Research
 Publications

Edited Volumes
 K.U. Schmidt, A. Winterhof, eds., Lecture Notes in Computer Science vol. 8865, Sequences and Their Applications — SETA 2014, SpringerVerlag, 2014.
Book Chapters
 (with J. Jedwab) Finite fields in engineering, Handbook of Finite Fields, Ch. 17.3 (G. L. Mullen and D. Panario, eds.).
Preprints (submitted)
Artikel
 (with D. Bartoli) Lowdegree planar polynomials over finite fields of characteristic two, J. Algebra, accepted.
 Quadratic and symmetric bilinear forms over finite fields and their association schemes, Algebraic Combin., accepted.
 (with Ch. Günther) Sequence pairs with asymptotically optimal aperiodic correlation, IEEE Trans. Inform. Theory, accepted.
 Asymptotically optimal Boolean functions, J. Combin. Theory Ser. A 164, 5059, 2019.
 (with Y. Zhou) On the number of inequivalent Gabidulin codes, Des. Codes Cryptogr. 86(9) 19731982, 2018.
 Hermitian rank distance codes, Des. Codes Cryptogr. 86(7), 14691481, 2018.
 (with Ch. Günther) L^{q} norms of Fekete and related polynomials, Canad. J. Math. 69(4), 807825, 2017.
 (with Ch. Günther) Merit factors of polynomials derived from difference sets, J. Combin. Theory Ser. A 145, 340363, 2017.
 The correlation measures of finite sequences: limiting distributions and minimum values, Trans. Amer. Math. Soc. 369(1), 429446, 2017.
 (with A. Pott and Y. Zhou) Pairs of quadratic forms over finite fields, Electron. J. Combin. 23(2), Paper #P2.8, 2016.
 Nonlinearity measures of random Boolean functions, Cryptogr. Commun. 8(4), 637645, 2016.
 (with J. Willms) Barker sequences of odd length, Des. Codes Cryptogr. 80(2), 409414, 2016.
 (with F. Caullery and Y. Zhou) Exceptional planar polynomials, Des. Codes Cryptogr. 78(3), 605613, 2016.
 Sequences with small correlation, Des. Codes Cryptogr. 78(1), 237267, 2016.
 (with F. Caullery) On the classification of hyperovals, Adv. Math. 283, 195203, 2015.
 Symmetric bilinear forms over finite fields with applications to coding theory, J. Algebraic Combin. 42(2), 635670, 2015.
 Highly nonlinear functions, Des. Codes Cryptogr. 74(3), 665672, 2015.
 (with J. P. Bell, J. Jedwab and M. Khatirinejad) Threephase Barker arrays, J. Combin. Des. 23(2), 4559, 2015.
 (with Y. Zhou) Planar functions over fields of characteristic two, J. Algebraic Combin. 40(2), 503526, 2014.
 (with A. Pott and Y. Zhou) Semifields, relative difference sets, and bent functions, Algebraic curves and finite fields, 161178, Radon Ser. Comput. Appl. Math. 16, De Gruyter, 2014.
 The peak sidelobe level of random binary sequences, Bull. London Math. Soc. 46(3), 643652, 2014.
 An extremal problem for polynomials, C. R. Math. Acad. Sci. Paris 352(2), 9597, 2014.
 (with J. Jedwab and D. J. Katz) Littlewood polynomials with small L^{4} norm, Adv. Math. 241, 127136, 2013.
 On a problem due to Littlewood concerning polynomials with unimodular coefficients, J. Fourier Anal. Appl. 19(3), 457466, 2013.
 (with J. Jedwab and D. J. Katz) Advances in the merit factor problem for binary sequences, J. Combin. Theory Ser. A 120(4), 882906, 2013.
 (with J. Jedwab) The L_{4} norm of Littlewood polynomials derived from the Jacobi symbol, Pacific J. Math. 257(2), 395418, 2012.
 On random binary sequences, Lecture Notes in Computer Science vol. 7280 (Sequences and Their Applications — Proceedings of SETA 2012), SpringerVerlag, pp. 303314, 2012.
 Binary sequences with small peak sidelobe level, IEEE Trans. Inform. Theory 58(4), 25122515, April 2012.
 The merit factor of binary arrays derived from the quadratic character, Adv. Math. Commun. 5(4), 589607, 2011.
 On the correlation distribution of DelsarteGoethals sequences. Des. Codes Cryptogr. 59(13), 333347, 2011.
 Sequence families with low correlation derived from multiplicative and additive characters. IEEE Trans. Inform. Theory 57(4), 22912294, 2011.
 Symmetric bilinear forms over finite fields of even characteristic. J. Combin. Theory Ser. A 117(8), 10111026, 2010.
 Bounds on the PMEPR of translates of binary codes. IEEE Commun. Lett. 14(11), 10591061, 2010.
 (with J. Jedwab) Appended msequences with merit factor greater than 3.34. Lecture Notes in Computer Science vol. 6338 (Sequences and Their Applications — Proceedings of SETA 2010), SpringerVerlag, pp. 204216, 2010.
 (Awarded with the Best Paper Award of SETA 2010, given by Springer Verlag.)
 (with J. Jedwab) The merit factor of binary sequence families constructed from msequences. Contemp. Math. 518, 265278, 2010.
 Z_{4}Valued Quadratic Forms and Quaternary Sequence Families. IEEE Trans. Inform. Theory 55(12), 58035810, 2009.
 (with J. Jedwab and M. G. Parker) Two binary sequence families with large merit factor. Adv. Math. Commun. 3(2), 135156, 2009.
 Quaternary ConstantAmplitude Codes for Multicode CDMA. IEEE Trans. Inform. Theory 55(4), 18241832, 2009.
 On the PeaktoMean Envelope Power Ratio of PhaseShifted Binary Codes. IEEE Trans. Commun. 56(11), 18161823, 2008.
 (with M. G. Parker and A. Pott) Negabent Functions in the MaioranaMcFarland Class. Lecture Notes in Computer Science vol. 5203 (Sequences and Their Applications — Proceedings of SETA 2008), SpringerVerlag, pp. 390402, 2008.
 Complementary Sets, Generalized ReedMuller Codes, and Power Control for OFDM. IEEE Trans. Inform. Theory 53(2), 808814, 2007.
 On Cosets of the Generalized FirstOrder ReedMuller Code with Low PMEPR. IEEE Trans. Inform. Theory 52(7), 32203232, 2006.
 (with A. Finger) Constructions of Complementary Sequences for PowerControlled OFDM Transmission. Lecture Notes in Computer Science vol. 3969 (Coding and Cryptography — Revised Selected Papers of WCC 2005), pp. 330345, 2006.
 (with A. Finger) Simple MaximumLikelihood Decoding of Generalized Firstorder ReedMuller Codes. IEEE Commun. Lett. 9(10), 912914, 2005.
 Talks

