John van Rees

Position:

- Senior Scholar in the Dept. of Computer Science.

Office:

E2-480 EITC

Department of Computer Science

University of Manitoba

Winnipeg, Manitoba

Canada R3T 2N2

(204)474-8683

Email:

vanrees@cs.umanitoba.ca

Table of Contents

- Degrees
- Employment
- Research Interests
- Research Grants Received
- Thesis Committee and Supervision
- Visiting Scientists
- Visitations
- Study Leaves
- Professional Societies
- Teaching
- Administrative Duties
- Refereed Articles
- Refereed Proceedings
- Peadogogical Articles
- Articles in Preperation
- Talks
- Links

1978 Ph.D. University of Waterloo (Combinatorics) 1974 M.Math University of Waterloo (Combinatorics) Master's Essay - "The investigation of the Structure of a (22,33,12,8,4) Design" 1973 Teach. Cert. University of Western Ontario (Education) 1973 B. Math University of Waterloo (Combinatorics and Optimization)

07,2006-07,2009 Associate Head Department of Computer Science University of Manitoba 01,2003 - 07,2003 Acting Associate Head Dept. of Computer Science University of Manitoba 1995 - 1998 Associate Head Dept. of Computer Science University of Manitoba 2014 - 2017 Senior Scholar Dept. of Computer Science University of Manitoba 1992 - 2014 Professor University of Manitoba 1982 - 1992 Associate Professor University of Manitoba 1985 Tenured University of Manitoba 1979 - 1982 Assistant Professor University of Manitoba 1978 - 1979 Assistant Professor Dalhousie University

I have been working to find instances of combinatorial configurations, especially balanced incomplete block designs, Latin Squares, binary codes and covering designs. First, the necessary conditions are studied in the hope of tightening them. Second, computer algorithms are developed to find those designs not ruled out.

Leftover NSERC award for (2014-15) $2,681.

GETS award (2013) for Navid Nasr Esfahani total $2916.66

GETS award (2012) for Navid Nasr Esfahani total $2916.66

National Sciences and Engineering Research Council (Maths B)

(2007 - 2014) total $60,000National Sciences and Engineering Research Council (Maths B)

(2002 - 2007) total $55,000National Sciences and Engineering Research Council (Maths B)

(1998 - 2002) total $40,000National Sciences and Engineering Research Council (Maths B)

(1994 - 1998) total $32,000National Sciences and Engineering Research Council (Maths Ctte)

(1991 - 1994) total $24,000University of Manitoba Grant - Aid of Research

(1990) $1,996National Sciences and Engineering Research Council (Maths Ctte)

(1988 - 1991) total $16,300National Sciences and Engineering Research Council (Maths Ctte)

(1985 - 1988) total $15,800University of Manitoba Grant - Aid of Research

(1983) $1,206National Sciences and Engineering Research Council (Maths Ctte)

(1982 - 1985) total $15,324National Sciences and Engineering Research Council (Maths Ctte)

(1979 - 1982) total $9,116 for 3 years

University of Newcastle Internal Research Assessment Ctte)

(1980) $1200University of Manitoba Grant - Aid of Research

(1979) $1,014University of Dalhousie Research Development Fund

(1978) $300

- E. Seah- Ph.D. (1987)
- G. Dueck - Ph.D. (1988)
- W. White - Masters (1989)
- D. Marcynuk - Ph.D. (1990)
- K. Krauter - Masters (1990)
- A. Guelzow - Ph.D (Math) (1990)
- D. Stone - Masters (1990)
- S. Rottoo - Masters (1991)
- C. Eifeze - Ph.D. (1995)
- J. Abel - Ph.D (New South Wales) (1995) -external
- A. Moran - Ph.D. (Queensland) (1996) -external
- K. Ma - Ph.D. (Concordia) (1996&8) -external
- L. Mo - Ph.D. (Math) (1999)
- A. Denis - Masters (Comp. Eng.) (2001)
- A. Gagerin - Ph. D. (2003)
- N. Cavenagh - Ph. D. (Queensland) (2003) -external
- C. Dai - Masters (2005)
- C. Hamalainen - Ph. D. (Queensland) (2007) -external
- S. Biswas -Ph.D. (2010-12)
- I. Livinsky -Ph.D. (Math)(2012)

