Applied Discrete Mathematics and Cryptography

Publications


Peer Reviewed Journal Publication
  • R. Hofer, A. Winterhof (2018) On the 2-adic complexity of the two-prime generator. IEEE Transactions Information Theory, Bd. to appear, S. 10.
  • A. Winterhof, O. Yayla, V. Ziegler (2018) Non-existence of some nearly perfect sequences, near Butson-Hadamard matrices, and near conference matrices. Mathematics in Computer Science, Bd. to appear, S. 10.
  • D. Gómez-Pérez, L. Mérai, H. Niederreiter (2018) On the expansion complexity of sequences over finite fields. IEEE Trans. Inform. Theory, Bd. to appear, S. 10.
  • N. Anbar, A. Oduzak, V. Patel, L. Quoos, A. Somoza, A Topuzoglu (2018, online: 2017) On the difference between permutation polynomials over finite fields. Finite Fields and Their Applications, Bd. 49, S. 132-142.
  • L. Isik, A. Winterhof (2018, online: 2017) Carlitz rank and index of permutation polynomials. Finite Fields and Their Applications, Bd. 49, S. 156-165.
  • O. Roche-Newton, I. Shkredov, A. Winterhof (2017) Packing sets over finite abelian groups. Integers, Bd. to appear, S. 10.
  • C. Clason, A. Rund, and K. Kunisch (2017) "Total variation regularization of multi-material topology optimization". ESAIM: Mathematical Modelling and Numerical Analysis.
  • L. Merai, A. Winterhof (2017) On the Nth linear complexity of automatic sequences. Journal of Number Theory, Bd. to appear, S. 15.
  • N. Anbar, W. Meidl (2017) Modified planar functions and their components. Cryptogr. Commun., Bd. to appear, S. 14.
  • Mérai, L. (2017) On the elliptic curve endomorphism generator. Des. Codes Cryptogr., Bd. to appear, S. 10.
  • T. Martinsen, W. Meidl, S. Mesnager, P. Stanica (2017) Decomposing generalized bent and hyperbent functions. IEEE Trans. Inform. Theory, Bd. 63 (12), S. 7804--7812.
  • W. Meidl, I. Pirsic (2017) On the normality of p-ary bent functions. Cryptogr. Commun., Bd. to appear, S. 10.
  • N. Anbar, A. Bassa, P. Beelen (2017) A complete characterization of Galois subfields of the generalized Giulietti–Korchmáros function field. Finite Fields Appl., Bd. 48, S. 318--330.
  • N. Anbar, P. Beelen (2017) A note on a tower by Bassa, Garcia and Stichtenoth. Funct. Approx. Comment. Math. 57 (2017), no. 1, 47–60., Bd. 57 (1), S. 47-60.
  • L. Merai, A. Winterhof (2017) On the pseudorandomness of some automatic sequences. Cryptography and Communications, Bd. to appear, S. 1-12.
  • Mérai, L. (2017) On pseudorandom properties of certain sequences of points on elliptic curve. Lecture Notes Computer Science, Bd. 10064, S. 54-63.
  • T. Martinsen, W. Meidl, P. Stanica (2017) Partial spread and vectorial generalized bent functions. Designs, Codes, Cryptography, Bd. 85 (1), S. 1-13.
  • R. Hofer, A. Winterhof (2017) Linear complexity and expansion complexity of some number theoretic sequences. Lecture Notes Computer Science, Bd. 10064, S. 67-74.
  • Mérai, L. (2017) Predicting the elliptic curve congruential generator. Appl. Algebra Eng. Commun. Comput., Bd. 28 (3), S. 193-203.
  • L. Isik, A. Topuzoglu, A. Winterhof (2017) Complete mappings and Carlitz rank. Designs, Codes and Cryptography, Bd. 85, S. 121-128.
