathematics (1571-0653) 26 (2006); 37-38

34. Crnković, Dean; Held, Dieter
On Some Menon Designs with Parameters (324, 153, 72)
Journal of Applied Algebra and Discrete Structures (0972-5946) 4 (2006), 1; 23-33

35. Crnković, Dean; Rukavina, Sanja
On Symmetric (71, 35, 17) designs
Mathematica Macedonica (1409-9721) 2 (2004); 51-58

36. Crnković, Dean
Symmetric (36, 15, 6) design having U(3, 3) as an automorphism group
Glasnik matematički (0017-095X) 34(54) (1999); 1-3

37. Crnković, Dean
On symmetric (36, 15, 6) designs
Glasnik Matematički (0017-095X) 34(54) (1999); 105-108

38. Crnković, Dean
Symmetric (70, 24, 8) designs having Frob21 x Z2 as an automorphism group
Glasnik Matematički (017-095X) 34(54) (1999); 109-121

39. Crnković, Dean; Rodrigues, Bernardo Gabriel; Rukavina, Sanja; Simčić, Loredana
Self-orthogonal codes from orbit matrices of 2-designs
Advances in Mathematics of Communications (1930-5346) 7 (2013), 2; 161-174

40. Crnković, Dean
A series of Menon designs and 1-rotational designs
Finite Fields and Their Applications (1071-5797) 13 (2007), 4; 1001-1005

41. Crnković, Dean
A Series of Regular Hadamard Matrices
Designs, Codes and Cryptography (0925-1022) 39 (2006), 2; 247-251

42. Crnković, Dean; Held, Dieter
Some Menon designs having U(3, 3) as an automorphism group
Illinois Journal of Mathematics (0019-2082) 47 (2003), 1/2; 129-139

43. Crnković, Dean
Self-orthogonal codes constructed from orbit matrices of 2-designs and quotient matrices of divisible designs
Electronic notes in discrete mathematics (1571-0653) 40 (2013); 89-93

44. Crnković, Dean; Mikulić, Vedrana
Unitals, projective planes and other combinatorial structures constructed from the unitary groups U(3, q), q=3, 4, 5, 7
Ars combinatoria (0381-7032) 110 (2013); 3-13

45. Crnković, Dean; Rodrigues, B. G.
Self-orthogonal codes from some Bush-type Hadamard matrices
Quaestiones Mathematicae (1607-3606) 36 (2013), 3; 341-352

46. Crnković, Dean; Rukavina, Sanja; Simčić, Loredana
Binary doubly-even self-dual codes of length 72 with large automorphism groups
Mathematical communications (1331-0623) 18 (2013), 2; 297-308

47. Crnković, Dean; Mikulić Crnković, Vedrana; Rodrigues, Bernardo G.
Some optimal codes and strongly regular graphs from the linear group L(4, 3)
UTILITAS MATHEMATICA (0315-3681) 89 (2012); 237-255

48. Crnković, Dean
Some Block Designs Constructed from Resolvable Designs
Mathematica Macedonica (1409-9721) 7 (2009); 39-44

49. Crnković, Dean; Rodrigues, B. G.; Rukavina, Sanja; Simčić, Loredana
Ternary codes from the strongly regular (45, 12, 3, 3) graphs and orbit matrices of 2-(45, 12, 3) designs
DISCRETE MATHEMATICS (0012-365X) 312 (2012), 3000-3010

50. Crnković, Dean; Mikulić Crnković, Vedrana
On some combinatorial structures constructed from the groups L(3, 5), U(5, 2) and S(6, 2)
International journal of Combinatorics (1687-9171) 2011 (2011); 1-12

51. Crnković, Dean; Mikulić, Vedrana; Rodrigues, B. G.
Some strongly regular graphs and self-orthogonal codes from the unitary group U(4, 3)
Glasnik matematički (0017-095X) 45 (2010), 2; 307-323

52. Crnković, Dean
A Series of Siamese Twin Designs
Discrete mathematics (0012-365X) 309 (2009), 2; 322-327

53. Crnković, Dean
Construction of Menon Designs with Parameters (784, 378, 182) and (900, 435, 210)
Applied Mathematics E-Notes (1607-2510) 8 (2008); 124-130

