Dean Crnković

Department of Mathematics

University of Rijeka

Radmile Matejčić 2, 51000 Rijeka, Croatia

e-mail: deanc@math.uniri.hr 

 

 

LIST OF PUBLICATIONS

 

EDITED VOLUMES

 

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.

 

PAPERS

 

1.      D. Crnković, Regular Hadamard matrices constructed from Hadamard 2-designs and conference graphs, Discrete Math., to appear.

2.      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.

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

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

5.      D. Crnković, N. Mostarac, PD-sets for codes related to flag-transitive symmetric designs, Trans. Comb., to appear.

6.      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.

7.      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.

8.      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.

9.      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.

10.      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.

11.      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.

12.      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.

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

14.      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.

15.      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.

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

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

18.      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.

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

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

21.      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.

22.  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).

23.  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).

24.      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.

25.      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.

26.      D. Crnković, V. Mikulić Crnković, B. G. Rodrigues, Some optimal codes and strongly regular graphs from the linear group L4(3), Util. Math. 89 (2012), 237-255.

27.      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.

28.      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/).

29.      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.

30.      D. Crnković, V. Mikulić, B. G. Rodrigues, Some strongly regular graphs and self-orthogonal codes from the unitary group U4(3), Glas. Mat. Ser. III 45, No. 2 (2010), 307-323.

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

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

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

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

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

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

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

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

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

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

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

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

43.  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.

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

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

46.  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.

47.  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).

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

49.  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.

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

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

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

53.  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.

54.  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.

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

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

57.  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.

58.  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.

59.  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.

60.  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.

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

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

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

64.  D. Crnković, S. Rukavina, Hadamard 2-(47,23,11) Designs having Frob55 as an Automorphism Group, Electron. Notes Discrete Math. 10 (2001), 88-89 (electronic), (http://www.elsevier.com/locate/endm).

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

66.  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.

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

68.  D. Crnković, S. Rukavina, Symmetric (66,26,10) designs having Frob55 as an automorphism group, Glas. Mat. Ser. III 35 (55), No. 2 (2000), 271-281.

69.  D. Crnković, Symmetric (70,24,8) designs having Frob21 × Z2 as an automorphism group, Glas. Mat. Ser. III 34 (54), No. 2 (1999), 109-121.

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

71.  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.

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