This is a selection of recent and future talks:
 Hyperovals in P^{2}(F_{q}), Academy Contact Forum "Coding Theory and Cryptography VI", Brussels, 2015. (Invited talk)
 Hermitian and symmetric rank distance codes, International Conference on Finite Fields and their Applications, Saratoga Springs, NY, 2015.
 Symmetric rank distance codes, Algebraic combinatorics and applications (ALCOMA), 2015, Banz, Germany.
 Symmetric matrices over finite fields with applications to coding theory. BIRS Workshop on Mathematics of Communications: Sequences, Codes and Designs, Banff, Canada, 2015. (Invited participant)
 On the classification of hyperovals. Fourth Irsee Conference on Finite Geometries, Irsee, Germany, 2014. (Invited participant)
 On the classification of hyperovals. Combinatorics 2014, Gaeta, Italy, 2014.
 Difference sets, correlations, and flat polynomials. Séminaire Arithmétique et Théorie de l’Information, Luminy Institute of Mathematics, France, 2014. (Invited talk)
 Difference sets, correlations, and flat polynomials. ReinholdBaerKolloquium, Kaiserslautern, Germany, 2013. (Invited talk)
 Highly nonlinear functions. International Conference on Finite Fields and their Applications, Magdeburg, Germany, 2013.
 Low autocorrelation sequences. Workshop on Coding and Cryptography, Bergen, Norway, 2013. (Plenary talk)
 Advances in the merit factor problem for binary sequences. Finite Fields and Their Applications: Character Sums and Polynomials, Strobl, Austria, 2012. (Invited participant)
 On random binary sequences. Sequences and Their Applications, University of Waterloo, Canada, 2012.
 The peak sidelobe level of binary sequences. Algebra and Geometry Seminar, OttovonGuericke University, Germany, 2012.
 The peak sidelobe level of binary sequences. Discrete Math Seminar, Simon Fraser University, Canada, 2011.
 Symmetric matrices over finite fields. Canadian Discrete and Algorithmic Mathematics Conference, University of Victoria, Canada, 2011. (Invited talk)
 What's special about 0.3420...? How to increase the merit factor of binary sequences. Combinatorial Potlatch, Western Washington University, WA, 2010. (Invited talk)
 From Dirichlet characters to binary sequences with large merit factor. Canadian Mathematical Society Winter Meeting, Vancouver, Canada, 2010 (Invited talk)
 Appended msequences with merit factor greater than 3.34. Sequences and Their Applications, Paris, France, 2010.
 Appended msequences with merit factor greater than 3.34. Discrete Math Seminar, Simon Fraser University, Canada, 2010.
 Symmetric bilinear forms over finite fields of even characteristic. Kolloquium über Kombinatorik, OttovonGuericke University, Germany, 2009.
 Conference Organisation

 Joint Annual Meeting of the German Mathematics Society (Deutsche MathematikerVereinigung  DMV) and Society for Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik  GDM), Paderborn, Germany, March 2018, Member of the Organising Committee.
 Colloquium on Combinatorics, Paderborn, Germany, November 2016, Coorganiser (with Eckhard Steffen).
 Sequences and Their Applications 2016, Chengdu, China, October 2016. Cochair of the Technical Program Committee (with Udaya Parampalli).
 Sequences and Their Applications 2014, Melbourne, Australia, November 2014. Cochair of the Technical Program Committee (with Arne Winterhof).
 International Workshop on the Arithmetic of Finite Fields, Gebze, Turkey, September 2014. Member of the Technical Program Committee.
 The 11th International Conference on Finite Fields and Their Applications, Magdeburg, Germany, July 2013. Member of the Local Organising Committee.
 Sequences and Their Applications 2012, Waterloo, ON, Canada, June 2012. Member of the Technical Program Committee.
 5th International Workshop on Signal Design and Its Applications in Communications, Guilin, China, November 2011. Member of the Technical Program Committee.
 Sequences and Their Applications 2010, Paris, France, September 2010. Member of the Technical Program Committee.