Dean Crnković

Faculty of Mathematics

University of Rijeka

Radmile Matejčić 2, 51000 Rijeka, Croatia

e-mail: deanc@math.uniri.hr 

 

 

LIST OF PUBLICATIONS

 

VOLUMES EDITED

 

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, D. Dumičić Danilović, The non-abelian group of order 26 acting on Steiner 2-designs S(2,6,91), Rad Hrvat. Akad. Znan. Umjet. Mat. Znan., to appear.

2.      M. Braun, D. Crnković, M. De Boeck, V. Mikulić Crnković, A. Švob, q-Analogs of strongly regular graphs, Linear Algebra Appl., to appear.

3.      D. Crnković, M. Mravić, S. Rukavina, Construction of extremal Z4-codes using a neighborhood search algorithm, Adv. Math. Commun., to appear.

4.      D. Crnković, A. Švob, Constructing doubly even self-dual codes and even unimodular lattices from Hadamard matrices, Appl. Algebra Engrg. Comm. Comput., to appear.

5.      D. Crnković, V. Mikulić Crnković, F. Pavese, A. Švob, Construction of the projective plane PG(2,q2) from the unitary group PSU(3,q), Contrib. Discrete Math., to appear.

6.      D. Crnković, S. Rukavina, A. Švob, Self-orthogonal codes from equitable partitions of distance-regular graphs, Adv. Math. Commun. 18 (2024), 651-660.

7.      D. Crnković, A. Švob, Self-orthogonal codes from Deza graphs, normally regular digraphs and Deza digraphs, Graphs Combin. 40 (2024), article no. 35, 12 pages.

8.      D. Crnković, N. Mostarac, A. Švob, Distance-regular graphs and new block designs obtained from the Mathieu groups, Appl. Algebra Engrg. Comm. Comput. 35 (2024), 177-194 .

9.      D. Crnković, D. R. Hawtin, N. Mostarac, A. Švob, Neighbour-transitive codes in Kneser graphs, J. Combin. Theory Ser. A 204 (2024), 105850, 18 pages.

10.      D. Crnković, H. Kharaghani, S. Suda, A. Švob, New constructions of Deza digraphs, Int. J. Group Theory 13 (2024), 225-240.

11.      D. Crnković, A. Grbac, A. Švob, Block designs from self-dual codes obtained from Paley designs and Paley graphs, Glas. Mat. Ser. III 58 (78), No. 2 (2023), 167-179.

12.      D. Crnković, A. Švob, LCD subspace codes, Des. Codes Cryptogr. 91 (2023), 3215-3226.

13.      D. Crnković, A. Švob, Tolerance fuzzy graphs, J. Intell. Fuzzy Systems 45 (2023), 4023–4029.

14.      D. Crnković, A. Švob, New example of strongly regular graph with parameters (81,30,9,12) and a simple group A5 as the automorphism group, Ex. Countex. 4 (2023), 100119, 2 pages.

15.      D. Crnković, F. Pavese, A. Švob, Intriguing sets of strongly regular graphs and their related structures, Contrib. Discrete Math. 18 (2023), 66–89.

16.      M. Shi, Y. Li, W. Cheng, D. Crnković, D. Krotov, P. Solé, Self-dual bent sequences for complex Hadamard matrices, Des. Codes Cryptogr. 91 (2023), 1453–1474.

17.      M. Shi, Y. Li, W. Cheng, D. Crnković, D. Krotov, P. Solé, Self-dual Hadamard bent sequences, J. Syst. Sci. Complex. 36 (2023), 894-908.

18.      D. Crnković, A. Grbac, A. Švob, Formally self-dual LCD codes from two-class association schemes, Appl. Algebra Engrg. Comm. Comput. 34 (2023), 183-200.

19.      D. Crnković, V. Mikulić Crnković, A. Švob, Construction of transitive q-analogs of designs, Math. Comput. Sci. 17 (2023), Paper No. 2, 5 pages.

20.      D. Crnković, S. Rukavina, M. Šimac, LDPC codes constructed from cubic symmetric graphs, Appl. Algebra Engrg. Comm. Comput. 33 (2022), 505-522.

21.      D. Crnković, A. Švob, Switching for 2-designs, Des. Codes Cryptogr. 90 (2022), 1585-1593.

22.      D. Crnković, D. R. Hawtin, A. Švob, Neighbour-transitive codes and partial spreads in generalised quadrangles, Des. Codes Cryptogr. 90 (2022), 1521-1533.

23.  D. Crnković, T. Zrinski, Constructing block designs with a prescribed automorphism group using genetic algorithm, J. Combin. Des. 30 (2022), 515-526.

24.      D. Crnković, S. Rukavina, M. Šimac, LDPC codes from cubic semisymmetric graphs, Ars Math. Contemp. 22 (2022), #P2.03, 13 pages.

25.      D. Crnković, D. Dumičić Danilović, R. Egan, A. Švob, Periodic Golay pairs and pairwise balanced designs, J. Algebraic Combin. 55 (2022), 245-257.

26.      D. Crnković, S. Rukavina, A. Švob, Self-orthogonal codes from equitable partitions of association schemes, J. Algebraic Combin. 55 (2022), 157-171.

27.      D. Crnković, S. Rukavina, New symmetric 2-(71,15,3) designs, Bull. Inst. Combin. Appl. 94 (2022), 79-94.

28.      D. Crnković, A. Švob, New constructions of divisible design Cayley graphs, Graphs Combin. 38 (2022), 17, 8 pages.

