Matthew Geoffrey Parker

University of Bergen, Bergen, Norway



Email contact: m a t t h e w @ i i . u i b . n o


If you are interested in coming to Bergen to work with me either as a PhD or as a postdoc then please send your email address to me at the above address and I shall put you on a mailing list to inform you if or when positions become available (and delete you from the mailing list after around 6 months). Please specify whether you are interested in a PhD or postdoc position.


I research into quantum computers, sequence design, Boolean functions, coding theory, information theory, communications systems, graph theory, cryptography, number theory, and efficient algorithms for VLSI.

An indication of my ability to see a research project through to its successful conclusion can be ascertained from here.


Publications

Journal Papers Submitted

............

Journal Papers

Zilong Wang, Matthew G. Parker, Guang Gong, Gaofei Wu, On the PMEPR of binary Golay sequences of length 2^n, [pdf] IEEE Trans. Inform. Theory, published online, 20 February 2014.

Gaofei Wu and Matthew G. Parker, A complementary construction using mutually unbiased bases, [pdf] Cryptography and Communications, (online) December 2013. DOI, (arxiv.org/abs/1309.0157)

Lars Eirik Danielsen, Matthew G. Parker, Constanza Riera, and Joakim Grahl Knudsen, On graphs and codes preserved by edge local complementation, [pdf] Des. Codes Cryptogr., 2013. (arXiv.1006.5802)

Adan Cabello, Matthew G. Parker, Giannicola Scarpa, Simone Severini, Exclusivity structures and graph representatives of local complementation orbits, [pdf], J. Math. Phys. 54, 073507, 2013, DOI: 10.1063/1.4813438, (arXiv.1211.4250)

Chunlei Li, Nian Li, Matthew G. Parker. Complementary sequence pairs of types II and III, [pdf] IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol.E95-A, No.11, pp. 1819-1826, November 2012.

Lars Eirik Danielsen, Matthew G. Parker, The selfnegadual properties of generalised quadratic Boolean functions, [pdf] Des. Codes Cryptogr., Vol. 66, Issue 1-3, pp. 305-316, January 2013.

Joakim Grahl Knudsen, Constanza Riera, Lars Eirik Danielsen, Matthew G. Parker, and Eirik Rosnes, Random edge-local complementation with applications to iterative decoding of HDPC codes, [pdf] IEEE Transactions on Communications, Vol. 60, 10, pp. 279-2808, October 2012.

Matthew G. Parker and Constanza Riera, Generalised complementary arrays, 13th IMA International Conference on Cryptography and Coding, 12-15 Dec. 2011, Oxford, UK, [pdf] Lecture Notes in Computer Science, LNCS, 2011.

T. Aaron Gulliver and Matthew G. Parker, Doubly-even binary linear codes from Legendre sequences, [pdf] Ars Combinatoria, C., pp. 435-447, July 2011.

Lars Eirik Danielsen and Matthew G. Parker, Directed graph representation of half-rate additive codes over GF(4), [pdf] Des. Codes Cryptogr., Vol. 59, 1-3, April 2011. (arXiv)

Lars Eirik Danielsen, Matthew G. Parker, and Patrick Solé. The Rayleigh quotient of bent functions, 12th IMA International Conference on Cryptography and Coding, 15–17 Dec. 2009, Cirencester, UK, [pdf] Lecture Notes in Computer Science, LNCS 5921, pp. 418–432, 2009.

Claude Carlet, Lars Eirik Danielsen, Matthew G. Parker, and Patrick Solé, Self-dual bent functions, [pdf] Int. J. Inform. and Coding Theory 1(4), pp. 384–399, 2010.

Lars Eirik Danielsen and Matthew G. Parker, Interlace polynomials: Enumeration, unimodality, and connections to codes, [pdf] Discrete Appl. Math. 158(6), pp. 636–648, 2010.

Jonathan Jedwab and Matthew G. Parker, A construction of binary Golay sequence pairs from odd-length Barker sequences, [pdf] J. Comb. Designs, vol. 17 pp. 478–491, 2009.

