Journal Papers
Papers submitted to refereed journals, currently in the refereeing process, are not listed here.
To appear
- Gennian Ge, Ying Miao and Zhongxiang Yao, Optimal Frequency Hopping Sequences: Auto- and Cross-Correlation
Properties, IEEE Trans. Inform. Theory, to appear.
- Charles J. Colbourn, Hung-Lin Fu, Gennian Ge,
Alan C.H. Ling and Hui-Chuan Lu, Minimizing SONET ADMs in Unidirectional WDM Rings with Grooming
Ratio 7, SIAM J. Discrete Math., to appear.
- Weidong Guo and Gennian Ge, The Existence of Generalized Mix Functions, Designs, Codes and Cryptography, to appear.
- Xianwei Sun and Gennian Ge, Resolvable group divisible designs with block size four and general index, Discrete Maths., to appear.
- R. J. R. Abel, Gennian Ge, Malcolm Greig and Alan
C.H. Ling, Further Results on $(v, \{5, w^*\}, 1)$-PBDs, Discrete Maths., to appear.
- R. Julian R. Abel and Gennian Ge, Ordered
Tournaments and Ordered Triplewhist Tournaments
with the Three Person Property, J. Combin. Designs, to appear.
- Charles J. Colbourn, Gennian Ge and Alan C.H.
Ling, Graph Designs for the Eight-Edge Five-Vertex Graphs, Discrete Maths., to appear.
2008
- Yeow Meng Chee, Gennian Ge and Alan C.H. Ling, Group Divisible Codes and Their Application in the
Construction of Optimal Constant-Composition Codes of Weight
Three, IEEE Trans.
Inform. Theory 54 (2008), 3552-3564.
- Gennian Ge, Martin~Gr{\"u}ttm{\"u}ller,
Sven~Hartmann and Rolf~Rees, Mandatory Representation Designs
MRD$(4,k;v)$ with $k\equiv 2 \pmod 3$, Discrete Maths 308 (2008), 5394-5406.
- Yunqing Xu, Yanxun Chang, Gennian Ge and Hantao
Zhang, Frame self-orthogonal Mendelsohn triple systems of
type $h^n$, Discrete Maths. 308 (2008), 5049-5063.
- R. Julian R. Abel,
Frank E. Bennett and Gennian Ge, Super-Simple Holey
Steiner Pentagon Systems and
Related Designs, J. Combin. Designs 16 (2008), 301-328.
- R. Julian R. Abel, Frank E. Bennett and
Gennian Ge, Existence of Directed Triplewhist Tournaments
with the Three Person Property $3PDTWh(v)$, Discrete applied Maths. 156 (2008), 2655-2665.
- Gennian Ge, Malcolm Greig, Alan C.H. Ling and R.S.
Rees, Resolvable balanced incomplete block designs with
subdesigns of block size 4, Discrete Maths. 308 (2008), 2674-2703.
- Gennian Ge, Construction of optimal ternary constant weight codes via Bhaskar Rao designs, Discrete Maths. 308 (2008), 2704-2708.
- Gennian Ge, Alan C.H. Ling and Ying Miao, A
Systematic Construction for Radar Arrays, IEEE Trans.
Inform. Theory 54 (2008), 410-414.
2007
- Gennian Ge and Alan C.H. Ling, On the
existence of $(K_{5} \setminus e)$-designs with application to
optical networks, SIAM J. Discrete
Math. 21 (2007), 851-864.
- Gennian Ge, Triplewhist tournaments with the
three person property, J. Combin. Theory (A) 114 (2007), 1438-1455.
- Gennian Ge, R.S. Rees and Nabil Shalaby, Kirkman frames having hole type $h^um^1$ for small $h$, Designs,
Codes and Cryptography 45 (2007), 157-184.
- Xiande Zhang and Gennian Ge, Existence of
Z-cyclic 3PDTWh$(p)$ for prime $p \equiv 1 \ ($mod$ \ 4)$, Designs,
Codes and Cryptography 45 (2007), 139-155.
- Gennian Ge and Alan C.H. Ling, On the
existence of resolvable $K_{4} -e$ designs, J. Combin. Designs 15 (2007), 502-510.
- Yang Li, Jianxing Yin, Rucong Zhang and Gennian Ge, The decomposition of $K_v$ into $ K_2\times K_5$'s, Science in
China (A) 50 (2007), 1382-1388.
- Yu Tang, Mingyao Ai, Gennian Ge and Kai-Tai Fang, Optimal Mixed-level Supersaturated Designs and a New Class of
Combinatorial Designs, J. Stat. Plan. Infer. 137 (2007), 2294-2301.
