Dean Crnković

Department of Mathematics

University of Rijeka

Radmile Matejčić 2, 51000 Rijeka, Croatia

e-mail: deanc@math.uniri.hr

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**LIST OF PUBLICATIONS**

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**EDITED VOLUMES**

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1. D. Crnković, V.
Tonchev, Eds., **Information Security,
Coding Theory and Related Combinatorics,** NATO Science for Peace and
Security Series - D: Information and Communication Security, Vol. 29, IOS
Press, Amsterdam, 2011, 460 pp.

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**PAPERS**

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1. D. Crnković, V. Mikulić Crnković, A. Švob, **Transitive combinatorial structures invariant under some subgroups of S(6,2) and related codes,
**Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur., to appear.

2. D. Crnković, V. Mikulić Crnković, B. G. Rodrigues, **On self-orthogonal designs and codes related to Held's simple group,
**Adv. Math. Commun., to appear.

3. D. Crnković, M. Maksimović, S. Rukavina,
**Codes from orbit matrices of strongly regular graphs,
** Rad Hrvat. Akad. Znan. Umjet. Mat. Znan., to appear.

4. D. Crnković, R. Egan,
**A note on Siamese twin designs intersecting in a BIBD and a PBD,
** Math. Comput. Sci., to appear.

5. D. Crnković, A. Švob,
**Transitive t-designs and strongly regular graphs
constructed from linear groups L(2,q), q <= 23,** Int. J. Group Theory, to appear.

6. D. Crnković, D. Dumičić Danilović, S. Rukavina, M. Šimac,
**On some new Steiner 2-designs S(2,5,45),** Util. Math., to appear.

7. D. Crnković, D. Dumičić Danilović, S. Rukavina,
**On symmetric (78,22,6) designs and related self-orthogonal
codes,** Util. Math., to appear.

8. D. Crnković, R. Egan, A. Švob,
**Orbit matrices of Hadamard matrices and related codes,
** Discrete Math. 341 (2018), 1199-1209.

9. D. Crnković,
**Regular Hadamard matrices constructed from Hadamard 2-designs and conference
graphs,** Discrete Math. 341 (2018), 520-524.

10. D. Crnković, N. Mostarac,
**PD-sets for codes related to flag-transitive symmetric
designs,** Trans. Comb. 7 (2018), 37-50.

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

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

13. D. Crnković, S. Rukavina, L. Simčić,
**On triplanes of order twelve
admitting an automorphism of order six and their binary and ternary
codes,** Util. Math. 103 (2017), 23-40.

14. D. Crnković, M. Maksimović, B. G. Rodrigues, S. Rukavina, **Self-orthogonal codes from the strongly regular graphs on up to 40 vertices,
**Adv. Math. Commun. 10 (2016), 555-582.

15. D. Crnković, D. Dumičić Danilović, S. Rukavina,
**Enumeration of symmetric (45,12,3) designs with nontrivial automorphisms,
** J. Algebra Comb. Discrete Struct. Appl. 3 (2016), 145-154.

16. D. Crnković, V. Mikulić Crnković, A. Švob, **On some transitive combinatorial structures and codes constructed from
the symplectic group S(6,2), **J. Combin. Math. Combin. Comput. 97 (2016), 119-138.

17. D. Crnković, N. Mostarac, S. Rukavina,
**Self-dual codes from quotient matrices of
symmetric divisible designs with the dual property,** Discrete Math. 339 (2016), 409-414.

18. D. Crnković, S. Rukavina,
**Self-dual codes from extended
orbit matrices of symmetric designs,** Des. Codes Cryptogr. 79 (2016), 113-120.

19. D. Crnković, H. Kharaghani, **Divisible design digraphs,
** in: Algebraic Design Theory and Hadamard Matrices, (C. J. Colbourn, Ed.),
Springer Proc. Math. Stat., Vol. 133, Springer, New York, 2015, 43-60.

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

21. D. Crnković, W. H. Haemers, **Walk-regular divisible design graphs, **Des. Codes Cryptogr. 72 (2014), 165-175.

22. D. Crnković, **Classes of self-orthogonal or self-dual codes from orbit matrices of Menon designs,
**Discrete Math. 327 (2014), 91-95.

23. D. Crnković, V. Mikulić Crnković, A. Švob, **On some transitive combinatorial structures
constructed from the unitary group U(3,3), **J. Statist. Plann. Inference 144 (2014), 19-40.

24. D. Crnković, D. Dumičić Danilović, **Finding unitals in symmetric designs using a modified genetic algorithm,
**Math. Pannon. 24 (2013), 183-196.

25. D. Crnković, B. G. Rodrigues, **Self-orthogonal codes from some Bush-type
Hadamard matrices, **Quaest. Math. 36 (2013), 341-352.