  • O. Roche-Newton, I.E. Shparlinski, A. Winterhof (2017) Analogues of the Balog--Wooley decomposition for subsets of finite fields and character sums with convolutions. Annals of Combinatorics, Bd. to appear, S. 25.
  • J. Dick, D. Gomez, F. Pillichshammer, A. Winterhof (2017) Digital inversive vectors can achieve strong polynomial tractability for the weighted star discrepancy and for multivariate integration. Proceedings American Mathematical Society, Bd. 145 (8), S. 3297-3310.
  • L. Isik, A. Winterhof (2017, online: 2017) Maximum-order complexity and correlation measures. Cryptography, Bd. 1 (1), S. 1-7.
  • L. Merai, H. Niederreiter, A. Winterhof (2017, online: 2017) Expansion complexity and linear complexity of sequences over finite fields. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences, Bd. 9 (4), S. 501-509.
  • M. Su, A. Winterhof (2017) On the pseudorandomness of quaternary sequences derived from sequences over F_4. Periodica Mathematica Hungarica, Bd. 74 (1), S. 79-87.
  • R. Hofer, A. Winterhof (2017, online: 2017) On the arithmetic autocorrelation of the Legendre sequence. Advances in Mathematics of Communications, Bd. 11 (1), S. 237-244.
  • Niederreiter, H. (2017, online: 2017) Recent constructions of low-discrepancy sequences. Math. Comput. Simulation, Bd. 135, S. 18-27.
  • N. Anbar, A. Bassa, P. Beelen (2017) Corrigendum to "A modular interpretation of various cubic towers'. J. Number Theory, Bd. 172, S. 416.
  • Meidl, W. (2017) A secondary construction of bent functions, octal gbent functions and their duals. Mathematics and Computers in Simulation, Bd. 143, S. 57--64.
  • T. Martinsen, W. Meidl, P. Stanica (2017, online: 2016) Generalized bent functions and their Gray images. Lecture Notes Computer Science, Bd. 10065, S. 160--173.
  • N. Anbar, P. Beelen, N. Nguyen (2017) The exact limit of some cubic towers. Contemp. Math., Bd. 686, S. 1--15.
  • N. Anbar, A. Bassa, P. Beelen (2017) A modular interpretation of various cubic towers. J. Number Theory 171 (2017), 341–357. J. Number Theory, Bd. 171, S. 341--357.
  • N. Anbar, P. Beelen, N. Nguyen (2017) A new tower with good p-rank meeting Zink's bound. Acta Arith., Bd. 177 (4), S. 347--374.
  • Merai, Laszlo (2016) The cross-correlation measure of families of finite binary sequences: Limiting distributions and minimal values. Discret Appl. Math., Bd. 214, S. 153-168.
  • Kritzer, P.; Niederreiter, H. (2016, online: 2016) Mixed orthogonal arrays, (u,m,e,s)-nets, and (u,e,s)-sequences. Discrete Mathematics, Bd. 339, S. 2199-2208.
  • L. Merai, A. Winterhof (2016, online: 2016) On the linear complexity profile of some sequences derived from elliptic curves. Designs, Codes, and Cryptography, Bd. 81, S. 259-267.
  • A. Cesmeliou glu, W. Meidl, A. Pott, (2016, online: 2016) There are infinitely many bent functions for which the dual is not bent. IEEE Trans. Inform. Theory, Bd. 62, S. 5204-5208.
  • Meidl, W. (2016, online: 2016) Generalized Rothaus construction and non-weakly regular bent functions. J. Combinat. Theory Ser. A, Bd. 141, S. 78-89.
  • A. Winterhof, O. Yayla (2016, online: 2016) Family complexity and cross-correlation measure for families of binary sequences. The Ramanujan Journal, Bd. 39 (3), S. 639-645.
  • L. Merai, A. Winterhof (2016, online: 2016) On the pseudorandomness of the Liouville function of polynomials over a finite field. Uniform Distribution Theory, Bd. 11 (1), S. 47-58.