Kai-Uwe Schmidt, Jonathan Jedwab and Matthew G. Parker, Two binary sequence families with large merit factor, [pdf] Advances in Mathematics of Communication, Vol. 3, No. 2, pp. 135-156, May 2009.

Matthew G. Parker, Close encounters with Boolean functions of three different kinds, [pdf] 2nd International Castle Meeting on Coding Theory and Applications, 2ICMCTA, Castillo de la Mota. Medina del Campo (Valladolid), Lecture Notes in Computer Science, LNCS 5228, 15-19 September 2008.

Joakim Grahl Knudsen, Constanza Riera, Matthew G. Parker and Eirik Rosnes, Adaptive Soft-Decision Iterative Decoding Using Edge Local Complementation [pdf] Proceedings of The Second International Castle Meeting on Coding Theory and Applications (2ICMCTA), 2nd International Castle Meeting on Coding Theory and Applications, 2ICMCTA, Castillo de la Mota. Medina del Campo (Valladolid), Lecture Notes in Computer Science, LNCS 5228, 15-19 September 2008.

Kai-Uwe Schmidt, Matthew G. Parker, and Alexander Pott, Negabent Functions in the Maiorana-McFarland Class, [pdf] Sequences and Their Applications - SETA 2008, University of Kentucky, Lexington, KY, Lecture Notes in Computer Science, LNCS 5203, Sept. 14-18, 2008.

Constanza Riera and Stephane Jacob and Matthew G. Parker, From Graph States to Two-Graph States, [pdf, postscript] Designs, Codes and Cryptography, vol. 48, (2), August, 2008. preprint at: arxiv.org/abs/0801.4754.

Frank Fiedler and Jonathan Jedwab and Matthew G. Parker, A Framework for the Construction of Golay Sequences, [pdf, postscript] IEEE Trans. Inform. Theory, vol. 54 pp. 3114–3129, 2008.

Lars Eirik Danielsen and Matthew G. Parker, Edge Local Complementation and Equivalence of Binary Linear Codes, [pdf] Designs, Codes and Cryptography, 49:1-3 December 2008. preprint at: arxiv.org/abs/0710.2243.

Frank Fiedler and Jonathan Jedwab and Matthew G. Parker, A Multi-dimensional Approach to the Construction and Enumeration of Golay Complementary Sequences, [pdf, postscript] J. Combinatorial Theory (Series A), vol. 115 pp. 753-776, 2008.

Matthew G. Parker and Alexander Pott, On Boolean functions which are bent and negabent, [pdf, postscript] S. W. Golomb, G. Gong, T. Helleseth and H. Y. Song, (Eds.), Sequences, Subsequences, and Consequences, International Workshop, SSC 2007, Los Angeles, CA, USA, May 31 - June 2, 2007, Lecture Notes in Computer Science, LNCS 4893, 2007.

Jonathan Jedwab and Matthew G. Parker, Golay Complementary Array Pairs, [pdf, postscript] Designs, Codes and Cryptography, 44, pp. 209-216, July 2007.

Jonathan Jedwab and Matthew G. Parker, There are no Barker arrays having more than two dimensions, [pdf, postscript] Designs, Codes and Cryptography, 43, 2-3, pp. 79-84, June 2007.

Lars Eirik Danielsen and Matthew G. Parker, On the classification of all self-dual additive codes over GF(4) of length up to 12, Journal of Combinatorial Theory, Series A, 113, 7, pp. 1351-1367, Oct. 2006. [pdf, postscript] preprint at: math.CO/0504522.

Lars Eirik Danielsen, T. Aaron Gulliver and Matthew G. Parker Aperiodic Propagation Criteria for Boolean Functions, [pdf, postscript] Inform. Comput., 204, 5, pp. 741-770, 2006.

Constanza Riera and Matthew G. Parker, Generalised Bent Criteria for Boolean Functions (I), [pdf, postscript] IEEE Trans Inform. Theory, 52, 9, pp. 4142-4159, Sept. 2006. Also at: cs.IT/0502049.

