Jennifer Roma Seberry (Wallis)

During my study leave in February-June 2000 I spent two periods of two weeks working with Professor Christos Koukouvinos of the National Technical University of Athens and Professor Marilena Mitrouli of the University of Athens and their students in Greece. This interaction was extremely productive and resulted in the following research papers and Book Chapter:

REFEREED JOURNAL ARTICLES

• C. Koukouvinos, M. Mitrouli and Jennifer Seberry, Growth in Gaussian elimination for weighing matrices $W(n,n-1)$, Linear and Multilinear Algebra, 306 (2000), 189-202.

• C. Koukouvinos and Jennifer Seberry, New orthogonal designs and sequences with two and three variables in order 28, Ars Combinatoria, 54, (2000), 97-108. ISSN 0381 7032.

• C. Koukouvinos, M. Mitrouli and Jennifer Seberry, Bounds on the maximum determinant for $(1,-1)$ matrices. Bull. ICA, 29, (2000), 39-48. ISSN 1183-1278.

• S. Georgiou, C. Koukouvinos and Jennifer Seberry, On circulant best matrices and their applications, Linear and Multilinear Algebra, 48 (2001), 263-274.

• C. Koukouvinos, M. Mitrouli and Jennifer Seberry, Values of minors of $(1,-1)$ incidence matrices of SBIBDs and their application to the growth problem, Designs, Codes, Cryptography, 23 (2001), 267-281.

• C. Koukouvinos, M. Mitrouli and Jennifer Seberry, Values of minors of an infinite family of $D$-optimal designs and their application to the growth problem, SIAM Journal on Matrix Analysis and Applications. 23, No. 1, (2001), 1-14.

• C. Koukouvinos, M. Mitrouli and Jennifer Seberry, An algorithm to find formulae and values of minors for Hadamard matrices, Linear Algebra and its Applications, 330 (2001), 129-147.

• Christos Koukouvinos and Jennifer Seberry, Infinite families of orthogonal designs : I, Bull. ICA, 33 (2001) 35-41. ISSN 1183-1278.

• Christos Koukouvinos and Jennifer Seberry, Short amicable sets and Kharaghani type orthogonal designs, Bull. Austral. Math. Soc. , 64 (2001) 495-504.

• S. Georgiou, C. Koukouvinos and Jennifer Seberry, Hadamard matrices, orthogonal designs and construction algorithms, Designs 2002: Further Combinatorial and Constructive Design Theory, Kluwer, (in press).

  The remainder of the time was spent in Wollongong where I worked with my Postdoctoral Fellow, Dr Marc Gysin, and supervised

• Jeffrey Horton, Malicious Software and Distributed Computing, , University of Wollongong. PhD awarded 2000.

• Chengxin Qu, Boolean Functions in Cryptography, University of Wollongong. PhD awarded 2000.

• Yejing Wang, Contributions to Traceability Schemes, (joint supervision Rei Safavi-Naini/Seberry) University of Wollongong. PhD awarded 2000.

• Lakoa Fitina, Critical Sets of F-squares, Latin Squares and Youden Squares. University of Wollongong. PhD awarded 2001.

• Ghulam Chaudhry,Combinatorial Designs with Applications in Cryptography,, University of Wollongong. PhD awarded 2001.

• Tianbing Xia, Boolean Functions, Hadamard Matrices, Orthogonal Designs Applicable to Security and Communications, University of Wollongong. PhD awarded 2001.

• David Soldera, Zheng-Seberry Public Key Cryptosystem and Signcryption, Master of Science (Hons), (Supervisor: J. Seberry/J Pieprzyk). MSc(Hons) awarded 2001.

• Terje Tollisen, Micropayments, Master of Science (Hons), (Supervisor: J. Seberry/ J. Pieprzyk) . MSc(Hons) under final revision.

• Heping Miao, Secure Zero Configurations, Master of Science (Hons), (Supervisor: J. Seberry) . MSc(Hons) awarded 2001.

• Tao Weijia, Network Security for Intelligent Environments, University of Wollongong, MCompSci awarded 2001.

  This also resulted in a number of refereed publications:

• Jennifer Seberry and Anne Penfold Street, Strongbox secured secret sharing schemes, Utilitas Mathematica, 57, (2000), 147--163. ISSN 0315 3681.

• Ghulam Chaudhry and Jennifer Seberry, On the influence of entries in critical sets of Room squares, Bull ICA, 28 (2000), 67-74. ISSN 1183-1278.

• Chengxin Qu, Jennifer Seberry and Josef Pieprzyk, Homogeneous bent functions, Discrete Applied Mathematics , Volume 102, Numbers 1-2, (2000) 133-139. ISSN 0166-218X.

• Lakoa Fitina and Jennifer Seberry, On the spectrum of an F-square, Australas. J. Comb. 22 (2000) 81-90.

• Tianbing Xia, Jennifer Seberry, Josef Pieprzyk, Construction of cubic homogeneous Boolean bent functions, Australas. J. Comb. 22 (2000) 233-246.

• Roderick J Fletcher and Jennifer Seberry, New D-optimal designs of order 110, AJC 23 (2001) 49-52.

• Roderick J Fletcher, Marc Gysin and Jennifer Seberry, Application of the discrete Fourier transform to the search for generalised Legendre pairs and Hadamard matrices, AJC 23 (2001) 75-86.

• Marc Gysin and Jennifer Seberry, On ternary complementary pairs, 197-209. AJC 23 (2001) 153-170.

• Marc Gysin and Jennifer Seberry, On infinite families of sequences with one and two valued autocorrelation and two valued crosscorrelation function, AJC 23 (2001) 197-209.

• Jeffrey Horton, Christos Koukouvinos and Jennifer Seberry, A search for Hadamard matrices constructed from Williamson matrices, Bull. ICA, (to appear). ISSN 1183-1278.

  At the end of my study leave I taught a full year load in the next semester. I served on the Asiacrypt Steering Committee as an Australian representative this year.

  My study leave research was funded via a large ARC Research grant. I wish to thank Star Alliance airlines for subsidising Australian research by not charging excess baggage.