- L. Narayanan - post-doc (1992-1993)
- L. Shar - summer NSERC (1994)
- R. Bilous - Masters (1996-8)
- P. C. Li - Ph.D. (1997-9)
- K. Gerrard - summer NSERC (1999)
- R. Bilous - Ph.D. (1998-2001)
- F. Sailer - summer NSERC (2001)
- K. Lutful - Masters (2003-5)
- Y. J. Zhou - research assistant (2007)
- S. J. Lau - research assistant (2009) + Honours Thesis (2010)
- V. Kononov - research assistant (2009)
- S. H. Seo -research assistant (2010)
- N. E. Nasr Esfahani - Masters (2011-14)
- D. Page - Honours Thesis (2012)
- R. Swanson - University of Manitoba undergraduate Research Award(2013)

Doug Stinson October 22, 2010 Doug Stinson 1 day August, 2009 Tian Zihong 1 week July, 2009 Navin Singhi 4 days July, 2009 R. Wei 2 days August, 2005 W. D. Wallis 3 day July, 2005 Alewyn Burger & Werner Grundlingh 3 days 2004 Richard Bean 2 days 2004 Nick Cavenagh 2 weeks 2002 Alan Ling 10 days 2002 Diane Donovan 2 weeks 2001 Clement Lam 1 week 2000 W.D.Wallis 4+4 days 1999 D. Stinson 1 week 1998 W.D.Wallis 1 week 1998 A. Ling 2 week 1997 L. Zhu 1 week 1997 E. Mahmoodian 2 months 1996 D. Stinson 1 year 1996 - 1997 A. Baarthmans 4 days 1995 W. Wallis 4 days 1995 D. Stinson 1 week 1995 D. Kreher 1 week 1993 D. Stinson several visits 1991 - 1993 R. Craigen 2 days M. Morley 2 weeks 1992 M. Greig 1 week 1990 Marshall Hall Jr. several visits 1986 - 1989

Nineteenth Midwest Conference on Combinatorics, Cryptography and Computing

(announcement and talk)Rochester, RIT Oct 7-9 2005. Vaclav Linek (talk) U. of Winnipeg, Winnipeg - 1 day January 2005 Banff Conference on Grid Computing Banff Conference Centre, Banff - summer 2005 Third Prairie Workshop U. of Winnipeg, Winnipeg - 2 days summer 2005 Southeastern International Conference on Combinatorics, Graph Theory and Computing March 2006 Carleton Math Days & Workshop on Coverings Carleton, Ottawa- summer 2006 Summer Meetings Canadian Math Society(invited half hour talk) Victoria - summer 2006 Fourth Prairie Workshop (invited 1 hour talk) U. of Lethbridge, Lethbridge - August 1, 2. 2006 R. Wei (talk) Lakehead U., Thunderbay - 5 days March, 2007 W. D. Wallis (talk) Southern Illinois U., Carbondale Ill. - 7 days April, 2007 Clement Lam Concordia University, Montreal - 3 days April 2007 Jeff Dinitz and Alan Ling (talk) U. of Vermont, Burlington - 5 days May 2007 Doug Stinson U. of Waterloo, Waterloo - 2 weeks June 2007 26th MCCCC Oct. 11-13, 2012 1 hour plenary talk 2014 CMS Summeer Meeting June 6-9. - days invited 25 minute talk in Algebraic Tools & Design Symposium

- Full pay sabbatical in fall 1985 for months. Appointed Visiting Associate Lecturer at University of Waterloo.
- Full pay sabbatical in fall 1992 for 6 months. Based in Winnipeg but took six trips.
- Full pay sabbatical in fall 1999 for 6 months. Based in Winnipeg but took four trips.
- Full pay sabbatical in winter 2007 for 6 months. Based in Winnipeg but took five trips.