Constanza Riera and Matthew G. Parker, One and Two-Variable Interlace Polynomials: A Spectral Interpretation, [pdf, postscript] International Workshop, Proceedings of WCC2005, Bergen, Norway, March 2005, Revised Selected Papers, Lecture Notes in Computer Science, LNCS 3969, pp. 397-411, March 2005.

Matthew G. Parker, Univariate and Multivariate Merit Factors, [pdf, postscript] Proceedings of SETA04, Lecture Notes in Computer Science, LNCS 3486, pp. 72-100, 2005.

L. E. Danielsen and M. G. Parker, Spectral orbits and peak-to-average power ratio of Boolean functions with respect to the {I,H,N}^n transform, [pdf, postscript] Proceedings of SETA04, Lecture Notes in Computer Science, LNCS 3486, pp. 373-388, 2005. Also at: cs.IT/0504102.

R.Kristiansen and M.G.Parker, Binary Sequences with Merit Factor > 6.3, [pdf, postscript] IEEE Trans. Inform. Theory, Vol 50, pp. 3385-3389, Dec. 2004.

T.Wo,C.Ding,S.Chanson,T.Helleseth and M.G.Parker, Logarithm Cartesian Authentication Codes, [pdf, postscript] Information and Computation, Vol. 184, Issue 1, pp. 93-108, 10 July, 2003.

M.G.Parker and V.Rijmen, The Quantum Entanglement of Binary and Bipolar Sequences [pdf, postscript] - also at: quant-ph/0107106. A shorter version is in Sequences and Their Applications, SETA'01, Discrete Mathematics and Theoretical Computer Science Series, Springer, 2001, Ed.: T.Helleseth, P.V.Kumar and K.Yang, Presented in part at SETA01, Bergen, Norway, May 13-17, 2001.

M.G.Parker, Even Length Binary Sequence Families with Low Negaperiodic Autocorrelation [pdf, postscript] LNCS 2227, pp 200 --, (2001), Copyright Springer-Verlag
Presented at AAECC-14, Nov 26-30, Melbourne, Australia, 2001.

M.G.Parker, Quantum Factor Graphs (long version) [pdf, postscript] Annals of Telecom., July-Aug, pp 472-483, 2001. also at: quant-ph/0010043.

M.G.Parker,A.H.Kemp and S.J.Shepherd, Fast Blum-Blum-Shub Sequence Generation Using Montgomery Multiplication [pdf, postscript]. IEE Proc-Comput.Digit.Tech, Vol. 147, Issue 4, pp 252-254, July 2000.

M.G.Parker, Conjectures on the Size of Constellations Constructed from Direct Sums of PSK Kernels [pdf, postscript] LNCS 1719,Copyright Springer-Verlag
Presented in part at 13th International Symposium, AAECC-13, Honolulu, Hawaii, pp 420-429, 14-19 Nov, 1999.

C.Tellambura,M.G.Parker,Y.J.Guo,S.J.Shepherd and S.K.Barton, Optimal Sequences for Channel Estimation Using Discrete Fourier Transform Techniques [pdf, postscript] IEEE Trans. on Communications, Vol 47, No 2, pp 230-238, Feb 1999.

S.T.J.Fenn,M.G.Parker,M.Benaissa and D.Taylor, Bit-Serial Multiplication in GF(2^m) Using Irreducible All One Polynomials, [pdf, postscript] IEE Proc-Comput.Digit.Tech, Vol 144, No 6, pp 391-393, Nov 1997.

M.G.Parker and M.Benaissa, Modular Arithmetic Using Low Order Redundant Bases [pdf, postscript] IEEE Trans on Computers, Vol 46, No 5, pp 611-616, May 1997.

M.G.Parker and M.Benaissa, GF(p^m) Multiplication Using Polynomial Residue Number Systems [pdf, postscript]. IEEE Trans on Circuits and Systems II, Vol 42, No 11, pp 718-721, Nov 1995.

M.G.Parker and M.Benaissa, Unusual-Length Number-Theoretic Transforms Using Recursive Extensions of Rader's Algorithm [pdf, postscript] IEE Proc-Vis, Image Signal Process, Vol 142, No 1, pp 31-34, Feb 1995.

