Publications of Tran van Trung
REFEREED PUBLICATIONS
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Tran van Trung,
Finite simple groups in which the centralizer M of some
involution is solvable and the generalized Fitting group of M is
extraspecial,
Arch. Math. 31 (1978), 545--553.
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Tran van Trung,
The nonexistence of certain type of finite simple group,
J. Algebra 60 (1979), 546--551.
Tran van Trung,
A note on groups with `large extraspecial'' subgroups of width 4 ,
J. Algebra 60 (1979), 563--566.
Tran van Trung,
A characterization of the groups D_4(2^n),
J. Algebra 60 (1979), 520--537.
Tran van Trung,
A characterization of the finite simple group ^2D_4(2) ,
J. Algebra 60 (1979), 552--558.
Tran van Trung,
A general characterization of the simple group D_4(2),
J. Algebra 60 (1979), 538--545.
Tran van Trung,
On the `Monster'' simple group,
J. Algebra 60 (1979), 559--562.
Tran van Trung,
Eine Kennzeichnung der endlichen einfachen Gruppe J_4
von Janko durch eine 2-lokale Untergruppe ,
Rend. Sem. Mat. Univ. Padova 62 (1980), 35--45.
Z. Janko and Tran van Trung,
On projective planes of order twelve and twenty,
Math. Z. 173 (1980), 199--201.
Z. Janko and Tran van Trung,
On projective planes of order 12 which have a subplane
of order 3,
J. Comb. Theory Ser.A 29 (1980), 254--256.
Tran van Trung,
Plans projectifs d'ordre 16 ayant un groupe de Frobenius
d'ordre 34,
Math. Z. 175 (1980), 97--102.
Z. Janko and Tran van Trung,
On projective planes of order 12 with an automorphism of
order 13, Part I,
Geom. Dedicata 11 (1981), 257--284.
Z. Janko and Tran van Trung,
On projective planes of order 12 with an automorphism of
order 13, Part II,
Geom. Dedicata 12 (1982), 87--99.
Z. Janko and Tran van Trung,
The full collineation group of any projective plane of
order 12 is a {2,3}-group,
Geom. Dedicata 12 (1982), 101--110.
Z. Janko and Tran van Trung,
Projective planes of order 12
do not have a non-abelian
group of order 6 as a collineation group,
J. Reine Angew. Math. 326 (1981), 152--157.
Z. Janko and Tran van Trung,
A generalization of a result of L.~Baumert and M.~Hall
about projective planes of order 12,
J. Comb. Theory Ser.A 32 (1982), 378--385.
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Z. Janko and Tran van Trung,
Projective planes of order 12 do not have a four group
as a collineation group,
J. Comb. Theory Ser.A 32 (1982), 401--404.
Z. Janko and Tran van Trung,
Projective planes of order 12 do not possess an elation of
order 3,
Studia Sci. Math. Hungar. 16 (1981), 115--118.
Z. Janko and Tran van Trung,
Determination of projective planes of order 9 with a non-trivial
perspectivity,
Studia Sci. Math. Hungar. 16 (1981), 119.
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Z. Janko and Tran van Trung,
Projective planes of order 10 do not have a collineation of
order 3,
J. Reine Angew. Math. 325 (1981), 189--209.
Z. Janko and Tran van Trung,
Two new semibiplanes,
J. Comb. Theory Ser.A 33 (1982), 102--105.
Z. Janko and Tran van Trung,
The classification of projective planes of order 9 which
possess an involution,
J. Comb. Theory Ser.A 33 (1982), 65--75.
Tran van Trung,
The existence of symmetric block designs with parameters
(41,16,6) and (66,26,10),
J. Comb. Theory Ser.A 33 (1982), 201--204.
Z. Janko and Tran van Trung,
Answers to two questions about semi-symmetric designs,
J. Comb. Theory Ser.A f37 (1984), 357--358.
Tran van Trung,
On the existence of an infinite family of simple 5-designs,
Math. Z. 187 (1984), 285--287.