**Professional
Societies and Activities**

- Reviewer for Math Reviews (1980-2016)
- On editorial board for Ars Combinatoria (1981-2016)
- Managing Editor for Congressus Numerantium (1980 - 1992)
- Life Member of Association of Computing Machines (1984 - )
- Member of Editorial Board of Journal of Combinatorial Designs (2011-2015)
- Member of IEEE (2000-2009)
- Member of Australian Combinatorial Society (since 1983)
- Foundation Fellow of the Institute of Combinatorics and its Applications (1990-2016)
- Member of Institute of Combinatorics and its Applications Council(since (1997-2016)
- On Editorial Board for Bulletin of the Institute of Combinatorics and its Applications (1990-2016)
- Managing Editor for Utilitas Mathematica (1993 - 1995)
- Guest Editor for Designs Codes and Cryptography(2001)
- Symposium Organizer: Design Theory & Coding Theory for the Summer Meeting of Canadian Math Society (2003)
- Co-Symposium Organizer(with Clement Lam): Design Theory for 2007 CANADAM Conference in Banff, May 28-31, 2007
- Local co-organizer for the Fifth Prairie Discrete Math Workshop May 28,29, 2008.
- Local co-organizer for the Seventh Prairie Discrete Math Workshop April 28,29, 2010.
- Invited Talk (1/2-hour) in Symposium for SIAM Discrete Math Meeting at U. of Vermont June 16-19, 2008
- Co-Symposium Organizer(with Clement Lam): Design Theory for 2009 CANADAM Conference in Montreal, May 25-28, 2009
- Co-Symposium Organizer (with Peter Dukes and Esther Lamkin): Design Theory for 2011 CANADAM Conference in Victoria, May 31- June 3, 2011

- Faculty Council of Graduate Studies (1989-1990,1993-1995)
- Department of Computer Science Review Committee (1989-1990,1996-1998)
- First Year Engineering Committee (1984-1988)
- Tenure Committee (1989-1991,1996,2001-2006,2009)
- Promotion Committee (1989-1991,1996,2001-05,08-11)
- Chair, Framework Curriculum Committee (1991-1992)
- Department Graduate Committee (1990-1993), Head (1993)
- Department Committee on Courses (2006-2009)
- Faculty Committee on Courses (1992-1998, 2006-2009)
- Executive Board of Faculty of Science (1993-1999,2006-2009)
- Search Committee for Head of Computer Science (1994,1997,2000)
- Departmental Hiring Committee (1993,1998-1999,2005,2012)
- Departmental Awards Committee (Ja. 2011 - Jun. 2011)
- Chair of Course Revision Committee (1993-1998)
- Associate Head of Computer Science (1995-1998, 06-08)
- Acting Associate Head of Computer Science (Jan.-July 2003)
- Presidential Committee for Dean's Reappointment Advisory Committe(1999,2001)
- Presidential Advisory Committee for the Appointment of a Dean of Science (2003-4, 2009)
- Provincial Articulation Committee (1997-1999)
- Faculty of Science Research committeee(2000-2009)
- Member University Senate (2000-2012)
- Member University Senate Library Committee (2000-2012)
- Member University Senate Academic Review Committee(2002-2013)
- Dean's member Math Search Committee (2004)
- Internal-External reviewer for Dept. of Math. Graduate Programs(2008)
- Internal-External reviewer for Dept. of Stats. Undergraduate Programs(2010)
- On the Promotion Nucleus Committee for the Faculty of Science (2011-2013)
- On the search committee for a Tier 2 Canada Chair in Ubiquitous Analytics(2012)