M.G.Parker and M.Benaissa, VLSI Structures for Bit Serial Modular Multiplication Using Basis Conversion, [pdf, postscript] IEE Proc-Comput.Digit.Tech, Vol 141,No 6,pp 381-390, Nov 1994.

Refereed Conference Papers

Lars Eirik Danielsen and Matthew G. Parker, The selfnegadual properties of generalised quadratic Boolean functions, [pdf] Int. Workshop on Coding and Cryptography April 2011, Paris.

Joakim Knudsen, Constanza Riera, Lars Eirik Danielsen, Matthew G. Parker, and Eirik Rosnes, Improved Adaptive Belief Propagation Decoding Using Edge-Local Complementation, [pdf] Proceedings of IEEE International Symposium on Information Theory (ISIT 2010), Austin, Texas, 2010.

Joakim Knudsen, Constanza Riera, Lars Eirik Danielsen, Matthew G. Parker, and Eirik Rosnes, On iterative decoding of HDPC codes using weight-bounding graph operations, [pdf] Proceedings of 21st International Zürich Seminar on Communications (IZS 2010), Zürich, Switzerland, 2010. Also presented at the HDPCC Workshop, Tel Aviv University, Israel, 2010.

Joakim Grahl Knudsen, Constanza Riera, Lars Eirik Danielsen, Matthew G. Parker, and Eirik Rosnes, Iterative Decoding on Multiple Tanner Graphs Using Random Edge Local Complementation [pdf] Int. Symp. Information Theory (ISIT), Seoul, South Korea, 2009.

Lars Eirik Danielsen and Matthew G. Parker, Directed Graph Representation of Half-Rate Additive Codes over GF(4) [pdf] International Workshop on Coding and Cryptography May 10-15, 2009, Ullensvang (Norway). arxiv.org/abs/0902.3883.

Joakim Grahl Knudsen, Constanza Riera, Matthew G. Parker and Eirik Rosnes, Adaptive Soft-Decision Iterative Decoding Using Edge Local Complementation [pdf] 2nd International Castle Meeting on Coding Theory and Applications, 2ICMCTA, Castillo de la Mota. Medina del Campo (Valladolid), 15-19 September 2008.

Claude Carlet, Lars Eirik Danielsen, Matthew G. Parker, and Patrick Sole, Self Dual Bent Functions, [pdf] Boolean Functions, Cryptography and Applications, BFCA'08, May 2008.

Lars Eirik Danielsen and Matthew G. Parker, Edge Local Complementation and Equivalence of Binary Linear Codes, [pdf, postscript] Workshop on Coding and Cryptography (WCC), April 2007.

Lars Eirik Danielsen, Constanza Riera, and Matthew G. Parker, Graph Equivalence from Equivalent Quantum States, 20th British Combinatorial Conference, Durham, UK, 10 July - 15 July, 2005.

T. Aaron Gulliver and Matthew G. Parker, The Multivariate Merit Factor of a Boolean Function, [pdf, postscript], ITW2005, IEEE ITSOC Information Theory Workshop 2005 on Coding and Complexity, Rotorua, New Zealand, 29th Aug. - 1st Sept. 2005.

Lars Eirik Danielsen and Matthew G. Parker, On the classification of all self-dual additive codes over GF(4) of length up to 12, [pdf, postscript] Optimal Codes and Related Topics, Pamporovo, Bulgaria, June 2005.

Constanza Riera and Matthew G. Parker, On Pivot Orbits of Boolean Functions, [pdf, postscript], Optimal Codes and Related Topics, Pamporovo, Bulgaria, June 2005.

Constanza Riera and Matthew G. Parker, Spectral Interpretations of the Interlace polynomial, [pdf, postscript] WCC2005, Bergen, March 2005.

L.E. Danielsen and M.G. Parker, Spectral Orbits and Peak-to-Average Power Ratio of Boolean Functions with respect to the {I,H,N}^n Transform, - Extended Abstract, Sequences and their Applications, SETA04, Seoul, South Korea, October 2004.