  • Mérai, L. (2016, online: 2016) On the typical values of the cross-correlation measure. Monatshefte für Mathematik, Bd. 180, S. 83-99.
  • N. Anbar, W. Meidl, A. Topuzoglu (2016, online: 2016) Idempotent and $p$-potent quadratic functions: Distribution of nonlinearity and co-dimension. Designs, Codes and Cryptography, Bd. to appear, S. 27.
  • C. Kasikci, W. Meidl, A. Topuzoglu (2016, online: 2016) Spectra of a class of quadratic functions: average behaviour and counting functions. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences, Bd. 8 (2), S. 191-214.
  • Niederreiter, H. (2016, online: 2016) A survey of some applications of finite fields. Designs, Codes and Cryptography, Bd. 78, S. 129-139.
  • B. Hanson, B. Lund, O. Roche-Newton (2015, online: 2015) On distinct perpendicular bisectors and pinned distances in finite fields. Finite fields and their applications, Bd. 37, S. 240-264 (to appear 2016).
  • Merai, Laszlo; Yayla, Oguz (2015, online: 2015) Improving results on the pseudorandomness of sequences generated via the additive order of a finite field. Discret. Math., Bd. 338 (11), S. 2020-2025.
  • N. Anbar, W. Meidl (2015, online: 2015) More on quadratic functions and maximal Artin–Schreier curves. AAECC, Bd. 26, S. 409-426.
  • B. Murphy, O. Roche-Newton, I. Shkredov (2015, online: 2015) Variations on the sum-product problem. SIAM Journal on Discrete Mathematics, Bd. 29 (1), S. 514-540.
  • M. Gnewuch, F.Y. Kuo, H. Niederreiter, H. Wozniakowski (2015, online: 2015) Guest editors' preface Oberwolfach Workshop 1340 "Uniform Distribution Theory and Applications''. J. Complexity, Bd. 31 (3), S. vi.
  • A. Cesmelioglu, W. Meidl, A. Pott (2015, online: 2015) Bent functions, spreads, and o-polynomials. SIAM J. Discrete Math., Bd. 29 (2), S. 854-867.
  • P. Kritzer, H. Niederreiter (2015, online: 2015) Propagation rules for (u,m,e,s)-nets and (u,e,s)-sequences. Journal of Complexity, Bd. 31 (3), S. 457-473.
  • O. Raz, O. Roche-Newton, M. Sharir (2015, online: 2015) Sets with few distinct distances do not have heavy lines. Discrete Math., Bd. 338 (8), S. 1484-1492.
  • Z. Chen, A. Winterhof (2015, online: 2015) Polynomial quotients: Interpolation, value sets and Waring's problem. Acta Arithmetica, Bd. 170, S. 121-134.
  • He, J.; Panario, D.; Wang, Q.; Winterhof, A. (2015, online: 2015) Linear complexity profile and correlation measure of interleaved sequences. Cryptography and Communications, Bd. 7, S. 497-508.
  • M. Rudnev, I. Shkredov, O. Roche-Newton (2015, online: 2015) New sum-product type estimates over finite fields. Advances in Mathematics, Bd. submitted, S. 10.
  • O. Roche-Newton, I. Shparlinski (2015, online: 2015) Polynomial values in subfields and affine subspaces of finite fields. Quarterly Journal of Mathematics, Bd. 66, S. 693-706.
  • J. Cilleruelo, A. Iosevich, B. Lund, O. Roche-Newton, M. Rudnev (2015, online: 2015) Elementary methods for incidence problems in finite fields. Mathematische Zeitschrift, Bd. submitted, S. 10.
  • A. Balog, O. Roche-Newton (2015, online: 2015) New sum-product estimates for real and complex number. Discrete and Computational Geometry, Bd. 53 (4), S. 825-846.