**University of
Manitoba**

- COMP7980 Lower Bounds on Algorithms (2013)
- COMP7770 & MATH7860 Coding Theory (1996,8,2000,03,06,11,12.14)
- COMP7720 Parallel Algorithms (1990,1,3,6,8,2002,08,12)
- COMP7200 & MATH7860 Coding Theory (1993,5)
- COMP7190 Latin Squares (1984)
- COMP4340 Graphs & Graph Algorithms (2003)
- COMP4280 Design of Algorithms (1988,89,90,2000)
- COMP4270 Block Designs & Coding Theory (1995,6)
- COMP4140 Cryptography (2002,3,4,5,6,7,8,9,10,11,12,13,14)
- COMP4060 Honours Thesis (2010,2011)
- COMP3770 Numerical Algebra (1984)
- COMP3270 Finite Automaton (1993)
- COMP3170 Analysis of Algorithms and Data Structures (2005)
- COMP3030 Finite Automaton and Formal Languages(2007,2009)
- COMP2390 Numerical Algebra (1980-3), Course Director(1982-3)
- COMP2220 Assembly Lang. (1999,2000,2002,2003,2004)
- COMP2130 Discrete Mathematics (1999,2001,2013)
- COMP2120 Formal Structures for Computer Engineers (1997-9)
- COMP2080 Analysis of Algorithms (1994,2010(2))
- COMP2090 Numerical Analysis (1987,8)
- COMP2050 Introduction to Business Data Processing (1980-2), Course Director (1981-2)
- COMP2020 Introduction to Computing (1979-81, 1993) Course Director (1989-1992)
- COMP1260 Introduction to Computer Usage (2004)
- COMP1250 Introduction to Computer Science (1987-9), Course Director 1988-1989)
- COMP1210 Elements of Computer Science (1979-1981)
- COMP1200 Introduction to Computer Science (1979-1983, 5,6)
- COMP1110 Computer Science (1984-7, 1993), Course Director (1986-7)
- COMP1000 Information Tech. For Management (1989-1992),

**Dalhousie University**

- Math 125 - First Year Algebra
- Math 212 - Second Year General Calculus
- Math 333 - Third Year Engineering Math

**University of Waterloo**

- C&O 278 - Introduction to Combinatorics
- Math 126 - Algebra for Engineers

**On the Relationship between (16,6,3)-Designs and
(25,12) Self-Orthogonal Codes** N.Nasr Esfahani and G.H.J. van
Rees;J. of Combin. Math. & Combin. Computing; accepted (October) 11 pages.

**(m,3)-Splitting Systems** G.H.J. van
Rees and S.J. Lau; Utilitas Math.; V93 (2014), 33-48.

**A sharp lower bound on the number
of hyperedges in a friendship
3-hypergraph** P.C. (Ben) Li and G.H.J. van Rees; Austalasian Jounal
of Combinatorics, V57 (2013), 73--78.

**Friendship 3-Hypergraphs **** **
P.C. (Ben) Li, G.H.J. van Rees, Stela H. Seo, N.M. Singhi; Discrete Math., V312
(June 2012), 1892--1899

** Transversals in Rectangles**
G.H. John van Rees; JCMCC Vol 80 -Special Volume for Ralph Stanton, (2012) 415--431.

**The Stein_Lovasz Theorem and its Application
to Some Combinatorial Arrays**: D. Deng, Y. Zhang, P.C. Li and
G.H.J. van Rees; J. of Combin. Math. & Combin. Computing, V77 (2011) 17-32.

**More Greedy Defining Sets in Latin
Squares**: G.H.J. van Rees, Australasian Journal of Combinatorics, V44 (2009) 183-198.
I thank the the Australasian Journal of Combinatorics for allowing me to use
their copywrited version which can also be found at http://ajc.maths.uq.edu.au

**On the spectrum of critical sets in latin squares
of order 2^n**: Diane Donovan, James LeFevre and G.H. John van Rees, J. of Combin., V 16
(2008) 25--43. See also Tech. Report.

**When is a partial latin square uniquely completable, but
not its completable product?**: N. Cavenagh, D. Donovan, A. Khodkar
and G.H.J. van Rees; Discrete Math. V308 (2008), 2830-2843.

**There is no (22,8,4) Block
Design**:R.T. Bilous, C.W.H. Lam, L.H. Thiel,
P.C. Li, G.H.J. van Rees,S.P. Radziszowski, W.H. Holzmann, H. Kharaghani; J. of Combinatorial Designs, V15 Issue 3,
(2007) 262-267.

