List of peer-reviewed
publications
1) Topalova, S., Zhelezova, S., Parallelisms
of PG(3,4) with a Great Number of Regular Spreads.
In: Lirkov, I., Margenov,
S. (eds) Large-Scale Scientific Computations (LSSC 2023). Lecture Notes in
Computer Science, vol 13952. Springer, Cham, 2024, 444-452.
2)
Baicheva, T.; Topalova, S. Maximal (v, k, 2, 1) Optical
Orthogonal Codes with k = 6 and 7 and Small Lengths. Mathematics 2023, 11,
2457.
3)
Topalova, S.;
Zhelezova, S. Transitive
Deficiency One Parallelisms of PG(3, 7). Mathematics 2023, 11,
2458.
4)
Baicheva, T., Topalova, S., On the
diffusion of the Improved Generalized Feistel. Advances in Mathematics of
Communications, 16, 1, American Institute of Mathematical Sciences, 2022,
95-114.
5) Betten, A., Topalova, S., Zhelezova, S., Parallelisms
of PG(3,4) invariant under an elementary abelian group
of order 4. Applicable Algebra in Engineering, Communication and
Computing, 33, 6, Springer, 2022, 649-674.
6)
Topalova, S., Zhelezova S., Backtrack
search for parallelisms of projective spaces. In: Flocchini
P., Moura L. (eds) Combinatorial Algorithms. IWOCA 2021. LNCS, 12757, Springer,
2021, 544-557.
7)
Topalova, S., Zhelezova S., New
Parallelisms of PG(3,5) with Automorphisms of Order 8.
In: Boulier F., England M., Sadykov
T.M., Vorozhtsov E.V. (eds) Computer Algebra in
Scientific Computing. CASC 2021. LNCS, 12865, Springer, Cham, 2021, 409-419.
8)
Topalova, S., Zhelezova S., On parallelisms of PG(5,2) invariant under a cyclic subgroup of order 21.
XVII International Symposium Problems of Redundancy in Information and Control
Systems, IEEExplore, 2021, 97-100.
9)
Topalova, S., Zhelezova S., Parallelisms
of PG(3,5) with an automorphism group of order 25.
In: Nešetřil J., Perarnau
G., Rué J., Serra O. (eds) Extended Abstracts EuroComb 2021. Trends in Mathematics, 14, Springer Birkhäuser, Cham., 2021, 668-674.
10)
Topalova, S., Zhelezova S., Some parallelisms of PG(3,5) involving a definite type of spread. 2020
Algebraic and Combinatorial Coding Theory, IEEExplore,
2021, 135-139.
11)
Topalova, S., Zhelezova, S., Isomorphism
and Invariants of Parallelisms of Projective Spaces. Lecture Notes in
Computer Science, 12097, Springer, Cham, 2020, 162-172.
12)
Betten, A., Topalova, S., Zhelezova, S., New
Uniform Subregular Parallelisms of PG(3,4) Invariant Under an Automorphism of
Order 2. Cybernetics and Information Technologies, 20, 6, Institute of
Information and Communication Technologies - BAS, 2020, 18-27.
13)
Baicheva, T., Topalova S., On the diffusion property of the Improved Generalized
Feistel with different permutations for
each round, In: Ćirić M., Droste M., Pin JÉ. (eds), Algebraic Informatics, CAI
2019, Lecture Notes in Computer Science, 11545, Springer, 2019, 38-49.
14)
Betten, A., Topalova S., Zhelezova S., Parallelisms
of PG(3,4) invariant under cyclic groups of order 4, In: Ćirić
M., Droste M., Pin JÉ. (eds) Algebraic
Informatics, CAI 2019, Lecture Notes in Computer Science, 11545, Springer,
Cham, 2019, 88-99.
15)
Baicheva T., Topalova S., Classification
of optimal (v, k, 1) binary cyclically permutable constant weight codes with
k=5, 6 and 7 and small lengths, Designs
Codes and Cryptography 87 (2 – 3)
(2019), 1573-7586.