- Xiande Zhang and Gennian Ge, Super-simple
resolvable balanced incomplete block designs with block size 4 and index
2, J. Combin. Designs 15 (2007), 341-356.
- Xiande Zhang and Gennian Ge, On the existence
of partitionable skew Room frames, Discrete Maths. 307 (2007), 2786-2807.
- Gennian Ge, Malcolm Greig, Jennifer Seberry and
Ralph Seberry, Generalized Bhaskar Rao designs with block
size 3 over finite Abelian groups, Graphs and Combinatorics 23 (2007), 271-290.
- Mingyao Ai, Gennian Ge and Ling-Yau Chan, Circular Neighbor-balanced Designs Universally Optimal for Total
Effects, Science in China (A) 50 (2007), 821-828.
- Gennian Ge, General frame constructions for
$Z$-cyclic triplewhist tournaments, J. Combin. Theory (A) 114 (2007), 747-760.
2006
- Gennian Ge, Ryoh Fuji-Hara and Ying Miao, Further Combinatorial Constructions for Optimal Frequency-Hopping
Sequences, J. Combin. Theory (A) 113 (2006), 1699-1718.
- Zhenfu Cao, Gennian Ge and Ying Miao, Combinatorial characterizations of one-coincidence
frequency-hopping sequences, Designs, Codes and
Cryptography 41 (2006), 177-184.
- F. E. Bennett and Gennian Ge, Existence of
Directedwhist Tournaments with the Three Person Property
3PDWh(v), Discrete applied Maths. 154 (2006), 1939-1946.
- R. Julian R. Abel, Norman J. Finizio, Gennian Ge
and Malcolm Greig, New Z-Cyclic Triplewhist Frames and
Triplewhist Tournament Designs, Discrete applied Maths. 154 (2006), 1649-1673.
- Gennian Ge, Y. Miao and L. Zhu, GOB Designs
for Authentication Codes with Arbitration, Designs, Codes and
Cryptography 40 (2006), 303-317.
- Gennian Ge, Resolvable group divisible designs
with block size four and index three, Discrete Maths. 306 (2006), 52-65.
- Gennian Ge, E. R. Lamken and Alan C.H. Ling, Scheduling CCRR Tournaments, J. Combin. Theory (A) 113 (2006), 352-379.
2005
- Jean-Claude Bermond, Charles J. Colbourn, David
Coudert, Gennian Ge, Alan C.H. Ling and Xavier Mu{\~{n}}oz, Traffic Grooming in Unidirectional WDM rings with Grooming Ratio
C=6, SIAM J. Discrete Math. 19 (2005), 523-542.
- Gennian Ge, On (g,4;1)-difference matrices, Discrete Maths. 301 (2005), 164-174.
- R. J. R. Abel and Gennian Ge, Some Difference
Matrix Constructions and an Almost Completion for the Existence of
Triplewhist Tournaments TWh(v), European J. Combin. 26 (2005), 1094-1104.
- Gennian Ge and Alan C.H. Ling, Constructions
of quad-rooted double covers, Graphs and Combinatorics 21 (2005), 231-238.
- Gennian Ge, Ying Miao and Lihua Wang, Combinatorial constructions for optimal splitting authentication
codes, SIAM J. Discrete Math 18 (2005), 663-678.
- Gennian Ge and Dianhua Wu, Some new optimal quaternary constant
weight codes, Science in China (F) 48 (2005), 192-200.
- G. Ge, C. W. H. Lam, Alan C.H. Ling and Hao Shen,
Resolvable maximum packings with quadruples, Designs, Codes and Cryptography 35 (2005), 287-302.
- Gennian Ge and Alan C.H. Ling, Asymptotic
results on the existence of 4-RGDDs and uniform 5-GDDs, J. Combin. Designs 13 (2005), 222-237.
- Gennian Ge and Alan C.H. Ling, Group divisible designs with block size four and group type
g^um^1 with minimum m, Designs, Codes and Cryptography 34 (2005), 117-126.
2004
- Gennian Ge and Alan C.H. Ling, A systematic
approach to some block design constructions, J. Combin. Theory (A) 108 (2004), 89-97.
- Kaitai Fang, Gennian Ge, Minqian Liu and Hong Qin, Construction of Uniform Designs via
Super-simple Resolvable t-designs, Utilitas Math. 66 (2004), 15-32.
- Gennian Ge and Alan C.H. Ling, Group divisible
designs with block size four and group type g^um^1 with small
g, Discrete Maths. 285 (2004), 97-120.
- G. Ge and C. W. H. Lam, Whist tournaments with
the three person property, Discrete applied Maths. 138 (2004), 265-276.