**Nearly Orthogonal Latin Squares**:P.C. Li
& G.H.J. van Rees; J. Comb. Math. & Comb. Computing, V62 (2007) 13-24.

**Constructions and Bounds for (m,t)-Splitting
Systems-corrected and expanded version**: D. Deng, D.R. Stinson,
P.C. Li, G.H.J. van Rees, & R. Wei;
Discrete Math., V307 (2007) 18-37.

**Lotto Designs**: P.C. Li & G.H.J. van
Rees, section in **"CRC The Handbook of Combinatorial Design"**,
editors C. Colbourn & J. Dinitz, CRC Press Inc, (2007), 512-519

**Constructions of 2-Cover_free Families and Related
Separating Hash Families**: P.C. Li, G.H.J. van Rees & R. Wei; J. of
Combinatorial Designs, V14 (2006) 423-440.

**Covering Designs on 13 Blocks
Revisited**: M. Greig, P.C. Li & G.H.J. van Rees; Utilitas Math. V70 (2006) 221-261.

**Self-Dual Codes and the (22,8,4)Balanced Incomplete
Block Design**: R.T, Bilous & G.H.J. van Rees; J. of Combin Designs.
V13 (2005) 363-376. See ** Erratum**.

**Several constructions of Non-Resolvable Steiner Triple
Systems**: P.C. Li & G.H.J. van Rees; Journal of Combinatorial Designs
13 (2005) 16-24.

**Splitting Systems and Separating
Systems**: A.C.H. Ling, P.C. Li & G.H.J van Rees;
Discrete Math, V279 (2004) 335-368.

**Minimal and near-minimal critical sets
in back-circulant Latin squares **: J.A. Bate & G.H.J. van
Rees; Australasian J. of Combin., V27 (2003) 46-62.

**Lotto Design Tables**: P.C. Li
& G.H.J. van Rees; Journal of Combinatorial Designs, V10; (2002) 335-359.

**An Enumeration of Binary Self-Dual Codes of
Length 32**: R.T, Bilous & G.H.J. van Rees; Designs, Codes
and Cryptography, V26; (2002) 61-86. (See also **Enumeration of the Binary Self-Dual Codes
of Length 34**: R.T. Bilous, J. of Combin. Math. Combin. Computing, V59 (2006) 173-211.)

** A Note on Critical Sets **
J.A. Bate & G.H.J. van Rees, Australasian J. of Comb.,
V25; (2002) 299-302.

**V(m,t) and its Variants**,K.
Chen, G.H.J. van Rees & L. Zhu, J. Stats. Plan. &Inf., V95
(2001) 143-160

** New Constructions for Lotto Designs
** P.C. Li and G.H.J. van Rees, Utilitas Math. V58 (2000) 45-64.

**V(m,t)'s for m=3,4,5,6**,
A.C.H. Ling, Y. Lu, G.H.J. van Rees & L. Zhu, J. Stats. Plan.
&Inf., V86 (2000) 515-525

**An Application of Covering Designs:
Determining the Maximum Consistent Set of Shares in a Threshold
Scheme**
, R.S. Rees, D.R. Stinson, R. Wei & G.H.J. van Rees, Ars Comb.
V53 (1999) 225-237

**The size of the Smallest Strong
Critical Set in a Latin Square**, J.A. Bate & G.H.J. van
Rees, Ars Combinatoria, V53 (1999) 73-83

**
Maximal Sets of Mutually Orthogonal Latin Squares**,
D. Drake, G.H.J. van Rees & W.D. Wallis, Discrete Math.,
V194 (1999) 87-94 - also selected for

Special volume - Editor's Choice Discrete Math.

**Lotto Designs** J.A. Bate &
G.H.J. van Rees, J. Comb. Math. & Comb. Computing, V28 (1998) 15-39.

**Critical Sets in Back Circulant
Rectangle**, E. Mahmoodian & G.H.J. van Rees, Australasian
Journal of Combinatorics, V16 (1997) 45-50.

