Refereed articles (Journals or refereed proceedings)

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1 Refereed articles (Journals or refereed proceedings) [1] Dieter Jungnickel and Alexander Pott. Two results on difference sets. In Colloquia Mathematica Societatis János Bolyai 52. Combinatorics, volume 52, pages , Eger (Hungary), [2] Alexander Pott. Applications of the DFT to abelian difference sets. Arch. Math., 51: , [3] Alexander Pott. A note on non-abelian difference sets. Europ. J. Combinatorics, 9: , [4] K. T. Arasu and Alexander Pott. Relative difference sets with multiplier 2. Ars Combinatoria, 27: , [5] Dieter Jungnickel and Alexander Pott. Computational non-existence results for abelian affine difference sets. Congressus Numerantium, 68:91 98, [6] Alexander Pott. On abelian difference sets with multiplier -1. Arch. Math., 53: , [7] Alexander Pott. A note on self-orthogonal codes. Discrete Math., 76: , [8] K. T. Arasu, James Davis, Dieter Jungnickel, and Alexander Pott. A note on intersection numbers of difference sets. European J. Combin., 11:95 98, [9] K. T. Arasu, Dieter Jungnickel, and Alexander Pott. Divisible difference sets with multiplier -1. Journal of Algebra, 133(1):35 62, [10] Alexander Pott. An affine analogue of Wilbrink s theorem. J. Comb. Theory Ser.A, 55: , [11] Alexander Pott. On multiplier theorems. In Dijen K. Ray-Chaudhuri, editor, Coding theory and design theory, Part II Design Theory, volume 21 of The IMA volumes in mathematics and its applications, pages Springer, [12] Alexander Pott. On symmetric designs whose incidence matrices satisfy a certain condition. J. Combin. Math. Combin. Comput., 8:13 16, [13] K. T. Arasu, James Davis, Dieter Jungnickel, and Alexander Pott. Some nonexistence results on divisible difference sets. Combinatorica, 11(1):1 8, [14] K. T. Arasu, Willem H. Haemers, Dieter Jungnickel, and Alexander Pott. Matrix constructions of divisible designs. Linear Algebra Appl., 153: , [15] K. T. Arasu, Dieter Jungnickel, and Alexander Pott. The Mann test for divisible difference sets. Graphs and Combinatorics, 7: , [16] K. T. Arasu, Dieter Jungnickel, and Alexander Pott. Symmetric divisible designs with k λ 1 = 1. Discrete Math., 97:25 38, [17] K. T. Arasu and Alexander Pott. Group divisible designs with 2 a points. Utilitas Mathematica, 39: , [18] K. T. Arasu and Alexander Pott. On quasiregular collineation groups of projective planes. Des., Codes, Cryptogr., 1:83 92, [19] K. T. Arasu and Alexander Pott. Some constructions of group divisible designs with Singer groups. Discrete Math., 97:39 45, 1991.

2 [20] Alexander Pott and Mohan Shrikhande. t-designs with few intersection numbers. Discrete Math., 90: , [21] K. T. Arasu and Alexander Pott. Cyclic affine planes and Paley difference sets. Discrete Math., 106/107:19 23, [22] Alexander Pott. A generalization of a construction of Lenz. Sankhyā, Ser.A, 54: , [23] Alexander Pott. New necessary conditions on the existence of abelian difference sets. Combinatorica, 12(1):89 93, [24] Alexander Pott. On abelian difference set codes. Des., Codes, Cryptogr., 2: , [25] Alexander Pott. On the complexity of normal bases. Bull. Inst. Combin. Appl., 4:51 52, [26] Alexander Pott. Maximal difference matrices of order q. Journal of Combinatorial Designs, 1(2): , [27] K. T. Arasu, Dieter Jungnickel, Siu Lun Ma, and Alexander Pott. Strongly regular Cayley graphs with λ µ = 1. J. Comb. Theory Ser.A, 67: , [28] K. T. Arasu and Alexander Pott. Variations on the McFarland and Spence constructions of difference sets. Australas. J. Comb., 10: , [29] Dieter Jungnickel and Alexander Pott. A new class of symmetric (v, k, λ)- designs. Des., Codes, Cryptogr., 4: , [30] Alexander Pott. On projective planes admitting elations and homologies. Geom. Dedicata, 52: , [31] Alexander Pott. On the structure of abelian groups admitting divisible difference sets. Journal of Combinatorial Theory, Series A, 65(2): , [32] K. T. Arasu, J. F. Dillon, D. Jungnickel, and A. Pott. The solution of the Waterloo problem. J. Comb. Theory Ser.A, 71(2): , [33] K. T. Arasu, Dieter Jungnickel, Siu Lun Ma, and Alexander Pott. Relative difference sets with n = 2. Discrete Math., 147:1 17, [34] S. L. Ma and A. Pott. Relative difference sets, planar functions, and generalized Hadamard matrices. Journal of Algebra, 175: , [35] Alexander Pott and Steven P. Bradley. Existence and nonexistence of almostperfect autocorrelation sequences. IEEE Trans. Inf. Th., 41(1): , January [36] Alexander Pott. A survey on relative difference sets. In K. T. Arasu, J.F. Dillon, K. Harada, S. Sehgal, and R. Solomon, editors, Groups, Difference Sets, and the Monster. Proceedings of a Special Research Quarter at the Ohio State University, Spring 1993, pages , Berlin, Walter de Gruyter. [37] Alexander Pott, Dirk Reuschling, and Bernhard Schmidt. A multiplier theorem for projections of affine difference sets. J. Stat. Plann. Inference, 62(200):63 67, 1997.