Z. Janko and Tran van Trung,
Construction of a new symmetric block design for (78,22,6) with
the help of tactical decompositions,
J. Comb. Theory Ser.A 40 (1985), 451--455.
Z. Janko and Tran van Trung,
Construction of two symmetric block designs for (71,21,6),
Discr. Math. 55 (1985), 327--328.
Z. Janko and Tran van Trung,
The existence of a symmetric block design for (70,24,8),
Mitt. Math. Sem. Gießen 165 (1984), 17--18.
Z. Janko and Tran van Trung,
A new biplane of order 9 with a small automorphism group,
J. Comb. Theory Ser.A 42 (1986), 305--309.
Tran van Trung,
A symmetric block design with parameters (61,16,4),
J. Comb. Theory Ser.A 37 (1984), 374.
Tran van Trung,
On the construction of t-designs and the existence of some
new infinite families of simple 5-designs,
Arch. Math. 47 (1986), 187--192.
Tran van Trung,
Non-embeddable quasi-residual designs with k < v/2,
J. Comb. Theory Ser.A 43 (1986), 133--137.
Tran van Trung,
Nonembeddable quasi-residual designs,
Contemporary Mathematics 111 (1990), 237--278.
Tran van Trung,
Maximal arcs and related designs,
J. Comb. Theory Ser.A 57 (1991), 294--301.
E.S.Kramer, S.S.Magliveras and Tran van Trung,
Possible automorphism groups of an S(3,5,26),
JCMCC 12 (1992), 119--127.
E.S.Kramer, S.S. Magliveras, Tran van Trung
and Qiu-Rong Wu,
Some perpendicular arrays for arbitrarily large t,
Discrete Math. 96 (1991), 101--110.
J.Bierbrauer and Tran van Trung,
Halving PGL(2,2^f), f odd: a series of cryptocodes,
Designs, Codes and Cryptography 1 (1991), 141-148.
J. Bierbrauer and Tran van Trung,
Some highly symmetric authentication perpendicular arrays,
Designs, Codes and Cryptography 1 (1992), 307-319.
Tran van Trung,
Some existence theorems for t-designs,
Discrete Math. 128 (1994), 337--348.
E. Spence, V.D. Tonchev and Tran van Trung,
A symmetric 2-(160,54,18) design,
J. Comb. Designs 1 (1993), 65-68.
Tran van Trung,
Combinatorial characterization of certain universal
classes of hash functions,
J. Comb. Designs 2 (1994), 161--166.
T. Horvath, S.S. Magliveras and Tran van Trung,
A Parallel Permutation Multiplier for a PGM Crypto-Chip,
Advances in Cryptology-CRYPTO'94, edited by Yvo G.Desmedt),
Lecture Notes in Computer
Sciences 839, 108-113 (1994), Springer-Verlag.
Tran van Trung,
On the construction of authentication and secrecy codes,
Designs, Codes and Cryptography 5 (1995), 269--280.
Tran van Trung,
Symmetric designs,
The CRC Handbook of
Combinatorial Designs, ed. by C.J. Colbourn and J.H. Dinitz,
(1996), pp 75--87.
Tran van Trung, Qiu-Rong Wu and Dale M. Mesner,
High order intersection numbers for t-designs,
J. Stat. Planning Inf. 56 (1996), 257--268.
R. Mathon and Tran van Trung,
Unitals and Unitary Polarities in Symmetric Designs,
Designs, Codes and Crytography 10 (1997), 237--250.
D.R. Stinson and Tran van Trung,
New Results on Key Distribution Patterns and Broadcast Encryption,
Designs, Codes and Cryptography 14 (1998), 261-279.
Tran van Trung,
Constructions for Near Resolvable Designs and BIBDs,
J. Combin. Designs 7 (1999), 227--231.
R. Mathon and Tran van Trung,
Directed t-Packings and Directed t-Steiner Systems,
Designs, Codes and Cryptography 18 (1999) 187--198.
Tran van Trung,
Recursive constructions for 3-designs and resolvable 3-designs,
Journal of Statistical Planning and Inference
95 (2001), 341--358.
D.R. Stinson, Tran van Trung and R. Wei,
Secure Frameproof Codes, Key Distribution Patterns,
Group Testing Algorithms and Related Structures,
Journal of Statistical Planning and Inference
86 (2000), 595--617.