29.      D. Crnković, A. Švob, New symmetric 2-(176,50,14) designs, Discrete Math 344 (2021), 112623, 3 pages.

30.      D. Crnković, D. Dumičić Danilović, S. Rukavina, On automorphism groups of a biplane (121,16,2), Discrete Math. 344 (2021), 112508, 8 pages.

31.      D. Crnković, N. Mostarac, B. G. Rodrigues, L. Storme, s-PD-sets for codes from projective planes PG(2,2h), 5 ≤ h ≤ 9, Adv. Math. Commun. 15 (2021), 423-440.

32.      D. Crnković, R. Egan, B. G. Rodrigues, A. Švob, LCD codes from weighing matrices, Appl. Algebra Engrg. Comm. Comput. 32 (2021), 175–189.

33.      D. Crnković, A. Švob, Application of tolerance graphs to combat COVID-19 pandemic, SN Comput. Sci. 2 (2021), 83, 8 pages.

34.      D. Crnković, A. Švob, V. D. Tonchev, Strongly regular graphs with parameters (81,30,9,12) and a new partial geometry, J. Algebraic Combin. 53 (2021), 253-261.

35.      D. Crnković, R. Egan, A. Švob, Self-orthogonal codes from orbit matrices of Seidel and Laplacian matrices of strongly regular graphs, Adv. Math. Commun. 14 (2020), 591-602.

36.      D. Crnković, M. Maksimović, Strongly regular graphs with parameters (37,18,8,9) having nontrivial automorphisms, Art Discrete Appl. Math. 3 (2020), #P2.10, 8 pages.

37.      D. Crnković, S. Rukavina, A. Švob, On some distance-regular graphs with many vertices, J. Algebraic Combin. 51 (2020), 641-652.

38.      D. Crnković, M. Maksimović, Construction of strongly regular graphs having an automorphism group of composite order, Contrib. Discrete Math. 15 (2020), 22-41.

39.      D. Crnković, F. Pavese, A. Švob, On the PSU(4,2)-invariant vertex-transitive strongly regular (216,40,4,8) graph, Graphs Combin. 36 (2020), 503-513.

40.      D. Crnković, H. Kharaghani, A. Švob, Divisible design Cayley digraphs, Discrete Math. 343 (2020), 111784, 8 pages.

41.      S. Ban, D. Crnković, M. Mravić, S. Rukavina,New extremal Type II Z4-codes of length 32 obtained from Hadamard matrices, Discrete Math. Algorithms Appl. 11 (2019), 1950057, 18 pages (electronic) (http://dx.doi.org/10.1142/S1793830919500575).

42.      D. Crnković, A. Švob, V. D. Tonchev, Cyclotomic trace codes, Algorithms 2019, 12 (2019), 168, 10 pages (electronic) (https://doi.org/10.3390/a12080168).

43.      D. Crnković, D. Dumičić Danilović, S. Rukavina, M. Šimac, On some new Steiner 2-designs S(2,5,45), Util. Math. 111 (2019), 281-308.

44.      D. Crnković, S. Rukavina, M. Šimac, LDPC codes from μ-geodetic graphs obtained from block designs, Graphs Combin. 35 (2019), 451-469.

45.      D. Crnković, A. Švob, Transitive t-designs and strongly regular graphs constructed from linear groups L(2,q), q ≤ 23, Int. J. Group Theory 8 (2019), 43-64.

46.      D. Crnković, V. Mikulić Crnković, A. Švob, Block designs and strongly regular graphs admitting a transitive action of the Mathieu group M11, Australas. J. Combin. 73 (2019), 149–161.

47.      D. Crnković, R. Egan, A. Švob, Constructing self-orthogonal and Hermitian self-orthogonal codes via weighing matrices and orbit matrices, Finite Fields Appl. 55 (2019), 64-77.

48.      D. Crnković, D. Dumičić Danilović, S. Rukavina, On symmetric (78,22,6) designs and related self-orthogonal codes, Util. Math. 109 (2018), 227-253.

49.      D. Crnković, R. Egan, A note on Siamese twin designs intersecting in a BIBD and a PBD, Math. Comput. Sci. 12 (2018), 389-395.

50.      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. 96, No. S2, A6 (2018), 15 pages.

51.      D. Crnković, N. Mostarac, Self-dual codes from orbit matrices and quotient matrices of combinatorial designs, Discrete Math. 341 (2018), 3331–3343.

52.      D. Crnković, M. Maksimović, S. Rukavina, Codes from orbit matrices of strongly regular graphs, Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. 22(536) (2018), 23-38.

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

54.      D. Crnković, V. Mikulić Crnković, B. G. Rodrigues, On self-orthogonal designs and codes related to Held's simple group, Adv. Math. Commun. 12 (2018), 607-628.

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

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

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

58.      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.

59.      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.

60.      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.

61.      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.

62.      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.

63.      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.

64.      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.

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

66.      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.

67.      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.

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

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

70.      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.

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

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

73.      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.

74.  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).

75.  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).

76.      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.

77.      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.

78.      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.

79.      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.

80.      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 (http://www.hindawi.com/journals/ijct/2011/137356/).

81.      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.

82.      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.

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

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

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

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

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

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

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

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

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

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

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

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

95.  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.

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

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

98.  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.

99.  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).

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

101.  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.

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

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

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

105.  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.

106.  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.

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

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

109.  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.

110.  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.

111.  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.

112.  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.

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

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

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

116.  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).

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

118.  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.

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

120.  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.

121.  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.

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

123.  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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