3 [38] Dieter Jungnickel and Alexander Pott. Difference sets: An introduction. In Alexander Pott, P. Vijay Kumar, Tor Helleseth, and Dieter Jungnickel, editors, Difference sets, sequences and their correlation properties, volume 542 of NATO Science Series. Kluwer Academic Publishers, Dordrecht, [39] Dieter Jungnickel and Alexander Pott. Perfect and almost perfect sequences. Discrete Applied Mathematics, 95: , [40] Holger Glaab and Alexander Pott. The Hamiltonian p-median problem. Electron. J. Combin., 7(1), R42. [41] K. T. Arasu, Yuqing Chen, and Alexander Pott. Hadamard and conference matrices. J. Algebraic Combin., 14(2): , September [42] K.T. Arasu and Alexander Pott. A nonexistence result on negacirculant conference matrices. Congressus Numerantium, 150: , [43] Hans Dobbertin, Donald Mills, Eva Nuria Müller, Alexander Pott, and Wolfgang Willems. APN functions in odd characteristic. Discrete Appl. Math., 267(1 3):95 112, [44] Alexander Pott and Gohar Kyureghyan. On the linear complexity of the Sidelnikov-Lempel-Cohn-Eastman sequences. Des., Codes, Cryptogr., 29: , [45] Alexander Pott. Nonlinear functions in abelian groups and relative difference sets. Discrete Appl. Math., 138: , [46] Alexander Pott. Group algebras and correlation immune functions. In Tor Helleseth and Dilip Sarwate, editors, Sequences and Their Applications Proceedings of SETA 04, volume 3486 of Lecture Notes in Computer Science, pages Springer-Verlag, [47] Yves Edel, Gohar Kyureghyan, and Alexander Pott. A new APN function which is not equivalent to a power mapping. IEEE Trans. Inform. Theory, 52(2): , [48] Lilya Budaghyan, Claude Carlet, and Alexander Pott. New classes of almost bent and almost perfect nonlinear polynomials. IEEE Trans. Inform. Theory, 52(3): , [49] K. T. Arasu, Yu Qing Chen, and Alexander Pott. On abelian (2 2m+1 (2 m 1 + 1), 2 m (2 m + 1), 2 m )-difference sets. J. Combin. Theory Ser. A, 113(6): , [50] Matthew G. Parker and Alexander Pott. On boolean functions which are bent and negabent. In Solomon W. Golomb, Guang Gong, Tor Helleseth, and Hong- Yeop Song, editors, Sequences, Subsequences and Consequences, volume 4893 of Lecture Notes in Computer Science, pages 9 23, Berlin, Heidelberg, Springer-Verlag. [51] Doreen Hertel and Alexander Pott. Two results on maximum nonlinear functions. Des., Codes, Cryptogr., 47: , [52] Alexander Pott. Two applications of relative difference sets: Difference triangles and negaperiodic autocorrelation functions. Discrete Math., 308: , 2008.