  • Mérai, L. (2015, online: 2015) Pseudorandomness of binary sequences derived from linear recursions. Periodica Math. Hungar, Bd. 71, S. 64-77.
  • M. Madritsch, V. Ziegler (2014, online: 2014) On multiplicatively independent bases in cyclotomic number fields. Acta Math. Hungar., Bd. to appear, S. 10.
  • Z. Chen, D. Gomez-Perez, G. Pirsic (2014, online: 2014) On lattice profile of the elliptic curve linear congruential generators. Period. Math. Hungar., Bd. 68 (1), S. 1-12.
  • F. Özbudak, A. Sınak, O. Yayla (2014, online: 2014) On verification of restricted extended affine equivalence of vectorial boolean functions. Lecture Notes in Comput. Sci., Bd. to appear, S. 12.
  • M. Madritsch, V. Ziegler (2014, online: 2014) An infinite family of multiplicatively independent bases of number systems in cyclotomic number fields., Bd. to appear, S. 10.
  • L. Szalay, V. Ziegler (2014, online: 2014) S-Diophantine quadruples with S={2,q}., Bd. to appear, S. 10.
  • D. Dombek, Z. Masáková, V. Ziegler (2014, online: 2014) On distinct unit generated fields that are totally complex. J. Number Theory, Bd. 148, S. 311-227.
  • A. Bérczes, V. Ziegler (2014, online: 2014) On Simultaneous Palindromes. J. Comb. Number Theory, Bd. 6 (1), S. 10.
  • Mérai, L. (2014, online: 2014) On the elliptic curve power generator. Unif. Distrib. Theory, Bd. 9 (2), S. 59-65.
  • O. Roche-Newton, D. Zhelezov (2014, online: 2014) A bound on the multiplicative energy of a sum set and extremal sum-product problems. SMoscow Journal of Combinatorics and Number Theory, Bd. to appear, S. 10.
  • Mérai, L. (2014, online: 2014) The higher dimensional analogue of certain estimates of Roth and Sárközy, Periodica Math. Hungar. 68 (2014) 77--91. Periodica Math. Hungar., Bd. 68, S. 77-91.
  • M. Hofer, V. Ziegler (2014, online: 2014) On corner avoidance of $oldsymbol eta$-adic Halton sequences. Annali di Matematica Pura ed Applicata, Bd. to appear, S. 10.
  • R. Hofer, H. Niederreiter (2014, online: 2014) Vandermonde nets. Acta Arith., Bd. 163 (2), S. 145-160.
  • Aistleitner, Christoph; Hofer, Markus; Ziegler, Volker (2014, online: 2014) On the uniform distribution modulo 1 of multidimensional LS-sequences. Annali di Matematica Pura ed Applicata, Bd. 193, S. 1329-1344.
  • C. Frei, R. Tichy, V. Ziegler (2014, online: 2014) On sums of S-integers of bounded norm. Monatshefte für Mathematik, Bd. 175, S. 241-247.
  • Bilal Alam, Ferruh Özbudak, and Oğuz Yayla (2014, online: 2014) Classes of weak Dembowski–Ostrom polynomials for multivariate quadratic cryptosystems. Journal of Mathematical Cryptology, Bd. to appear, S. 1-13.
  • G. Larcher, M. Drmota, P. Grabner, P. Hellekalek, R. Hofer, P. Kritzer, G. Leobacher, F. Pillichshammer, R. Tichy, A. Winterhof (2014, online: 2014) The FWF-Special Research Area "Quasi-Monte Carlo Methods: Theory and Applications". Internationale Mathematische Nachrichten, Bd. 226, S. 1-19.
  • Luca, F.; Ziegler, V. (2014, online: 2014) A note on the number of $S$-Diophantine quadruples. Communications in Mathematics, Bd. 22, S. 49-55.