54. Crnković, Dean
A series of Siamese twin designs intersecting in a BIBD and a PBD
Australasian journal of combinatorics (1034-4942) 41 (2008); 139-145

55. Crnković, Dean; Mikulić, Vedrana
Block designs and strongly regular graphs constructed from the group U(3, 4)
Glasnik matematički (0017-095X) 41 (2006), 2; 189-194

56. Crnković, Dean
Some New Menon Designs with Parameters (196, 91, 42)
Mathematical Communications (1331-0623) 10 (2005), 2; 169-175

57. Crnković, Dean; Rukavina, Sanja
On Some Symmetric (45, 12, 3) and (40, 13, 4) Designs
Journal of computational mathematics and optimization (0972-9372) 1 (2005), 1; 55-63

58. Crnković, Dean; Rukavina, Sanja
Construction of Block Designs Admitting an Abelian Automorphism Group
Metrika (0026-1335) 62 (2005), 2-3; 175-183

59. Crnković, Dean; Rukavina, Sanja; Schmidt, Marcel
A Classification of all Symmetric Block Designs of Order Nine with an Automorphism of Order Six
Journal of Combinatorial Designs (1063-8539) 14 (2006), 4; 301-312

60. Crnković, Dean; Rukavina, Sanja
Menon Designs with Parameters (256, 120, 56)
Mathematica Macedonica (1409-9721) 3 (2005); 51-57

61. Crnković, Dean
On path graphs of incidence graphs
Mathematical communications (1331-0623) 9 (2004), 2; 181-188

62. Crnković, Dean; Mikulić, Vedrana; Rukavina, Sanja
Block designs constructed from the group U(3, 3)
Journal of applied algebra and discrete structures (0972-5946) 2 (2004), 2; 69-81

63. Crnković, Dean; Held, Dieter
Some New Bush-Type Hadamard Matrices of Order 100 and Infinite Classes of Symmetric Designs
Journal of Combinatorial Mathematics and Combinatorial Computing (0835-3026) 47 (2003); 155-164

64. Crnković, Dean; Rukavina, Sanja
Some symmetric (47, 23, 11) designs
Glasnik Matematički (0017-095X) 38(58) (2003), No.1; 1-9

65. Crnković, Dean; Rukavina, Sanja
On Hadamard (35, 17, 8) Designs and Their Automorphism Groups
Journal of Applied Algebra and Discrete Structures (0972-5946) 1 (2003), No.3; 165-180

66. Crnković, Dean
Some Hadamard designs admitting a faithful action of Frobenius groups
Mathematical Communications (1331-0623) 7 (2002), No.1; 65-70

67. Crnković, Dean; Held, Dieter
Some Hadamard Designs with Parameters (71, 35, 17)
Journal of Combinatorial Designs (1063-8539) 10 (2001); 144-149

68. Crnković, Dean; Pavčević, Mario-Osvin
Some new symmetric designs with parameters (64, 28, 12)
Discrete Mathematics (0012-365X) 237 (2001); 109-118

69. Crnković, Dean; Rukavina, Sanja
Some new 2-(17, 4, 3) and 2-(52, 13, 4) designs
Glasnik matematički (017-095x) 36(56) (2001); 169-175

70. Crnković, Dean; Rukavina, Sanja
Unique symmetric (66, 26, 10) design admitting an automorphism of order 55
Mathematical Communications (1331-0623) 6 (2001), 1; 83-87

71. Crnković, Dean; Rukavina, Sanja
Hadamard 2-(47, 23, 11) Designs having $Frob_{; 55}; $ as an Automorphism Group
Electronic Notes in Discrete Mathematics (1571-0653) 10 (2001); 1

72. Crnković, Dean; Rukavina, Sanja
Symmetric (66, 26, 10) designs having Frob_55 as an automorphism group
Glasnik matematički (0017-095X) 35(55) (2000); 271-281

73. Crnković, Dean; Mikulić, Vedrana; Rukavina, Sanja
Block Designs and a Strongly Regular Graph Constructed from Linear Groups L(2, 49) and L(2, 32)
Advances in Algebra towards Millenium Problems, Proceedings of 2004 International Conference on Related Subjects to Clay Problems / Ki-Bong Nam et al. (ur.). - Delhi : SAS International Publications , 2005. 197-207.