4 [53] Gohar Kyureghyan and Alexander Pott. Some theorems on planar functions. In Joachim von zur Gathen, José Luis Imaña, and Çetin Kaya Koç, editors, Arithmetic of Finite Fields, volume 5130 of Lecture Notes in Computer Science, pages Springer Berlin/Heidelberg, [54] Faruk Göloğlu and Alexander Pott. Results on crosscorrelation and autocorrelation of sequences. In Solomon W. Golomb, Matthew G. Parker, Alexander Pott, and Arne Winterhof, editors, Sequences and Their Applications - SE- TA 2008, volume 5203 of Lecture Notes in Computer Science, pages Springer Berlin/Heidelberg, [55] Kai-Uwe Schmidt, Matthew G. Parker, and Alexander Pott. Negabent funtions in the Maiorana-McFarland class. In Solomon W. Golomb, Matthew G. Parker, Alexander Pott, and Arne Winterhof, editors, Sequences and Their Applications - SETA 2008, volume 5203 of Lecture Notes in Computer Science, pages Springer Berlin/Heidelberg, [56] Tor Helleseth, Gohar Kyureghyan, Geir Jarle Ness, and Alexander Pott. On a family of perfect nonlinear binomials. In Bart Preneel and Oleg A. Logachev, editors, Boolean Functions in Cryptology and Information Security, pages NATO Advanced Study Institute, IOS Press, [57] Lilya Budaghyan and Alexander Pott. On differential uniformity and nonlinearity of functions. Discrete Math, 309: , [58] Yves Edel and Alexander Pott. A new almost perfect nonlinear function which is not quadratic. Adv. Math. Commun., 3:59 81, [59] Yves Edel and Alexander Pott. On the equivalence of nonlinear functions. In Bart Preneel, Stefan Dodunekov, Vincent Rijmen, and Svetla Nikova, editors, Enhancing Cryptographic Primitives with Techniques from Coding Theory, pages NATO Advanced Research Workshop, IOS Press, [60] Alexander Pott, Yin Tan, Tao Feng, and San Ling. Association schemes arising from bent functions. In Alexander Kholosha, Eirik Rosnes, and Matthew Parker, editors, Preproceedings: The International Workshop on Coding and Cryptography, pages 48 61, Bergen, [61] Yves Edel and Alexander Pott. On designs and multiplier groups constructed from almost perfect nonlinear functions. In Matthew G. Parker, editor, Cryptography and Coding Twelfth IMA International Conference, volume 5921 of Lecture Notes in Comput. Sci., pages , Berlin, The Institute of Mathematics and its Applications, Springer. [62] K.T. Arasu and Alexander Pott. Perfect binary sequences of even period. Stat. Appl., 4(2,3): , [63] Faruk Göloğlu and Alexander Pott. Consequences of the multiplier conjecture to the existence of hadamard difference sets. J. Comb. Inf. Syst. Sci., 34(1 4): , [64] Alexander Pott and Yue Zhou. Switching construction of planar functions on finite fields. In M. Anwar Hasan and Tor Helleseth, editors, Arithmetic of Finite Fields, volume 6087 of Lecture Notes in Comput. Sci., pages Springer Berlin/Heidelberg, [65] Yin Tan, Alexander Pott, and Tao Feng. Strongly regular graphs associated with ternary bent functions. J. Comb. Theory Ser.A, 117(6): , 2010.

5 [66] Alexander Pott and Yue Zhou. A character theoretic approach to planar functions. Cryptogr. Commun., 3(4): , [67] Alexander Pott, Yin Tan, Tao Feng, and San Ling. Association schemes arising from bent functions. Des. Codes Cryptogr., 59(1-3): , [68] Laurent Poinsot and Alexander Pott. Non-Boolean almost perfect nonlinear functions on non-abelian groups. Internat. J. Found. Comput. Sci., 22(6): , [69] Alexander Pott and Yue Zhou. CCZ and EA equivalence between mappings over finite abelian groups. In Daniel Augot and Anne Canteaut, editors, Preproceedings: The International Workshop on Coding and Cryptography, pages , Paris, [70] Ferruh Özbudak Gohar M. Kyureghyan and Alexander Pott. Some planar maps and related function fields. In Arithmetic, Geometry, Cryptography and Coding Theory, volume 574 of Contemp. Math., pages Amer. Math. Soc., Providence, RI, [71] Alexander Pott, Qi Wang, and Yue Zhou. Sequences and functions derived from projective planes and ther difference sets. In Ferruh Özbudak and Francisco Rodríguez-Henríquez, editors, Arithmetic of Finite Fields, volume 7369 of Lecture Notes in Computer Science, pages Springer Berlin/Heidelberg, [72] Yue Zhou and Alexander Pott. A new family of semifields with 2 parameters. Adv. Math., 234:43 60, [73] Wei Su, Xiaohu Tang, and Alexander Pott. A note on a conjecture for balanced elementary symmetric Boolean functions. IEEE Trans. Inform. Theory, 59(1): , [74] Ayça Çeşmelioğlu, Wilfried Meidl, and Alexander Pott. On the dual of (non)- weakly regular bent functions and self-dual bent functions. Adv. Math. Commun., 7(4): , [75] Ayça Çeşmelioğlu, Wilfried Meidl, and Alexander Pott. Generalized Maiorana- McFarland class and normality of p-ary bent functions. Finite Fields Appl., 24: , [76] Alexander Pott and Yue Zhou. CCZ and EA equivalence between mappings over finite Abelian groups. Des. Codes Cryptogr., 66(1-3):99 109, [77] Wei Su, Alexander Pott, and Xiaohu Tang. Characterization of negabent functions and construction of bent-negabent functions with maximum algebraic degree. IEEE Trans. Inform. Theory, 59(6): , [78] Cunsheng Ding, Alexander Pott, and Qi Wang. Constructions of almost difference sets from finite fields. Des. Codes Cryptogr., 72(3): , [79] Ferruh Özbudak and Alexander Pott. Uniqueness of F q -quadratic perfect nonlinear maps from F q 3 to F 2 q. Finite Fields Appl., 29:49 88, [80] A. Pott, K.-U. Schmidt, and Y. Zhou. Semifields, relative difference sets, and bent functions. In Harald Niederreiter, Alina Ostafe, Daniel Panario, and Arne WInterhof, editors, Algebraic Curves and Finite Fields, volume 16 of Radon Series on Computational and Applied Mathematics, pages De Gruyter, 2014.