16)
Topalova S., Zhelezova S., Types of
spreads and duality of the parallelisms of PG(3,5) with automorphisms of order
13, Designs, Codes and
Cryptography 87 (2 – 3) (2019), 495-507.
17)
Baicheva T., Topalova S., Classification of
strongly conflict-avoiding codes,
IEEE Communications Letters 22 (12) (2018), 2415-2418.
18)
Betten A., Topalova S., Zhelezova S., Parallelisms
of PG(3, 4) invariant under a Baer involution, Proceedings of the 16th
International Workshop on Algebraic and Combinatorial Coding Theory, Svetlogorsk, Russia, 2018, 57-61.
19)
Baicheva, T., Topalova S., On Tight
Optimal Conflict-avoiding Codes for 3, 4, 5 and 6 Active Users, Cybernetics and Information Technologies
18 (5) (2018), 5-11.
20)
Baicheva T., Topalova S., Classification
of optimal conflict-avoiding codes of weights 6 and 7, Electronic Notes in Discrete Mathematics
57 (2017), 9 – 14.
21)
Baicheva T., Topalova S., Optimal
conflict-avoiding codes for 3, 4 and 5 active users, Problems of Information Transmission 53 (1) (2017), 42 - 50.
22)
S. Topalova, S. Zhelezova, New
parallelisms of PG(3, 4), Electronic
Notes in Discrete Mathematics 57 (2017), 193 - 198.
23)
Topalova S., Zhelezova S., New regular
parallelisms of PG(3,5), Journal of Combinatorial Designs 24 (10) (2016), 473 - 482..
24)
Topalova S., On
the resolutions of cyclic Steiner triple systems with small parameters,
Journal of Algebra Combinatorics Discrete
Structures and Applications 3 (3) (2016), 201 - 208.
25)
Topalova S., Conjugates for finding the automorphism group and
isomorphism of design resolutions, Serdica Journal of Computing 10 (1) (2016), 79 – 92.
26)
T. Baicheva and S. Topalova, Construction and classification of optimal
(v,5,3,1) optical orthogonal codes, International Scientific
Journal Science. Business. Society 5 (2016), 7 - 8.
27)
S. Topalova, S. Zhelezova, On
point-transitive and transitive deficiency one parallelisms of PG(3,4), Designs Codes and Cryptography 75(1) (2015), 9-19.
28)
Baicheva T., Topalova S., Maximal (v,4,3,1) optical orthogonal codes for
asynchronous transmission. In Proc. Scientitfic
Jubilee Conference 25 Years Faculty of Mathematics and Informatics, Veliko Tarnovo, Bulgaria (2015),
80--85.
29)
T. Baicheva, S. Topalova, Classification
of maximal optical orthogonal codes of weight 3 and small lengths, Serdica Journal of Computing 9(1) (2015), 83 –
92.
30)
S. Topalova, S. Zhelezova, Doubly resolvable designs with small parameters, Ars Combinatoria 117 (October) (2014),
289-302.
31)
R. Shaw, S. Topalova, Book
spreads in PG (7, 2), Discrete Mathematics 330 (2014), 76-86.
32)
T. Baicheva, S. Topalova, New perfect difference
families, Fourteenth International Workshop on Algebraic and
Combinatorial Coding Theory, September 7–13, 2014, Svetlogorsk
(Kaliningrad region), Russia, 18–23.
33)
McDonough T.P., Shaw R., Topalova
S., Classification
of book spreads in PG(5,2), Note Di Matematica, 33(2) (2013), 43-64.
34)
Topalova S., Zhelezova S., Orthogonal
resolutions and latin squares, Serdica Journal of Computing 7(1) (2013), 13 -
24.
35)
Topalova S., Zhelezova S., On
transitive parallelisms of PG(3,4), Applicable
Algebra in Engineering, Communication and Computing 24 (3-4) (2013), 159 -
164.
36)
Baicheva T., Topalova S., Optimal
(v,5,2,1) optical orthogonal codes of small v, Applicable Algebra in Engineering, Communication and Computing 24
(3-4) (2013), 165 - 177.