Znanstvene knjige

1. Urednik knjige

Information Security, Coding Theory and Related Combinatorics
NATO Science for Peace and Security Series - D: Information and Communication Security, Vol. 29 Dean Crnković, Vladimir Tonchev IOS Press Amsterdam - 2011.

Pozvana predavanja

1. Dean Crnković
Regular Hadamards and related codes, 5th Workshop on Real and Complex Hadamard Matrices and Applications
Budimpešta, Mađarska - 11.7.2017. http://www.renyi.hu/conferences/hadamard2017/
2. Crnković, Dean
Transitive designs constructed from finite groups and related codes
Cape Town, Južna Afrika - 20.7.2015. http://cimpa2015algebraicreptheory.weebly.com/
3. Crnković, Dean
On some codes and divisible designs constructed from Hadamard matrices
Lethbridge, Canada - 8.7.2014.
4. Dean Crnković
Block designs constructed from groups, 2016 PhD Summer School in Discrete Mathematics
Rogla, Slovenija http://www.famnit.upr.si/sl/konference/rogla2016
5. Dean Crnković
Incidence structures from groups and related codes, Algebraic Combinatorics and Applications - The first annual Kliakhandler Conference
Houghton, Michigan, USA http://www.math.mtu.edu/~tonchev/aca15.htm
6. Crnković, Dean; Mikulić Crnković, Vedrana; Švob, Andrea
Groups and designs
7. Crnković, Dean
PSp(4, 3) as a symmetric (45, 12, 3), (40, 13, 4) and (36, 15, 6) design

Kongresna priopćenja

1.
Dean Crnković
Strongly regular graphs constructed from groups kratko priopćenje Symmetry vs Regularity Plzen, Češka - 3.7.2018.
2.
Dean Crnković
On some regular Hadamard matrices and associated codes kratko priopćenje Combinatorics 2018 Arco, Italy - 8.6.2018.
3.
Dean Crnković, Ronan Egan
A construction of regular Hadamard matrices kratko priopćenje The Second Malta Conference in Graph Theory and Combinatorics Qawra, Malta - 26.6.2017.
4.
Dean Crnković
Groups acting on combinatorial designs and related codes kratko priopćenje Symmetries and Covers of Discrete Object Queenstown, Novi Zeland - 14.2.2016. https://www.math.auckland.ac.nz/~dleemans/SCDO2016/
5.
Dean Crnković
Regular Hadamard Matrices kratko priopćenje Nordic Combinatorial Conference 2016 Levi, Kittilä, Finland - 1.1.2016. https://research.comnet.aalto.fi/norcom2016/
6.
Dean Crnković
On some Menon designs and related structures kratko priopćenje Algebraic combinatorics and applications (ALCOMA 15) Kloster Banz, Njemačka - 15.3.2015. http://alcoma15.uni-bayreuth.de/
7.
Dean Crnković
Self-orthogonal or self-dual codes from orbit matrices of block designs kratko priopćenje Mathematics of Communications: Sequences, Codes and Designs Banff, Kanada - 26.1.2015. http://www.birs.ca/events/2015/5-day-workshops/15w5139
8.
Crnković, Dean
Symmetric (36,15,6) design having U(3,3) as an automorphism group and strongly regular graphs predavanje Summer 2001 Workshop on Graphs and Combinatorial Designs Honolulu, Hawaii, SAD - 14.7.2001.
9.
Crnković, Dean; Mikulić, Vedrana
Self-orthogonal doubly-even codes from Hadamard matrices of order 48
10.
Crnković, Dean
Series of Menon designs, cyclic BIBDs and cyclic PBDs
11.
Crnković, Dean
Self-orthogonal codes constructed from orbit matrices
12.
Crnković, Dean
Orbit matrices and self-orthogonal codes
13.
Crnković, Dean; Simčić, Loredana
Codes from orbit matrices of symmetric block designs
14.
Crnković, Dean; Simčić, Loredana
Self-orthogonal codes constructed from orbit matrices of symmetric block designs
15.
Crnković, Dean; Mikulić, Vedrana; Švob, Andrea
Transitive designs constructed from finite groups
16.
Crnković, Dean; Mikulić, Vedrana
Designs constructed from primitive groups
17.
Crnković, Dean; Mikulić, Vedrana
Block designs and strongly regular graphs constructed from primitive groups
18.
Crnković, Dean
Two Series of Regular Hadamard Matrices
19.
Crnković, Dean
A New Series of Regular Hadamard Matrices
20.
Crnković, Dean
Path graphs of incidence graphs
21.
Crnković, Dean
On Path Graphs of Bipartite Graphs
22.
Crnković, Dean; Rukavina, Sanja
Symmetric designs and strongly regular graphs constructed from the group PSp(4, 3)
23.
Crnković, Dean; Rukavina Sanja
Construction of block designs admitting an abelian automorphism group
24.
Crnković, Dean; Held, Dieter; Rukavina, Sanja
On Hadamard (35,17,8) Designs
25.
Crnković, Dean: Rukavina, Sanja
Hadamard 2-(47, 23, 11) Designs having $Frob_{;55};$ as an Automorphism Group
26.
Crnković, Dean; Rukavina, Sanja
Construction of Symmetric Designs Admitting Automorphisms of Order pq
27.
Crnković, Dean; Mikulić, Vedrana; Švob, Andrea
Transitive designs constructed from groups