M.G.Parker and C.Tellambura, A Construction for Binary Sequence Sets with Low Peak-to-Average Power Ratio, [pdf, postscript] Int. Symp. Information Theory, Lausanne, Switzerland, pp. 239, June 30-July 5, 2002.

C.Tellambura and M.G.Parker, Relationship Between Hamming Weight and Peak-to-mean Envelope Power Ratio of Orthogonal Frequency Division Multiplexing, [pdf, postscript] Int. Symp. Information Theory, Lausanne, Switzerland, pp. 245, June 30-July 5, 2002.

M.G.Parker, Even Length Binary Sequence Families with Low Negaperiodic Autocorrelation [pdf, postscript] AAECC 14, Nov 26-30, Melbourne, Australia, 2001.

M.G.Parker and V.Rijmen, The Quantum Entanglement of Bipolar Sequences [pdf, postscript] SETA01, Bergen, Norway, May 13-17, 2001.

M.G.Parker and C.Tellambura, Generalised Rudin-Shapiro Constructions [pdf, postscript] WCC2001 International Workshop on Coding and Cryptography, Paris(France), Jan 8-12, 2001. Electronic Notes in Discrete Mathematics, 6, April 2001
Guest Editors: Daniel Augot and Claude Carlet

M.G.Parker and M.H.Lee, Optimal Bipolar Sequences for the Complex Reverse-Jacket Transform [pdf, postscript] ISITA2000, Hawaii, Nov 5-8, 2000.

M.G.Parker, Quantum Factor Graphs (long version) [pdf, postscript] Short version presented at 2nd Int. Symp. on Turbo Codes and Related Topics, Brest, Sept 4-7, 2000. Long version in 'Annals of Telecom', 2001. Also at: quant-ph/0010043.

M.G.Parker, The Constabent Properties of Golay-Davis-Jedwab Sequences, [pdf, postscript] Int. Symp. Information Theory, Sorrento, p. 302, June 25-30, 2000.

M.G.Parker, Conjectures on the Size of Constellations Constructed from Direct Sums of PSK Kernels [pdf, postscript] LNCS 1719,Copyright Springer-Verlag
Presented in part at 13th International Symposium, AAECC-13, Honolulu, Hawaii, pp 420-429, 14-19 Nov, 1999.

M.G.Parker and S.J.Shepherd, The Generation of Finite Alphabet Codewords With No Mutual Cyclic Shift Equivalence [pdf, postscript] 4th Int. Symp. on Communications Theory \& Applications, Ambleside, UK, 13-18 July, 1997.

M.G.Parker,S.J.Shepherd and S.K.Barton, Optimal Mappings of the Spectrum of BPSK/QPSK Sequences to Finite Polynomial Fields and Rings (Extended Abstract) [pdf, postscript] IEEE Information Theory Workshop (ITW '97), Longyearbyen,Svalbard,Norway, July 6-12, 1997.

M.G.Parker and M.Benaissa, Fault-Tolerant Linear Convolution using Residue Number Systems [pdf, postscript]. Proc of ISCAS '94, London, Vol 2, pp 441-445, May 1994.

M.G.Parker and M.Benaissa, Using Redundant Number Representations for Efficient VLSI Implementation of Modular Arithmetic, [pdf, postscript] Proc of IEE Coll on "Synthesis and Optimisation of Logic Systems", (E3,E10), Savoy Place, London, 14th Mar, 1994, Digest No: 1994/066.

M.G.Parker and M.Benaissa, Bit-Serial, VLSI Architecture for the Implementation of Maximum-Length Number-Theoretic Transforms Using Mixed Basis Representations, [pdf, postscript] Proc of ICASSP '93, Minneapolis, Vol I, pp 341-344, April 1993.

M.G.Parker and M.Benaissa, A Bit-Serial, VLSI Implementation of a 60-Point NTT Using Binary and Ternary Bases, Digest of Int Symp on DSP for Communication Systems, Univ of Warwick 7-9th Sept 1992.

Invited Talks

Matthew G. Parker, Generalised Complementary Arrays, [Slides] Guilin, China, October 2011.

