Dr Thomas Hall - Researcher Profile

Biography

Tom works in the School of Mathematical Sciences at Monash University as a Reader

 

 

Tom’s research areas of interest are:

 

• The algebraic theory of semigroups. Inverse semigroups, regular semigroups, e-varieties of regular semigroups. Electronic watermarks for images and communication. Discrete mathematics for electronic communication

 

Qualifications

MATHEMATICS

Institution: Monash University

Year awarded: 1970

SCIENCE

Institution: University of Queensland, St Lucia

Year awarded: 1965

Publications

Books

Hall, T.E., Unknown, 2. (eds), 1999, Journal of Algebra, Academic Press, San Diego USA.

Hall, T.E., Unknown, 1. (eds), 1999, Semigroup Forum, Springer-Verlag, New York NY USA.

Journal Articles

Barrera Acevedo, S., Hall, T.E., 2012, Perfect sequences of unbounded lengths over the basic quaternions, Lecture Notes in Computer Science [P], vol 7280, Springer, Heidelberg Germany, pp. 159-167.

Tirkel, A.Z., Hall, T.E., 2006, New matrices with good auto and cross-correlation, IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol E89-A, issue 9, Engineering Sciences Soc. Institute of Electronics Information Comm., Tokyo Japan, pp. 2315-2321.

Krengel, E.I., Tirkel, A.Z., Hall, T.E., 2005, New sets of binary and ternary sequences with low correlation, Lecture Notes in Computer Science, vol 3486, Springer-Verlag, Berlin Germany, pp. 220-235.

Hall, T.E., Shoji, K., 2002, Finite bands and amalgamation bases for finite semigroups, Communications in Algebra, vol 30, issue 2, Marcel Dekker Inc, New York NY USA, pp. 911-933.

Tirkel, A.Z., Hall, T.E., 2001, A unique watermark for every image, IEEE MultiMedia, vol 8, issue 4, IEEE Computer Society, Los Alamitos USA, pp. 30-37.

Hall, T.E., Osborne, C.F., Tirkel, A.Z., 2001, Families of matrices with good auto and cross-correlation, Ars Combinatoria, vol 61, issue 4, Charles Babbage Research Center, Winnipeg Canada, pp. 187-196.

Hall, T.E., Weil, P., 1999, On radical congruence systems, Semigroup Forum, vol 59 issue 1, Springer-Verlag New York Inc, New York NY USA, pp. 56-73.

Hall, T.E., Imaoka, T., 1999, Representations and amalgamation of generalized inverse *-semigroups, Semigroup Forum, vol 58 issue 1, Springer-Verlag New York Inc, New York NY USA, pp. 126-141.

Tirkel, A.Z., Osborne, C.F., Hall, T.E., 1998, Image and Watermark Registration, Signal Processing, vol 66, Elsevier Science, Netherland, pp. 373-383.

Hall, T.E., Kublanovskii, S.I., Margolis, S., Sapir, M.M., Trotter, P.G., 1997, Algorithmic problems for finite groups and finite 0-simple semigroups, Journal of Pure and Applied Algebra, vol 119, Elsevier Science Publishers B.V., Amsterdam Netherlands, pp. 75-96.

Auinger, K., Hall, T.E., Reilly, N.R., Zhang, S.H., 1997, Congruences on the lattice of pseudovarieties of finite semigroups, International Journal of Algebra and Computation, vol 7, World Scientific Publishing Company, Singapore USA UK Hong Kong, pp. 433-455.

Tirkel, A.Z., Osborne, C.F., Hall, T.E., 1997, Effects of bias and characteristic phase on the crosscorrelation of m-sequences, IEE Proceedings Communications, vol 144, IEE Proceedings, UK, pp. 217-220.

Tirkel, A.Z., Osborne, C.F., Hall, T.E., 1997, Effects of bias and characteristic phase on the crosscorrelation of m-sequences, IEE Proceedings Communications, vol 144, The Institution of Electrical Engineers, UK, pp. 217-220.

Conference Proceedings

Kuznetsov, O., Hall, T., 2010, Perfect sequences over the real quaternions of longer length, The Online Journal on Mathematics and Statistics, 26 July 2010 to 29 July 2010, International Foundation for Modern Education and Scientific Research, Egypt, pp. 17-20.

Tirkel, A.Z., Hall, T.E., 2005, Matrix construction using cyclic shifts of a column, Proceedings of the 2005 IEEE International Symposium on Information Theory, 04/09/2005 to 09/09/2005, Institute of Electronic & Electrical Engineers, http://arxiv.org/abs/cs.DM/0508022/, pp. 2050-2054.

Tirkel, A.Z., Krengel, E.I., Hall, T.E., 2004, Sequences with large ZCZ, Proceedings, IEEE ISSSTA, 2004, 30/08/2004 to 02/09/2004, Institute of Electrical and Electronics Engineers Inc, Sydney NSW Australia, pp. 270-274.