  • Özbudak, Ferruh; Yayla, Oğuz (2014, online: 2014) Improved probabilistic decoding of interleaved Reed-Solomon codes and folded Hermitian codes. Theoret. Comput. Sci., Bd. 520, S. 111-123.
  • Özbudak, Ferruh; Tutdere, Seher; Yayla, Oğuz (2014, online: 2014) On some bounds on the minimum distance of cyclic codes over finite fields. Designs, Codes and Cryptography, Bd. to appear, S. 1-6.
  • H. Niederreiter, C. Xing (2014, online: 2014) Sequences with high nonlinear complexity. IEEE Trans. Inform. Theory, Bd. 60 (10), S. 6696-6701.
  • Z. Chen, I. Shparlinski, A. Winterhof (2014, online: 2014) Notes on covering sets for limited magnitude errors. IEEE Trans. Inf. Theory, Bd. 60, S. 5315-5321.
  • M. Khan, R. Magner, S. Senger, A. Winterhof (2014, online: 2014) Two combinatorial geometric problems involving modular hyperbolas. INTEGERS, Bd. 14, S. #A33, 21pp.
  • Hajdu, Lajos; Ziegler, Volker (2014, online: 2014) Distinct unit generated totally complex quartic fields. Mathematics of Computation, Bd. 83 no. 283, S. 1495-1512.
  • Z. Chen, A. Winterhof (2014, online: 2014) Interpolation of Fermat quotients. SIAM J. DISCRETE MATH, Bd. 28, S. 1-7.
  • Winterhof, A. (2014, online: 2014) Generalizations of complete mappings of finite fields and some applications. Journal of symbolic computation, Bd. 64, S. 42-52.
  • G. Pirsic, A. Winterhof (2014, online: 2014) On discrete Fourier transform, ambiguity, and Hamming-autocorrelation of pseudorandom sequences. Designs Codes and Cryptography, Bd. 73, S. 319-328.
  • Özbudak, Ferruh; Gülmez Temür, Burcu; Yayla, Oğuz (2013, online: 2013) An exhaustive computer search for finding new curves with many points among fibre products of two Kummer covers over F_5 and F_7. Turkish J. Math., Bd. 37 (6), S. 908-913.
  • Szalay, Laszlo; Ziegler, Volker (2013, online: 2013) $S$-Diophantine quadruples with two primes congruent 3 modulo 4. INTEGERS, Electronic Journal of Combinatorial Number Theory, Bd. 13 A80, S. 15.
  • Luca, Florian; Ziegler, Volker; (2013, online: 2013) Multiplicative relations on binary recurrences. Acta Arithmetica, Bd. 161 no. 2, S. 183-199.
  • Szalay, L.; Ziegler, V. (2013) On an $S$-unit variant of Diophantine $m$-tuples. Publicationes Mathematicae Debrecen, Bd. 83 (1-2), S. 97--121.
  • Krenn, Daniel; Thuswaldner, Jörg; Ziegler, Volker (2013) On linear combinations of units with bounded coefficients and double-base digit expansions. Monatshefte für Mathematik, Bd. 171 (3-4), S. 377--394.
  • Bérczes, Attila; Ziegler, Volker (2013) On Geometric Progressions on Pell Equations and Lucas sequences. Glasnik Matematički, Bd. 48 (1), S. 1--22.
  • D. Gomez, R. Hofer, H. Niederreiter (2013, online: 2013) A general discrepancy bound for hybrid sequences involving Halton sequences. Uniform Distribution Theory, Bd. 8 (1), S. 31-45.
  • C. Schretter, H. Niederreiter (2013, online: 2013) A direct inversion method for non-uniform quasi-random point sequences. Monte Carlo Methods and Applications, Bd. 19 (1), S. 1-9.
  • H. Niederreiter, A. Yeo (2013, online: 2013) Halton-type sequences from global function fields. Science in China Series A - Mathematics, Bd. 56 (7), S. 1467-1476.