- G. Ge and R.S. Rees, On group-divisible designs with block size four and group-type
6^um^1, Discrete Maths. 279 (2004), 247-265.
- Kaitai Fang, Gennian Ge, Minqian Liu and Hong Qin, Combinatorial constructions for optimal
supersaturated designs, Discrete Maths. 279 (2004), 191-202.
- Frank E. Bennett, Yanxun Chang, Gennian Ge and Malcolm Greig, Existence of (v, {5,w^*},
1)-PBDs, Discrete Maths. 279 (2004), 61-105.
- Gennian Ge and Alan C.H. Ling, A survey on resolvable group divisible designs with block
size four, Discrete Maths. 279 (2004), 225-245.
- G. Ge and R. Wei, HGDDs with block size four, Discrete Maths. 279 (2004), 267-276.
- G. Ge, More large sets of KTS(v), J. Combin. Math. Combin. Comput 49 (2004), 211-214.
- K. T. Fang and G. Ge, A Sensitive Algorithm For Detecting The Inequivalence of Hadamard
Matrices, Math.Comput. 73 (2004), 843-851.
- Gennian Ge and Alan C.H. Ling, Some more 5-GDDs and optimal (v,5,1)-packings,
J. Combin. Designs 12 (2004), 132-141.
- Gennian Ge, C. W. H. Lam and Alan C.H. Ling, Some new uniform frames with block size four
and index one or three, J. Combin. Designs 12 (2004), 112-122.
- Gennian Ge, Mandatory representation designs MRD({4,k};v) with k \equiv 1 mod 3, Discrete
Maths. 275 (2004), 319-329.
- Gennian Ge and C. W. H. Lam, Super-simple resolvable balanced incomplete block designs with
block size 4 and index 3, J. Combin. Designs 12 (2004), 1-11.
- Kaitai Fang, Gennian Ge and Minqian Liu, Construction of optimal supersaturated designs
by the packing method, Science in China (A) 47 (2004),
128-143. (Chinese version 33 (2003), 446-458.)
2003
- G. Ge and C. W. H. Lam, Bhaskar Rao Designs with Block Size Four, Discrete Maths. 268 (2003), 293-298.
- G. Ge and C. W. H. Lam, Resolvable group divisible designs with block size four and group size six,
Discrete Maths. 268 (2003), 139-151.
- G. Ge and C. W. H. Lam, Some new triplewhist tournaments TWh(v), J. Combin. Theory (A) 101 (2003), 153-159.
- Kaitai Fang, Gennian Ge, Minqian Liu and Hong
Qin, Construction of minimum generalized aberration designs, Metrika 57 (2003), 37-50.
- D. Wu and G. Ge, Generalized Steiner systems GS_4(2, 4, v, 4), J. Combin. Math. Combin. Comput. 45 (2003), 183-193.
- G. Ge and D. Wu, Generalized Steiner triple systems with group size ten, Journal of
mathematical research and exposition 23 (2003), 391-396.
- G. Ge, J. Wang and R. Wei, MGDD with block size 4 and its application to sampling designs,
Discrete Maths. 272 (2003), 277-283.
- Gennian Ge and Alan C.H. Ling, A new construction for Z-cyclic whist tournaments,
Discrete applied Maths. 131 (2003), 643-650.
- G. Ge and D. Wu, 4-^*GDDs(3^n) and generalized Steiner systems
GS(2,4,v,3), J. Combin. Designs 11 (2003), 381-393.
- Gennian Ge, Malcolm Greig and Jennifer Seberry, Generalized Bhaskar Rao Designs with Block
Size 4 Signed over Elementary Abelian Groups, J. Combin. Math. Combin. Comput. 46 (2003), 3-45.
2002
- Kaitai Fang, Gennian Ge and Minqian Liu, Construction of E(f_{NOD})-optimal supersaturated designs via
Room squares, Calcutta Statistical Association Bulletin 52 (2002), 71-84.
- G. Ge, Generalized Steiner triple systems with group size g \equiv 0, 3 (mod 6), Acta mathematicae
applicatae sinica 18 (2002), 561-568.
- Kaitai Fang, Gennian Ge and Minqian Liu, Uniform supersaturated design and its construction, Science in
China (A) 45 (2002), 1080-1088.
- G. Ge, R.S. Rees and L. Zhu, Group-divisible designs with block size four and group-type g^um^1 with m as
large or as small as possible, J. Combin. Theory (A) 98 (2002), 357-376.
- G. Ge and R.S. Rees, On group-divisible designs with block size four and group-type g^um^1,
Designs, Codes and Cryptography 27 (2002), 5-24.
- R. J. R. Abel, F. E. Bennett and G. Ge, The existence of four HMOLS with equal sized
holes, Designs, Codes and Cryptography 26 (2002), 7-31.