Constanza Riera, Matthew G. Parker, Boolean functions whose restrictions are highly nonlinear, [pdf] Invited talk at ITW 2010 Dublin - IEEE Information Theory Workshop, 30 August - 3 Sept. 2010.

Matthew G. Parker, Aperiodic properties of Boolean functions, Invited talk at Enhancing Crypto-Primitives with Techniques from Coding Theory, NATO Advanced Research Workshop, Veliko Tarnovo, Bulgaria, 6-9 October 2008.

Matthew G. Parker, Close encounters with Boolean functions of three different kinds, [pdf] Invited talk at 2nd International Castle Meeting on Coding Theory and Applications, 2ICMCTA, Castillo de la Mota. Medina del Campo (Valladolid), Lecture Notes in Computer Science, LNCS 5228, 15-19 September 2008.

Matthew G. Parker and Alexander Pott, On Boolean functions which are bent and negabent, [pdf, postscript], Invited talk at Sequences, Subsequences, and (their) Consequences, University of Southern California, May 31 - June 2, 2007. Talk given by Prof. Alexander Pott.

M. G. Parker, Spectrally Bounded Sequences, Codes and States: Graph Constructions and Entanglement [pdf, postscript], Invited Talk at Eighth IMA International Conference on Cryptography and Coding, Cirencester, UK, 17-19 December, 2001, LNCS 2260, pp. 339 --, (2001), Copyright Springer-Verlag

Matthew G. Parker, Univariate and Multivariate Merit Factors, [pdf, postscript], SETA04 - Sequences and their Applications, Seoul, South Korea, October 2004.

Other Articles

Matthew G. Parker, Polynomial Residue Systems via Unitary Transforms, [pdf] in post-proceedings of "Contact Forum Coding Theory and Cryptography III", THE ROYAL FLEMISH ACADEMY OF BELGIUM FOR SCIENCE AND THE ARTS, Brussels, Belgium.

Chapters in Books

Tor E. Bjørstad and Matthew G. Parker, Equivalence Between Certain Complementary Pairs of Types I and III, [pdf] in Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes, Volume 23, NATO Science for Peace and Security Series - D: Information and Communication Security, Edited by: B. Preneel, S. Dodunekov, V. Rijmen and S. Nikova, June 2009.

M.G. Parker, K.G. Paterson and C.Tellambura, Golay Complementary Sequences [postscript], Wiley Encyclopedia of Telecommunications,Editor: J.G.Proakis, Wiley Interscience,2002.

C.Tellambura and M.G.Parker, Peak-to-average power ratio of orthogonal frequency division multiplexing, Wiley Encyclopedia of Telecommunications,Editor: J.G.Proakis, Wiley Interscience,2002.

M.G.Parker - Joint author of NESSIE Security Report, (coordinator for chapter on Block Ciphers), NESSIE, 2002, To be published as a volume in Lecture Notes in Computer Science, 2005.

Editor of Books, Conference Proceedings

Editors: Solomon W. Golomb, Matthew G. Parker, A. Pott, A. Winterhof, Sequences and Their Applications - SETA 2008, University of Kentucky, Lexington, KY, Lecture Notes in Computer Science, LNCS 5203, Sept. 14-18, 2008.

Editor: Matthew G. Parker, Cryptography and Coding – IMACC 2009, Cirencester, UK, Lecture Notes in Computer Science, LNCS 5921, 2009.

Co-Editor: Matthew G. Parker, Special issue of Designs, Codes and Cryptography, Workshop on Coding and Cryptography, vol. 59 (1-3), 2011.

Posters

C. Riera and Matthew G. Parker, A Generalisation of Graph States to Two-Graph States, International Workshop on Measurement-Based Quantum Computing, Oxford, 18-21 March 2007.

Other Conference Papers (Unrefereed)

Lars Eirik Danielsen, Matthew G. Parker, Constanza Riera, and Joakim Grahl Knudsen, On graphs preserved by edge local complementation, 10th Nordic Combinatorial Conference (NORCOM 2010), 26–28 May 2010, Reykjavik, Iceland.

Lars Eirik Danielsen, Constanza Riera, and Matthew G. Parker, Graph equivalence from equivalent quantum states, 20th British Combinatorial Conference (BCC 2005), 10–15 Jul. 2005, Durham, UK.