37)
S. Topalova, S. Zhelezova, Parallelisms of PG(3,5) with automorphisms of order 13, Proceedings
of the Seventh International Workshop on Optimal Codes and Related Topics, Albena, Bulgaria
(2013), 176 – 180.
38)
Baicheva T., Topalova S., Classification
results for (v, k, 1) cyclic difference families with small parameters,
Mathematics of Distances and Applications,
M. Deza, M. Petitjean, K.
Markov eds., in International book series: Information
Science and Computing, book 25 (2012),
24 – 30.
39)
T. Baicheva, S. Topalova, Optimal (v, 3, 1)
binary cyclically permutable constant weight codes with small v, Proc.
of the International Workshop on Algebraic and Combinatorial Coding Theory, Pomorie, Bulgaria, pp. 41 -- 46, 2012.
40)
R. Shaw, S.Topalova, On the types of
book spreads of PG(7,2), Proc. of the International Workshop on
Algebraic and Combinatorial Coding Theory, Pomorie,
Bulgaria, pp. 293 - 298, 2012.
41)
S. Topalova, S. Zhelezova, Parallelisms of
PG(3,4) with automorphisms of order 5, Proc. of the International
Workshop on Algebraic and Combinatorial Coding Theory, Pomorie,
Bulgaria, pp. 311- 316, 2012.
42)
T. Baicheva, S. Topalova, Classification
results for (v, k, 1) cyclic difference families with small parameters,
Abstracts of ITHEA International Conference "Mathematics of Distances and
Applications" (
43)
T. Baicheva, S. Topalova, Optimal
(v, 4, 2, 1) optical orthogonal codes with small parameters , Journal of Combinatorial Designs 20 (2)
(2012), 142-160.
44)
T. Baicheva, S. Topalova, Classification of
optimal (v,4,1) binary cyclically permutable constant-weight codes and cyclic
2-(v,4,1) designs with v£76, Problems
of Information Transmission 47(3) (2011),
224–231.
45)
T. Baicheva and S. Topalova, Optimal (v,
5, 2, 1) optical orthogonal codes with v≤104, Proc. of Annual Workshop on Coding Theory and Applications, Gabrovo,
Bulgaria (2011), 11-14.
46)
T. Baicheva and S. Topalova, Classification of
optical orthogonal codes and spreads by backtrack search on a parallel computer,
Proc. of Annual Workshop on Coding Theory
and Applications, Gabrovo, Bulgaria (2011), 7-10.
47)
S. Topalova, S. Zhelezova, 2-spreads and
transitive and orthogonal 2-parallelisms of PG(5,2), Graphs and Combinatorics,
26(5) (2010), 727 - 735.
48)
T. Baicheva and S. Topalova, An algorithm for
classification of optimal optical orthogonal codes , Proc. of Annual
Workshop Coding Theory and Applications,
Veliko Tarnovo, Bulgaria
(2010) 11-14.
49)
T. Baicheva and S. Topalova, Classification
of optimal (v,4,1) optical orthogonal codes with v<=76, Proc. of the
International Workshop on Algebraic and
Combinatorial Coding Theory,
50)
S. Topalova, S. Zhelezova, Parallelisms of PG(3,4)
with automorphisms of order 7, Proceedings
of the Sixth International Workshop on Optimal Codes and Related Topics, Varna, June 2009, Bulgaria, 184-188.
51)
Z. Mateva, S. Topalova, Hadamard
2-(63,31,15) designs invariant under the dihedral group of order 10, Discrete
Mathematics, Volume 309, Issue 6 (2009), 1347-1356.
52)
Z. Mateva, S. Topalova, Line
spreads of PG(5,2), Journal of Combinatorial Designs 17(1) (2009), 90-102.
53)
S.Topalova, S.Zhelezova, Classification
of doubly resolvable designs and orthogonal resolutions, Enhancing
Cryptographic Primitives with Techniques from Error Correcting codes, B.Preneel, S.Dodunekov, V. Rijmen, S. Nikova eds., in NATO Science for Peace and
Security Series - D: Information and Communication Security, Volume 23, IOS Press, Amsterdam (2009), 260 - 264.