26. D. Crnković, S. Rukavina, L. Simčić, **Binary doubly-even self-dual codes of length 72 with large automorphism groups,
**Math. Commun. 18 (2013), 297-308.

27. D. Crnković, **Self-orthogonal codes constructed from orbit matrices of 2-designs
and quotient matrices of divisible designs**, Electron. Notes Discrete Math. 40
(2013), 89-93 (electronic), (http://www.elsevier.com/locate/endm).

28. V. Mikulić Crnković, D. Crnković, **Construction of 1-designs from group action**, Electron. Notes Discrete Math. 40
(2013), 253-257 (electronic), (http://www.elsevier.com/locate/endm).

29. D. Crnković, B. G. Rodrigues, S. Rukavina, L. Simčić, **Self-orthogonal codes from orbit matrices of 2-designs,
**Adv. Math. Commun. 7 (2013), 161-174.

30. D. Crnković, V. Mikulić, **Unitals, projective planes and other
combinatorial structures constructed from the unitary groups U(3,q), q=3,4,5,7,**
Ars Combin. 110 (2013), 3-13.

31. D. Crnković, V. Mikulić Crnković, B. G.
Rodrigues, **Some optimal codes and
strongly regular graphs from the linear group L _{4}(3),** Util.
Math. 89 (2012), 237-255.

32. D. Crnković, B. G. Rodrigues, S. Rukavina, L. Simčić, **Ternary codes from the strongly regular (45,12,3,3) graphs and orbit matrices
of 2-(45,12,3) designs, **Discrete Math. 312 (2012), 3000-3010.

33. D. Crnković, V. Mikulić Crnković, **On some combinatorial structures
constructed from the groups L(3,5), U(5,2) and S(6,2)**, Int. J. Comb., 2011
(2011), Article ID 137356, 12 pages, doi:10.1155/2011/137356. (http://www.hindawi.com/journals/ijct/2011/137356/).

34. D. Crnković, V. Mikulić Crnković, B. G.
Rodrigues, **Designs, strongly regular
graphs and codes constructed from some primitive groups**, in: Information
Security, Coding Theory and Related Combinatorics, (D. Crnković and V. Tonchev,
Eds.), IOS Press, Amsterdam, 2011, 231-252.

35. D. Crnković, V.
Mikulić, B. G. Rodrigues, **Some strongly
regular graphs and self-orthogonal codes from the unitary group U _{4}(3),**
Glas. Mat. Ser. III 45, No. 2 (2010), 307-323.

36. D. Crnković, **A Series of Siamese Twin Designs**,
Discrete Math. 309 (2009), 322-327.

37. D. Crnković, **Some block designs constructed from
resolvable designs,** Math. Maced. 7 (2009), 39-44.

38. D. Crnković, **Symmetric and Resolvable ****λ****-Configurations Constructed from Block Designs**, Discrete Math. 308
(2008), 4829-4832.

39. D. Crnković, V. Mikulić, **Self-orthogonal doubly-even codes from
Hadamard matrices of order 48**, Adv. Appl. Discrete Math. 1 (2008), 159-170.

40. D. Crnković, **A series of Siamese twin designs intersecting in a BIBD and a PBD,**
Australas. J. Combin. 41 (2008), 139-145.

41. D. Crnković, **Construction of Menon Designs with
Parameters (784,378,182) and (900,435,210),** Appl. Math. E-Notes 8 (2008),
124-130.

42. D. Crnković, **A Class of Siamese Twin Menon Designs**,
Math. Commun. 12, No. 2 (2007), 183-190.

43. D. Crnković, **A series of Menon designs and 1-rotational
designs,** Finite Fields Appl. 13, No. 4 (2007), 1001-1005.

44. D. Crnković, **A Construction of Some Symmetric Designs
with Parameters (196,91,42),** Int. Math. Forum 2, No. 61 (2007), 3021-3026.

45. D. Crnković, **An algorithm for computing the full automorphism group of a matrix**,
J. Comput. Math. Optim. 3, No. 3 (2007), 153-162.

46. D. Crnković, **On Some Menon Designs**, Int. Math. Forum
2, No. 43 (2007), 2099-2107.

47. D. Crnković, **A Construction of Some Symmetric
(144,66,30) Designs**, J. Appl. Algebra Discrete Struct. 5, No. 1 (2007),
33-39.

48. D. Crnković, V.
Mikulić, **Block designs and strongly
regular graphs constructed from the group U(3,4),** Glas. Mat. Ser. III 41
(61), No. 2 (2006), 189-194.

49. D. Crnković, **On Two Classes of Menon Designs**, Electron. Notes Discrete Math. 26
(2006), 37-38 (electronic), (http://www.elsevier.com/locate/endm).