- R. J. R. Abel, F. E. Bennett, G. Ge and L. Zhu,
Existence of Steiner seven-cycle systems, Discrete Maths. 252 (2002), 1-16.
- F. E. Bennett, G. Ge, H. Zhang and L. Zhu,
Holey Steiner pentagon systems and related designs, J. Statist.Plan. Infer. 106 (2002), 353-373.
- G. Ge, Further results on the existence of generalized Steiner triple systems with group size
g \equiv 1, 5 (mod 6), Australasian J. Combin. 25 (2002), 19-28.
- R. J. R. Abel, F. E. Bennett and G. Ge, Resolvable perfect Mendelsohn designs with block size
five, Discrete Maths. 247 (2002), 1-12.
- Gennian Ge, Resolvable group divisible designs
with block size four, Discrete Maths. 243 (2002), 109-119.
- R. J. R. Abel, F. E. Bennett and G. Ge, Almost resolvable perfect Mendelsohn designs with block size five,
Discrete applied Maths. 116 (2002), 1-15.
2001
- G. Ge, More directed GDDs with block size five,
Utilitas Math. 60 (2001), 241-248.
- Gennian Ge and Jianxing Yin, Constructions for
Optimal (v, 4, 1) Optical Orthogonal Codes, IEEE Trans. Inform. Theory 47 (2001), 2998-3004.
- G. Ge and R. J. R. Abel, Some new HSOLSSOMs
of types h^n and 1^{m}u^{1}, J. Combin. Designs 9 (2001), 435-444.
- D. Wu, G. Ge and L. Zhu, Generalized Steiner
systems GS_4(2, 4, v, g) for g=2, 3, 6, J. Combin. Designs 9 (2001), 401-423.
- G. Ge and L. Zhu, Frame constructions for
Z-cyclic triplewhist tournaments, Bull. Inst. Combin. Appl. 32 (2001), 53-62.
- R. J. R. Abel, G. Ge, M. Greig and L. Zhu,
Resolvable balanced incomplete block designs with a block size of 5,
J. Stat. Plan. Infer. 95 (2001), 49-65.
- G. Ge, Existence of holey LSSOM of type
2^{n} with application to G_{7}-packings of K_{v},
J. Statist. Plan. Infer. 94 (2001), 211-218.
- G. Ge, On the existence of Room frames of type 2^{n}u^{1},
J. Statist. Plan. Infer. 94 (2001), 219-230.
- G. Ge, Uniform frames with block size four and index one or three,
J. Combin. Designs 9 (2001), 28-39.
2000
- D. Wu, G. Ge and L. Zhu, Generalized Steiner triple systems with group size g = 7, 8,
Ars Combinatoria 57 (2000), 175-191.
- G. Ge, All V(3, t)'s exist for 3t+1 a prime power,
J. Combin. Math. Combin. Comput. 34 (2000), 197-202.
- G. Ge, Optimal optical orthogonal code,
Journal of China Institute of Communications 21 (7) (2000), 72-75.
- G. Ge, Generalized Steiner triple systems with group size g \equiv 1, 5 (mod 6),
Australasian J. Combin. 21 (2000), 37-47
- K. Chen, G. Ge and L. Zhu, Starters and related codes,
J. Statist. Plan. Infer. 86 (2000), 379-395.
1993-1999
- Chang Yanxun and Ge Gennian, Some new large sets of KTS(v),
Ars Combinatoria 51 (1999), 306-312.
- K. Chen, G. Ge and L. Zhu, Generalized Steiner triple systems with group size five,
J. Combin. Designs 7 (1999), 441-452.
- G. Ge and L. Zhu, Authentication perpendicular arrays APA_{1}(2, 7, v),
J. Combin. Designs 5 (1997), 111-124.
- G. Ge and L. Zhu, Authentication perpendicular arrays APA_{1}(2, 5, v),
J. Combin. Designs 4 (1996), 365-375.
- Xu Yungqing, Ge Gennian and Zhu Lie, Existence of SOLS with holes of type 2^{n}u^{1},
J. Stat. Plan. Infer. 51 (1996), 293-307.
- G. Ge and L. Zhu, Existence of almost resolvable directed 5-cycle systems,
Australasian J. Combin. 11 (1995), 181-195.
- G. Ge and L. Zhu, Existence of Room frames of type 2^{n}u^{1},
J. Combin. Math. Combin. Comput. 18 (1995), 65-82.
- Ge Gennian and Zhu Lie, On the existence of Room frames
of type t^{u} for u = 4 and 5, J. Combin. Designs 1 (1993), 183-191.
|To Appear
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| 1993-1999 |