54)
S. Topalova, S. Zhelezova, Sets of mutually orthogonal resolutions of
BIBDs, Proceedings of the Eleventh International Workshop on Algebraic and Combinatorial Coding Theory,
Pamporovo, Bulgaria (2008), 280-285.
55)
S. Topalova, S. Zhelezova,
Classification of the 2-spreads of PG(5,2), Mathematics and Education in Mathematics (2008), 163-169.
56)
Kaski P., Östergård P., Topalova
S., Zlatarski R.,
Steiner Triple Systems of Order 19 and 21 with
Subsystems of Order 7, Discrete Mathematics 308 (2008),
2732-2741.
57)
Z. Mateva, S. Topalova, Doubles of Hadamard 2-(19,9,4) Designs with
Automorphisms of Order 3, Proceedings
of the Fifth International Workshop on Optimal Codes and Related Topics,
Balchik, June 2007, Bulgaria, 183-189.
58)
S. Topalova,
59)
Z. Mateva,
60)
V. Fack, S. Topalova, J. Winne, R. Zlatarski, Enumeration
of the doubles of the projective plane of order 4, Discrete
Mathematics 306 (2006) 2141-2151.
61)
Z. Mateva,
62)
S. Topalova, S. Zhelezova, On the structure of doubly resolvable 2-(21,3,1)
designs, Proceedings of the Tenth
International Workshop on Algebraic and Combinatorial Coding Theory,
Zvenigorod, Russia (2006), 263-268.
63)
S. Topalova, S. Zhelezova, On the classification of doubly resolvable
designs, Proceedings of the Fourth
International Workshop on Optimal Codes and Related Topics,
Pamporovo, June 2005,
64)
V. Fack, S. Topalova, J. Winne, Enumeration of the reducible 2-(21,5,2)
designs, Proceedings of the Fourth International Workshop on Optimal
Codes and Related Topics , Pamporovo, Bulgaria (2005), 146-151.
65)
V. Fack,
66)
Topalova S., STS(21) with
Automorphisms of order 3 with 3 fixed points and 7 fixed blocks, Mathematica
Balkanica
18 (1-2) (2004), 215-220.
67)
Topalova S., Zlatarski R., Construction of doubles of the 2-(21,5,1)
design with automorphisms of order 2, Proceedings
of the Ninth International Workshop on Algebraic and Combinatorial Coding
Theory, Kranevo, Bulgaria (2004), 379-383.
68)
Topalova S., Classification
of Hadamard matrices of order 44 with Automorphisms of order 7, Discrete
Mathematics 260 (1-3) (2003), 275-283.
69)
Topalova S., Zlatarsky R., On STS(21) of
70)
Topalova S., Zlatarsky R., Construction of STS(21) of
71)
Topalova S., Groups of
automorphisms and enumeration of combinatorial designs, Proceedings of the EWM International Workshop on Groups and Graphs,
Varna, Bulgaria (2002), 105 - 110.
72)
Topalova S., Zlatarsky R., Construction of STS(21) with automorphisms of
order 2, Proceedings of the Third
International Workshop on Optimal Codes and Related Topics, Sunny
Beach, Bulgaria (2001), 147 - 150.
73)
Topalova S., Symmetric
2-(69,17,4) Designs with Automorphisms of order 13, J. Statistical
Planning and Inference 95 (2001), 335 - 339.
74)
Solov'eva F., Topalova S., Perfect
binary codes and Steiner triple systems with the maximal order of the
automorphism group, Diskretnii analis i issledovanie
operatsii series 1, vol. 7, N4 (2000), 101-110
(in Russian).
75)
Solov'eva F., Topalova S., On
the automorphism group of perfect binary codes and Steiner triple systems,
Problems of Information Transmission
36 (4) (2000), 331-335.
76)
Solov’eva F. I., Topalova S. T. On the automorphism groups of perfect binary
codes, Proc. Seventh Int. Workshop on Algebraic and Comb. Coding Theory. Bansko, Bulgaria (2000), 283–287.