Tran van Trung,
Construction of 3-designs using parallelism,
J. Geom. 67 (2000), 223--235.
V. Canda, Tran van Trung, S.S. Magliveras and
T. Horvath,
Symmetric block ciphers based on group bases,
Selected Areas in Cryptography, SAC'2000
Ed. D.~Stinson and S.~ Tavares, LNCS, (2001) pp.98--105.
S. S. Magliveras, D. R. Stinson and
Tran van Trung,
New approaches to designing public key cryptosystems
using one-way functions and trap-doors in finite groups,
Journal of Cryptology 15 (2002), pp. 285--297.
V. Canda and Tran van Trung,
Scalable Block Ciphers Based on Feistel-like Structure,
Tatra Mt. Math.Publ. 25 (2002), pp. 39--66.
Tran van Trung and Sosina Martirosyan,
On a Class of Traceability Codes,
Designs, Codes and
Cryptography, 31 (2004), pp. 125--132.
Tran van Trung and Sosina Martirosyan,
New constructions for IPP Codes,
Designs, Codes and Cryptography 35 (2005), pp. 227--239.
Wandi Wei, Tran van Trung, Spyros Magliveras
and Frederick Hoffman,
Cryptographic primitives based on groups of hidden order,
Tatra Mt. Math. J., 29 (2004), pp. 147--155.
Otokar Grosek, Peter Horak and Tran van Trung,
On non-plolynomial latin squares,
Designs, Codes and Cryptography 32 (2004), pp. 217--226.
Sosina Martirosyan and Tran van Trung,
On t-covering arrays,
Designs, Codes and Cryptography
32 (2004), pp. 323--339.
Wolfgang Lempken and Tran van Trung,
On minimal logarithmic signatures of finite groups,
Experimental Mathematics
14 (2005), pp. 257--269
Valer Canda and Tran van Trung,
A new mode of using all-or-nothing transforms,
Tatra Mt. Math. Publ.
33 (2006), pp. 159--168
Yuri J. Ionin and Tran van Trung,
Symmetric Designs,
Handbook of Combinatorial Designs, 2nd Ed.
C.J.Colbourn and J.H.Dinitz, CRC-Press (2006), pp. 110--123
C. J. Colbourn, S. S. Martirosyan,
Tran van Trung, R. A. Walker II,
Roux-type constructions for covering arrays
of strengths three and four,
Designs, Codes and Cryptography,
41 (2006), pp. 35--57
Pavol Svaba, Tran van Trung,
On generation of random covers for finite groups,
Tatra Mt. Math. Publ.,
37 (2007), pp. 105--112
S.S. Magliveras, Tran van Trung, Wandi Wei,
Primitive sets in a lattice,
Australasian Journal of Combinatorics, 40 (2008), pp. 173--186.
S. S. Martirosyan, Tran van Trung,
Explicit constructions for perfect hash families,
Designs, Codes and Cryptography,
46 (2008), pp. 97--112
W. Lempken, Tran van Trung, S.S. Magliveras, Wandi Wei,
A public key cryptosystem based on non-abelian finite groups,
J. Cryptol., 22 (2009), pp. 62--74
Pavol Svaba, Tran van Trung,
Public key cryptosystem MST3: cryptanalysis and realization,
J. Math. Cryptol., 4 (2010), pp. 271--315
Pascal Marquardt, Pavol Svaba, Tran van Trung,
Pseudorandom number generators based on random covers for
finite groups
Designs, Codes and Cryptography,
DOI:10.1007/s10623-011-9485-1
Spyros S. Magliveras, Tran van Trung, Wandi Wei,
On Jacobsthal Binary Sequences
NATO Science for Peace and Security Series-D:
Information and Communication Security, vol 29, 2011
Information Security, Coding Theory and Related Combinatorics,
Eds. Dean Crnkovic, Vladimir Tonchev
DOI:10.3223/978-1-60750-663-8-27
Marjan Bazrafshan, Tran van Trung,
Bounds for separating hash families,
J. Comb. Theory, Ser. A, 118 (2011), pp. 1129--1135
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