50. D. Crnković, **A Series of Regular Hadamard Matrices**, Des. Codes Cryptogr. 39, No.
2 (2006), 247-251.

51. D. Crnković, S. Rukavina, M. Schmidt, **A Classification of all Symmetric Block
Designs of Order Nine with an Automorphism of Order Six**, J. Combin. Des. 14, No. 4 (2006), 301-312.

52. D. Crnković, **On Some Symmetric Designs with Classical Parameters,** Acta Math.
Acad. Paedagog. Nyházi. 22, No. 1 (2006), 5-18 (electronic), (http://www.emis.de/journals/AMAPN).

53. D. Crnković, D. Held, On **Some Menon Designs with Parameters
(324,153,72),** J. Appl. Algebra Discrete Struct. 4, No. 1 (2006), 23-33.

54. D. Crnković, V. Mikulić, S. Rukavina, **Block Designs and Strongly Regular Graphs
Constructed form Some Linear and Unitary Groups**, Pragmatic Algebra (Ki-Bong
Nam et al., eds.), SAS International Publications, Delhi, 2006, 93-108.

55. D. Crnković, S. Rukavina, **Menon Designs with Parameters (256,120,56),**
Math. Maced. 3 (2005), 51-57.

56. D. Crnković, S. Rukavina, **Construction of Block Designs Admitting an
Abelian Automorphism Group**, Metrika 62, No. 2-3 (2005), 175-183.

57. D. Crnković, **Some New Menon Designs with Parameters (196,91,42),** Math. Commun.
10, No. 2 (2005), 169-175.

58. D. Crnković, S. Rukavina, **On some symmetric (45,12,3) and (40,13,4)
designs**, J. Comput. Math. Optim. 1, No. 1 (2005), 55-63.

59. D. Crnković, V. Mikulić, S. Rukavina, **Block designs and strongly regular graphs
constructed form linear groups L(2,49) and L(2,32),** Advences in Algebra
towards Millennium Problems, Proceedings of 2004 International Conference on
Related Subjects to Clay Problems (Ki-Bong Nam et al. Eds.), SAS International
Publications, Delhi, 2005. 197-207.

60. D. Crnković, S.
Rukavina, **On Symmetric (71,35,17)
Designs**, Math. Maced. 2 (2004), 51-58.

61. D. Crnković, **On Path Graphs of Incidence Graphs**,
Math. Commun. 9, No. 2 (2004), 181-188.

62. D. Crnković, V.
Mikulić, S. Rukavina, **Block designs
constructed from the group U(3,3),** J. Appl. Algebra Discrete Struct.
2, No. 2 (2004), 69-81.

63. D. Crnković, S.
Rukavina, **On Hadamard (35,17,8) designs
and their automorphism groups**, J. Appl. Algebra Discrete Struct. 1, No. 3
(2003), 165-180.

64. D. Crnković, D. Held, **Some Menon Designs Having U(3,3) as an
Automorphism Group**, Illinois J. Math. 47, No. 1-2 (2003), 129-139.

65. D. Crnković, D. Held, **Some New Bush-Type Hadamard Matrices of
Order 100 and Infinite Classes of Symmetric Designs**, J. Combin. Math.
Combin. Comput. 47 (2003), 155-164.

66. D. Crnković, S.
Rukavina, **Some Symmetric (47,23,11)
Designs**, Glas. Mat. Ser. III 38 (58), No. 1 (2003), 1-9.

67. D. Crnković, **Some Hadamard designs admitting a faithful
action of Frobenius groups**, Math. Commun. 7, No. 1 (2002), 65-75.

68. D. Crnković, D. Held, **Some Hadamard designs with parameters
(71,35,17),** J. Combin. Des. 10, No. 2 (2002), 144-149.

69. D. Crnković, S.
Rukavina, **Hadamard 2-(47,23,11) Designs
having Fro****b _{55} **

70. D. Crnković, S.
Rukavina, **Unique symmetric (66,26,10)
design admitting an automorphism of order 55**, Math. Commun. 6, No. 1
(2001), 83-87.

71. D. Crnković, S.
Rukavina, **Some new 2-(17,4,3) and
2-(52,13,4) designs**, Glas. Mat. Ser. III 36 (56), No. 1 (2001), 169-175.

72. D. Crnković, M.-O.
Pavčević**, Some new symmetric designs
with parameters (64,28,12),** Discrete Math. 237, No. 1-3 (2001), 109-118.

73. D. Crnković, S.
Rukavina, **Symmetric (66,26,10) designs
having Fro****b _{55} **

74. D. Crnković, **Symmetric (70,24,8) designs having Fro****b _{21}
**

75. D. Crnković, **On symmetric (36,15,6) designs**, Glas.
Mat. Ser. III 34 (54), No. 2 (1999), 105-108.

76. D. Crnković, **Symmetric (36,15,6) design having U(3,3) as
an automorphism group**, Glas. Mat. Ser. III 34 (54), No. 1 (1999), 1-3.