M.G. Parker, The Non-Alignment Properties of BPSK Sequences with Good Peak Factor [pdf, postscript] European Cooperation in the Field of Scientific and Technical Research, EURO-COST, COST 259 TD(00) 048, Bergen, Norway, 27-28 April 2000.

Technical Reports

Joakim Grahl Knudsen, Constanza Riera, Lars Eirik Danielsen, Matthew G. Parker, and Eirik Rosnes, Random edge-local complementation with applications to iterative decoding of HDPC codes, [pdf] Reports in Informatics 395, University of Bergen, Aug. 2010.

Constanza Riera and Lars Eirik Danielsen and Matthew G. Parker, On Pivot Orbits of Boolean Functions, arXiv:math/0604396v1 [math.CO], April 2006.

L.E. Danielsen, T.A. Gulliver and M.G. Parker, Aperiodic Propagation Criteria for Boolean Functions, [pdf, postscript], ECRYPT Internal Document, STVL-UiB-1-APC-1.0, August 2004.

M.G.Parker and C.Tellambura A Construction for Binary Sequence Sets with Low Peak-to-Average Power Ratio, [pdf, postscript] Reports in Informatics, University of Bergen, Report No 242, ISSN 0333-3590, February 2003.

M.G.Parker, Generalised S-Box Nonlinearity, [pdf, postscript] NESSIE Public Document, 11.02.03: NES/DOC/UIB/WP5/020/A

Preprints

Lars Eirik Danielsen, Matthew G. Parker, Constanza Riera, Joakim Grahl Knudsen, On graphs and codes preserved by edge local complementation, [pdf] Jun. 2010. (arXiv)

Internal Reports

M.G.Parker and H.Raddum, Z4-Linear Cryptanalysis, NESSIE Internal Report, 27/06/2002: NES/DOC/UIB/WP5/018/1.

M.G.Parker, Z2 and Z4-Linear Subspace Approximations, NESSIE Internal Report, 29/06/2002: NES/DOC/UIB/WP5/019/A.

M.G.Parker, Complete Linear Cryptanalysis, NESSIE Internal Report, 16/08/2002: NES/DOC/UIB/WP5/021/A.

M.G.Parker,S.J.Shepherd and S.K.Barton, Final Report of EPSRC Grant GR/K48914: Multi-Function Coding for Minimisation of Peak Envelope Power and Error Control in Multitone Modulation Systems, University of Bradford Internal Report No 601, 1997.

M.G.Parker,S.J.Shepherd and S.K.Barton, Multi-Function Coding for Minimisation of Peak Envelope Power and Error Control in Multitone Modulation Systems, 2nd Annual Conference of the Communications Signal Processing and Coding Programme (EPSRC), Sheffield, 22/23 Jan, 1997.

M.G.Parker and M.Benaissa, VLSI Algorithms and Architectures for NTT-Based Systems and Applications, Internal Report, Huddersfield University, U.K., Feb 1993.

Supervisor for the Following PhD Theses

Ramij Rahaman, Study of nonlocal correlations & entanglement in the context of quantum information processing, [pdf], PhD thesis, Dept. Informat., Univ. Bergen, Norway, Feb. 2012.

Joakim Grahl Knudsen, On Iterative Decoding of High-Density Parity-Check Codes Using Edge-Local Complementation, [pdf], PhD thesis, Dept. Informat., Univ. Bergen, Norway, Nov. 2010.

Tor Erling Bjørstad, On the Security of Cryptographic Primitives, PhD thesis, Dept. Informat., Univ. Bergen, Norway, March 2010.

Lars Eirik Danielsen, On Connections Between Graphs, Codes, Quantum States, and Boolean Functions, [pdf], PhD thesis, Dept. Informat., Univ. Bergen, Norway, May 2008.

Constanza Riera Burger, Spectral Properties of Boolean functions, Graphs and Graph States, [pdf, Errata: pdf], Doctoral Thesis, submitted October, 2005, defended January 2006 - co-supervisor, Ignacio Luengo Velasco, Universidad Complutense de Madrid.