6 [81] D. Thomson A. Muratović-Ribić, A. Pott and Q. Wang. Semi-multiplicative planar functions over finite fields. in press: Proceedings Conference Finite Fields 2013, Magdeburg. [82] Ayça Çeşmelioğlu, Wilfried Meidl, and Alexander Pott. Bent functions and semifield spreads. submitted. [83] Alexander Pott, Kai-Uwe Schmidt, and Yue Zhou. Pairs of quadratic forms over finite fields. submitted. Editor [1] A. Pott, P. V. Kumar, T. Helleseth, and D. Jungnickel, editors. Difference sets, sequences and their correlation properties, volume 542 of NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences. Kluwer Academic Publishers Group, Dordrecht, [2] Solomon W. Golomb, Matthew G. Parker, Alexander Pott, and Arne Winterhof, editors. Sequences and their applications SETA 2008, volume 5203 of Lecture Notes in Computer Science. Springer, Berlin, [3] Claude Carlet and Alexander Pott, editors. Sequences and their applications SETA 2010, volume 6338 of Lecture Notes in Computer Science. Springer, Berlin, [4] Pascale Charpin, Alexander Pott, and Arne Winterhof, editors. Finite fields and their applications, volume 11 of Radon Series on Computational and Applied Mathematics. De Gruyter, Berlin, Character sums and polynomials. Others [1] Alexander Pott. Finite Geometry and Character Theory, volume 1601 of Lecture Notes in Mathematics. Springer-Verlag, Berlin, Heidelberg, [2] Dieter Jungnickel and Alexander Pott. Difference Sets: Abelian. In Charles J. Colbourn and Jeffrey H. Dinitz, editors, The CRC Handbook of Combinatorial Designs, pages CRC Press, Boca Raton, [3] Holger Glaab and Alexander Pott. Optimization problems in a semi-automatic device for cutting leather. In Willi Jäger and Hans-Joachim Krebs, editors, Mathematics Key Technology for the Future, pages Springer, Berlin, Heidelberg, New York, [4] Lilya Budaghyan, Claude Carlet, and Alexander Pott. New constructions of almost bent and almost perfect nonlinear polynomials. In Pascale Charpin and Øyvind Ytrehus, editors, Abstract Book of the International Workshop on Coding and Cryptography, Bergen (Norway), pages , [5] Dieter Jungnickel, Alexander Pott, and Ken W. Smith. Difference Sets. In Charles J. Colbourn and Jeffrey H. Dinitz, editors, The CRC Handbook of Combinatorial Designs, pages CRC Press, Boca Raton, [6] Faruk Göloğlu and Alexander Pott. Almost perfect nonlinear functions: A possible geometric approach. In S. Nikova, B. Preneel, L. Storme, and J.A. Thas, editors, Coding Theory and Cryptography II, pages Koninklijke Vlaamse Academie van België voor Wetenschappen en Kunsten, 2007.

Almost Difference Sets and Their Sequences With Optimal Autocorrelation

Almost Difference Sets and Their Sequences With Optimal Autocorrelation 2934 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 47, NO. 7, NOVEMBER 2001 Almost Difference Sets Their Sequences With Optimal Autocorrelation K. T. Arasu, Cunsheng Ding, Member, IEEE, Tor Helleseth,