77)
Topalova S., Hadamard
matrices of order 44 with automorphisms of order 7, Proceedings of the Seventh International Workshop on Algebraic and
Combinatorial Coding Theory, Bansko,
Bulgaria} (2000), 305-310.
78)
Topalova S., 2-(51,6,2)
designs with automorphisms of order 51, Proceedings
of the Sixth International Workshop on Algebraic and Combinatorial
Coding Theory, Pskov, Russia (1998), 220-223.
79)
Topalova S., Hadamard
2-(43,21,10) designs with automorphisms of order 21 and binary self-dual codes
of lengths 86 and 88, Proceedings of
the Second International Workshop on Optimal Codes and Related Topics,
Sozopol, Bulgaria (1998), 193-197.
80)
Topalova S., Designs from
tactical configurations, Mathematics and Education in Mathematics (1998),
135-138.
81)
Topalova S., Construction
and study of combinatorial designs with certain automorphisms, Ph. D. Thesis,
Sofia (1998) (in Bulgarian).
82)
Topalova S., Enumeration
of 2-(21,5,2) designs with automorphisms of an odd prime order, Discretnyi Analis i Issledovanie operatsii (In Russian) series 1, vol.5, N1 (1998),
64-81.
83)
Kapralov S.N., Topalova S., Enumeration of 2-(21,6,3) Designs with
Automorphisms of Order 7 or 5, Ars Combinatoria
48 (1998), 135-146.
84)
Landjev I., Topalova S., New Symmetric
(61,16,4) designs invariant under the dihedral group of order 10, Serdika Mathematical Journal 24 (2) (1998),
179-186.
85)
Topalova S., Enumeration of
2-(25,5,2) Designs with an automorphism of order 5, Journal of Combinatorics, Information and System
Sciences 22 (3-4) (1997), 161-176.
86)
Topalova S., On the order
of the automorphism group of 2-(40,10,3) designs, Mathematics and Education
in Mathematics (1996), 161-166.
87)
Topalova S., Enumeration of
2-(25,5,2) Designs with an Automorphism of order 5 with 5 fixed points and 10
fixed blocks, Mathematics and Education in Mathematics (1997), 198-201.
88)
Topalova S., Enumeration of
2-(25,5,2) Designs with automorphisms of order 5 without fixed points and with
5 or 10 fixed blocks, Proceedings of the Fifth International Workshop on Algebraic and Combinatorial Coding Theory,
Sozopol, Bulgaria
(1996), 288-294.
89)
Topalova S., Enumeration of
2-(21,5,2) designs with an automorphism of order 5, Mathematics and Education in Mathematics (1995), 241-253.
90)
Topalova S., Enumeration of
2-(21,5,2) designs with an automorphism of order 7, Proceedings of the Fourth
International Workshop on Algebraic and
Combinatorial Coding Theory,
Novgorod, Russia (1994), 187-189.
91)
Baicheva Ts., Bogdanova G., Ilieva S., Topalova S., Object-oriented C++ library for computations
in and over finite fields of characteristic 2, Mathematics and Education in
Mathematics (1994), 227-230.
92)
Kapralov S.N., Topalova S., On the Steiner Triple Systems of order 21 with
automorphisms of order 3, Proceedings
of the Third International Workshop on Algebraic and Combinatorial Coding
Theory, V.Voda, Bulgaria (1992), 105-108.
93)
Manev N., Topalova S., A software system for testing Reed-Solomon
codes in different channels, Mathematics
and Education in Mathematics (1992) (in Bulgarian), 304-306.
94)
Baicheva T., Topalova S., Bogdanova G., Ilieva S., Software implementation of spectral methods for
coding and decoding of BCH codes, Mathematics
and Education in Mathematics (1992) (in Bulgarian), 291-294.
Ph. D. Thesis
Topalova S., Construction
and study of combinatorial designs with certain automorphisms, Ph. D. Thesis,
Sofia (1998) (in Bulgarian).