**Many (22,44,14,7,4) and (15,45,14,5,4) Balanced
Incomplete Block Designs**, D. Tiessen & G.H.J. van
Rees, J. Stats & Inf., V16 (1997) 115-124

**(r,lambda)-designs, G.H.J. van Rees, section in
"CRC: The Handbook of Combinatorial Design"**,
editors C. Colbourn & J. Dinitz, CRC Press Inc, (1996),
434-436. Also in "CRC: The Handbook of Combinatorial Design Second Edition",
editors C. Colbourn & J. Dinitz, CRC Press Inc, (2006) 582-584.

**(22,33,12,8,4)-BIBD, An Update**, G.H.J. van
Rees, a chapter in "Computational and Constructive Design
Theory" ed. Wal Wallis, (1996) 337-357.

**All v(3,t)'s Exist for 3t+1 a Prime**, G.H.J.
van Rees, Journal of Combinatorial Designs, V3 #6 (1995) 399-404.

**Three Constructions of Covers**, G.H.J. van
Rees, Journal of Combinatorial Mathematics and Combinatorial
Computing, V16, (1994), 19-25.

**Some non-isomorphic (4t+4, 8t+6, 4t+3, 2t+2,
2t+1)-BIBDs**, W.L. Kocay & G.H.J. van Rees, Discrete
Math. , V92, (1991), 159-172.

**Slightly Improved Upper Bounds for Equidistant
Permutation Arrays of Index One**, G.H.J. van Rees,
Journal of Combinatorial Mathematics and Combinatorial Computing,
V38, (1990), 159-160.

**Some properties of finite bases for the Rosa set**,
R.C. Mullin, G. Gardner, K. Metsch & G.H.J. van Rees,
Utilitas Math., V38, (1990), 199-215.

**Subsquares and Transversals in Latin
Squares**, G.H.J. van Rees, Ars Combinatoria V29B (1990) 193-204.

**Lottery Schemes and Covers**, M. Morley &
G.H.J van Rees, Utilitas Math., V37, (1990), 159-166.

**A new family of BIBDs an non-embedabble
(16,24,9,6,3)-designs**, G.H.J. van Rees, Discrete Math.,
V77, (1989), 357-365.

**Structures within (22,33,12,8,4)-Designs**,
J.A. Bate, M. Hall Jr. & G.H.J van Rees, Journal of Comb.,
Math, & Combin. Computing, V4, (1988), 183-194.

**All non-isomorphic residual
(16,24,9,6,3)-designs**,
G.H.J. van Rees, Journal of Combin. Math. & Combin.
Computing, V3, (1988), 183-194.

**On designs (22,33,12,8,4)**, M. Hall Jr., R.
Roth, S.A. Vanstone & G.H.J. van Rees, J. of Combin. Math. A,
V47, #2 (1988), 157-175.

**Separable orthogonal Arrays**, C.C. Lindner,
R.C. Mullin & G.H.J. van Rees, Utilitas Math., V31, (1987),
25-32.

**The equivalence of certain equidistant binary codes
and symmetric BIBDs**, D.R. Stinson & G.H.J. van Rees,
Combinatorica, V4, (1984), 357-362.

**Some Improved results concerning the Codes problem**,
D.R. Stinson & G.H.J. van Rees, Ars Combinatoria, V17,
1984), 117-128.

**The solution of an iterated recurrence**, D.
Meek & G.H.J. van Rees, Fibonacci Quarterly, V22, #2, (1982),
263-281.

**More Mutually orthogonal Latin
squares**, A.E.Brouwer & G.H.J. van Rees, Discrete Math., V39, (1982),
263-281.

**Equidistant permutations arrays: A bound**,
S.A. Vanstone & G.H.J. van Rees, J. Austrailian Math. Soc.,
V33 (series A), (1982), 262-274.

**Computation of some exact g-covers**, R.G.
Stanton, P. Eades, D. Cowan & G.H.J. van Rees, Utilitas
Math., V18, (1980), 169-282.

**On the construction of perpendicular arrays**,
R.C. Mullin, P.J. Schellenberg, S.A. Vanstone & G.H.J. van
Rees, Utilitas Math, V18, 9180), 141-160.

**Four pairwise orthogonal Latin squares of order 15**,
P.J. Schellenberg, S.A Vanstone & G.H.J. van Rees, Ars
Combinatoria, V6, (1978), 141-150.