Znanstveni projekti

1. 1.7.2014. - 30.6.2018.
Codes and Related Combinatorial Structures; glavni istraživač; HRZZ; 887.400,00 kn; http://www.math.uniri.hr/~vmikulic/project_hrzz.htm
2. 1.1.2007. - 1.1.2013.
Blok dizajni, jako regularni grafovi i srodne kombinatoričke strukture; voditelj projekta; MZOS; ;
3. 1.1.2002. - 1.1.2007.
Konačne geometrije, grafovi i grupe; glavni istraživač; MZOS; ;
4. 1.1.1998. - 1.1.2002.
Simetrični nacrti s Frobeniusovim grupama automorfizama; voditelj poticajnog projekta; MZOS; ;
5. 1.1.1995. - 1.1.2002.
Istraživanje kombinatoričkih struktura uz primjenu računala; suradnik; MZOS; ;

Mentorstvo doktorandima

1. 1.10.2010. - 25.10.2017.
Nina Mostarac; Doktorat Samodualni kodovi i PD-skupovi konstruirani iz kombinatoričkih dizajna; Zajednički sveučilišni poslijediplomski doktorski studij matematike; 25. 10. 2017.;
2. 1.1.2008. - 1.1.2015.
Marija Maksimović; Doktorat Orbitne matrice jako regularnih grafova; Zajednički sveučilišni poslijediplomski doktorski studij matematike.; 23. 3. 2015.;
3. 1.1.2008. - 1.1.2014.
Doris Dumičić Danilović; Doktorat Poopćenje i profinjenje nekih algoritama za konstrukciju blokovnih dizajna i istraživanje njihovih podstruktura; Zajednički sveučilišni poslijediplomski doktorski studij matematike; 20. 11. 2014.;
4. 1.1.2008. - 1.1.2013.
Loredana Simčić; Doktorat Kodovi iz blokovnih dizajna i njihovih orbitnih matrica; Zajednički sveučilišni poslijediplomski doktorski studij matematike; 16. 12. 2013.;
5. 1.1.2007. - 1.1.2013.
Andrea Švob; Doktorat Tranzitivni dizajni konstruirani iz konačnih grupa; Zajednički sveučilišni poslijediplomski doktorski studij matematike; 21. 10. 2013.;

Znanstveni skupovi

1. 31.5.2016. - 11.6.2010.
NATO Advanced Study Institute "Information Security and Related Combinatorics" Opatija kodirektor
2. - 21.6.2012.
Peti hrvatski matematički kongres Rijeka supredsjedatelj Organizacijskog odbora i Znanstvenog odbora