Tirkel, A.Z., Krengel, E.I., Hall, T.E., 2002, Cross-correlation of binary m and GMW arrays, IEEE 7th International Symposium on Spread-Spectrum Techniques & Applications, 2/09/2002 to 5/09/2002, IEEE, Prague CZECH REPUBLIC, pp. 603-607.

Tirkel, A.Z., Hall, T.E., 2002, Matrices with bounded correlation, IEEE 7th International Symposium on Spread-Spectrum Techniques & Applications, 2/09/2002 to 5/09/2002, IEEE Techniques and Applications, Prague CZECH REPUBLIC, pp. 175-179.

Tirkel, A.Z., Hall, T.E., 2000, Pseudonoise patterns for watermarking, IEEE-PCM 2000 Conference Proceedings, Sydney NSW, 13-15 December 2000, IEEE, Sydney NSW Australia, pp. 324-327.

Tirkel, A.Z., Hall, T.E., 2000, Watermarking at point of origin, Proceedings ACM Multimedia 2000 Workshops, Marina del Rey USA 4 November 2000, Association for Computing Machinery, Inc, New York NY USA, pp. 135-138.

Hall, T.E., Tirkel, A.Z., 1999, Advanced Spread Spectrum Watermarking, Multimedia and Security, Orlando USA 30 October-1 November 1999, GMD-Forschungszentrum Informationstechnik GmbH, Sankt Augustin Germany, pp. 47-51.

Van Schyndel, R., Tirkel, A.Z., Svalbe, I.D., Hall, T.E., Osborne, C.F., 1999, Algebraic Construction of a New Class of Quasi-Orthogonal Arrays in Steganography, SPIR Electronic Imaging 1999, San Jose USA January 1999, SPIE, USA, pp. 354-364.

Van Schyndel, R., Tirkel, A.Z., Svalbe, I.D., Hall, T.E., Osborne, C.F., 1999, Algebraic construction of a new class of quasi-orthogonal arrays in steganography, Proceedings of SPIE, San Jose USA 25-27 January 1999, SPIE - The International Society for Optical Eng, San Jose USA, pp. 354-364.

Tirkel, A.Z., Hall, T.E., Osborne, C.F., 1998, A New Class of Spreading Sequences, 5th International Symposium on Spread Spectrum Techniques and Applications (ISSSTA'98), Sun City South Africa, 2-4 Sept. 1998, IEEE, South Africa, pp. 46-50.

Tirkel, A.Z., Hall, T.E., Osborne, C.F., Van Schyndel, R., 1998, Secure Arrays for Digital Watermarking, 14th International Conference on Pattern Recognition, Brisbane, Australia, 16-20 Aust 1998, IEEE Computer Society, Los Alamitos California USA, pp. 1643-1645.

Tirkel, A.Z., Osborne, C.F., Hall, T.E., 1997, Image and watermark registration for monochrome and coloured images, Digital Image & Vision Computing: Techniques and Applications, Auckland, NZ, 1-12 December 1997, Massey University, New Zealand, pp. 59-64.

Tirkel, A.Z., Osborne, C.F., Hall, T.E., 1997, Steganography-applications of coding theory, IEEE Information Theory Workshop, Longyearbyen, Norway, July 6-12 1997, IEEE, Norway, pp. 57-58.

Other

Osborne, C.F., Tirkel, A.Z., Hall, T.E., 1997, Image and Watermark Registration for Monochrome and Coloured Images, Digital Image & Vision Computing: Techniques and Applications, Massey University, New Zealand.

Postgraduate Research Supervisions

Current Supervision

Program of Study:

(DOCTORATE BY RESEARCH).

Thesis Title:

Computer generated sequences for electronic communication.

Supervisors:

Hall, T (Main).

Program of Study:

(DOCTORATE BY RESEARCH).

Thesis Title:

Congruence between L-functions attached to the symmetric powers of an elliptic curve..

Supervisors:

Delbourgo, D (Joint), Hall, T (Joint-co).

Program of Study:

(DOCTORATE BY RESEARCH).

Thesis Title:

Inflation of metrices with low or perfect autocorrelation.

Supervisors:

Hall, T (Main).

Program of Study:

(DOCTORATE BY RESEARCH).

Thesis Title:

Perfect sequences and arrays of unbounded lengths and sizes over the basic quaternions.

Supervisors:

Hall, T (Main), Svalbe, I (Associate).

Program of Study:

(MASTER'S BY RESEARCH).

Thesis Title:

Permanents of Combinatorial Matrices.

Supervisors:

Hall, T (Main), Horsley, D (Associate).

Completed Supervision

Student:

Hariharan, R.

Program of Study:

Combinatorial mathematics and algebra. 2008.

Supervisors:

Hall, T (Main).

Student:

Hariharan, R.

Program of Study:

Near perfect sequences of odd and even lengths. (PHD) 2012.

Supervisors:

Hall, T (Main).

Student:

Kuznetsov, O.

Program of Study:

Perfect sequences over the real quaternions. (PHD) 2010.

Supervisors:

Hall, T (Main).