**Some Constructions for equidistant permutation arrays
of index one**, K. Heindrich & G.H.J. van Rees,
Utilitas Math., V13, (1978), 193-200.

**Some results on a combinatorial problem of Cordes, **D.
McCarthy & G.H.J. van Rees, Austrialian Math. Soc., V23
(series A), (1978), 439-452.

**On computing plethysms of Schurr-functions**,
P.A. Morris & G.H.J. van Rees, MATCH Informal Comm. in Math Chemistry, V3,
(1977), 303-318.

**The existence of balanced tournament
designs**, P.J. Schellenberg, S.A. Vanstone & G.H.J. van Rees,
Ars Combinatoria, V3, (1977), 303-318.

**The enumeration of generalized doubly
stochastic non-negative integer square matrices**: D.M. Jackson &
G.H.J. van Rees, SIAM J. of Computing, V4 #4, (1975), 474-477.

**On {123,124,134}-free Hypergraphs**: P.C. Li,
D.R. Stinson, G.H.J. van Rees & R. Wei, Congressus Numerantium, V183 (2006) 161-174.

**A note on the completion of partial latin
squares**: N.J. Cavenagh, D. Donovan, & G.H.J. van Rees, Congressus
Numerantium, V168 (2005) 109-118.

**Finally C(19,6,2)=15**,
J.A. Bate, P.C. Li & G.H.J. van Rees, Congressus Numerantium, V157
(2002) 95-102.

**Lower bounds on lotto designs**,
P.C. Li & G.H.J. van Rees, Congressus Numerantium, V141
(1999) 5-30.

**A note on C(10,4,2) and
C(11,5,3)**, G.H.J. van Rees, Congressus Numerantium, V99,
(1994), 271-275.

**Single Change Designs II**,
G.H.J. van Rees, Congressus Numerantium, V92, (1993), 29-32.

**On the maximum number of
implants needed to cover a multiple-valued logic function using
window literals**, G.W. Dueck & G.H.J. van Rees,
Proceedings of 21st International Symposium on Multiple-Valued
Logic (IEEE), Victoria, B.C. (1991) 1-13.

**An idealization of number theory
problem in combinatorial design theory**, G.H.J. van Rees,
Congressus Numerantium, V57, (1987), 213-222.

**Some results on N(4,6,10),
N(4,6,11) and related coverings**, J.A. Bate & G.H.J.
van Rees, Congressus Numerantium, V48, (1985), 25-45.

**Some large critical sets**,
D.R. Stinson & G.H.J. van Rees, Congressus Numerantium, V31,
(1981), 267-273.

**On Latin Queen squares**, G.H.J. van Rees,
Congressus Numerantium, V31, (1981), 267-273.

**A general construction for
equidistant permutation arrays**, K. Heinrich, W.D. Wallis
& G.H.J. van Rees, Proceedings of Graph Theory and Related
Topics, a conference in honour of W.T. Tutte, (1979), 247-252.

**Critical sets in Latin Squares**,
D. Curran & G.H.J. van Rees, Congressus Numerantium, V22,
(1978), 165-168.

**The non-existence of
(7,1)-designs with v=31, b=48 or 49**, G.H.J. van Rees,
Congressus Numerantium, V18, (1976), 469-494.

**Pedagogical
Ariticles (refereed)**

**Knight's Tours and
Circuits**, G.H.J. van Rees, Bulletin of ICA, V16 (1996) 81-86.

**The spectrum of critical sets in latin squares of order 2^n**:
Diane Donovan, James LeFevre and G.H. John van Rees

**Lovasz Local Lemma**,: G.H.J. van Rees

** Frequency and Lotto Designs **P.C. Li & G.H.J. van Rees

**Lotto Designs**

**TransTalk**

**Banfftalk**

**Vermonttalk**

**Montrealtalk**

**Winnipegfriendstalk**

**Victoria Talk**

website for self-dual binary codes of length up to 34

web site for lotto tables

Download John Bate's program for finding Critical Sets

Department of Computer Science Home Page

University of Manitoba Homepage