Supervisor for the Following Masters Theses

Yngve Ådlandsvik, Generalized Bent and/or Negabent Constructions, [pdf] Master's Thesis, April, 2012.

Mohamed Ahmed A. M. A. Abdelraheem, A Database for Boolean Functions and Constructions of Generalized Complementary Pairs, Master's Thesis, June, 2008.

Michael Mortensen, Secret Sharing and Secure Multi-party Computation, Master's Thesis, July, 2007.

Halvor Utby, A Survey on Turbo Codes and Recent Developments, Master's Thesis, Dec., 2006.

Svein Bjarte Aasestøl, On the Structure of Low Autocorrelation Binary Sequences, Master's Thesis, Dec., 2005.

Joakim Grahl Knudsen, Randomised Construction and Dynamic Decoding of LDPC Codes, [pdf, postscript], Master's Thesis, November, 2005.

D. Storøy, On Boolean Functions, Unitary Transforms, and Recursions, Master's Thesis, July, 2005.

Lars Eirik Danielsen, On Self-Dual Quantum Codes, Graphs, and Boolean Functions Master's Thesis, March, 2005.

R.A.Kristiansen, On the Aperiodic Autocorrelation of Binary Sequences, [pdf, postscript], Master's Thesis, March 7, 2003.


Other Pictures
Database of Pivot Orbits
Database of Bipartite Pivot Orbits
Technical Reports for Inst. of Informatics

My PhD Thesis

M.G.Parker, VLSI Algorithms and Architectures for the Implementation of Number-Theoretic Transforms, Residue and Polynomial Residue Number Systems, PhD thesis, awarded by the School of Eng, University of Huddersfield, U.K., July 1995.

Manuscripts

Constanza Riera, Lars Eirik Danielsen, and Matthew G. Parker, On Pivot Orbits of Boolean functions, [pdf, postscript], preprint at: math.CO/0604396. April 2006.

Constanza Riera, George Petrides and Matthew G. Parker, Generalised Bent Criteria for Boolean Functions (II), [pdf, postscript] Also at: cs.IT/0502050.

M.G.Parker, A Mapping From Length n Binary Linear Block Codes to Length 2^n Bipolar Bent and Almost Bent Sequences [pdf, postscript], 2000.

M.G.Parker, A Modified Jacobi Sequence Construction Using Multi-Rate Legendre Sequences [pdf, postscript], 2000.

M.G.Parker, Legendre and Twin Prime Sequences: Trace and Multi-Rate Representations [pdf, postscript], 1999.

M.G.Parker and C.Tellambura, Golay-Davis-Jedwab Complementary Sequences and Rudin-Shapiro Constructions [pdf, postscript], 2001.

Papers that will now never be written......

Basis Converters for Generalised Redundant Number Representations, Forever In Preparation

Special Cases of Montgomery's Algorithm, Forever In Preparation

Useful links

Bipolar Complementary Sequence Pairs of Type III
The Online Database of Boolean Functions
Lars Eirik Danielsen's Webpage with links to a Database of Stabilizer Quantum Codes, databases of local complementation and pivot orbits, and other things
Ramij Rahaman's Webpage
Quantum Physics arXiv
Computer Science arXiv...select cs.IT for Information Theory
Sage notebooks
Markus Grassl's Code Tables: Bounds on the parameters of various types of codes
Neil Sloane's Integer Sequence Database
Combinatorial Data (Brendan Mackay)
Combinatorial Catalogues (Gordon Royle)
Open problems in quantum information theory
the polymath blog
Arnt Flatmo's site for mountains in Hordaland, Sogn og Fjordane and Møre og Romsdal (Norway)
QUANTIKI
WIKI
IEEE/IEE Digital Library
msri video lectures
Quantum Information and Computation
Electronic Journal of Combinatorics
Theory of Computing
Virtual Journal of Quantum Information
Math-Sci-Net
Springer Link
New Scientist
Nature
Time Zones
Int. Dialing Codes
QIP at Oxford
QIP at Cambridge
Last updated 07.03.14.