  • R. Hofer, H. Niederreiter (2013, online: 2013) A construction of (t,s)-sequences with finite-row generating matrices using global function fields. Finite fields and their applications, Bd. 21, S. 97-110.
  • Shparlinski, I.E.; Winterhof, A. (2013, online: 2013) Distribution of values of polynomial Fermat quotients. Finite fields and their applications, Bd. 19, S. 93-104.
  • N. Brandstätter, W. Meidl, A. Winterhof (2013, online: 2013) Addendum to Sidelnikov sequences over nonprime fields. Information Processing Letters, Bd. 113 (9), S. 332-336.
  • Niederreiter, H. (2012, online: 2012) Improved discrepancy bounds for hybrid sequences involving Halton sequences. Acta Arithmetica, Bd. 155, S. 71-84.
  • Niederreiter, H.; Shahverdian, A.Yu. (2012, online: 2012) Discrepancy estimates for rotation sequences and oscillation sequences. Asian-European Journal of Mathematics, Bd. 5 (2 Art. 1250020), S. 12.
  • M. Su, A. Winterhof (2012, online: 2012) Correlation measure of order k and linear complexity profile of Legendre-Sidelnikov sequences. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Bd. E95-A (11), S. 1851-1854.
  • Gomez D., Winterhof A. (2012) Multiplicative character sums of Fermat quotients and pseudorandom sequences. Periodica Mathematica Hungarica, Bd. 64, S. 161-168.
  • Niederreiter, H.; Vielhaber, M.; Wang, L. (2012) Improved results on the probabilistic theory of the joint linear complexity of multisequences. Science in China Series F, Bd. 55, S. 165-170.
  • Chen Z., Winterhof A. (2012) On the distribution of pseudorandom numbers and vectors derived from Euler-Fermat quotients. International Journal of Number Theory, Bd. 8, S. 631-641.
  • Winterhof, A. (2012, online: 2012) Topics related to character sums. Internationale Mathematische Nachrichten, Bd. 220, S. 1-30.
  • Niederreiter, H. (2012, online: 2012) The independence of two randomness properties of sequences over finite fields. Journal of Complexity, Bd. 28, S. 154-161.
  • Niederreiter, H. (2011, online: 2011) Discrepancy bounds for hybrid sequences involving matrix-method pseudorandom vectors. Publ. Math. Debrecen, Bd. 79 (3-4), S. 589-603.
  • N. Brandstätter, G. Pirsic, A. Winterhof (2011, online: 2011) Correlation of the two-prime Sidelnikov sequence. Designs, Codes and Cryptography, Bd. 59 (1-3), S. 59-68.
  • P. Hellekalek, H. Niederreiter (2011, online: 2011) Construction of uniformly distributed sequences using the b-adic method. Uniform Distribution Theory, Bd. 6 (1), S. 185-200.
  • Z. Chen, A. Winterhof (2011, online: 2011) Linear complexity profile of m-ary pseudorandom sequences with small correlation measure. Indagationes Mathematicae, Bd. 20 (4), S. 631-640.
  • A. Ostafe, I. Shparlinski, A. Winterhof (2011, online: 2011) Multiplicative character sums of a class of nonlinear recurrence vector sequences. International Journal of Number Theory, Bd. 7, S. 1157-1571.
  • H. Aly, A. Winterhof (2011) Boolean functions derived from Fermat quotients. Cryptography and Communications, Bd. 3 (3), S. 165-174.
  • H. Niederreiter, A. Winterhof (2011) Discrepancy bounds for hybrid sequences involving digital explicit inversive pseudorandom numbers. Uniform Distribution Theory, Bd. 6 (1), S. 33-56.
  • A. Venkateswarlu, H. Niederreiter (2010) Improved results on periodic multisequences with large error linear complexity. Finite Fields and Their Applications, Bd. 16, S. 463-476.
  • Niederreiter, H. (2010) Further discrepancy bounds and an Erdös-Turan-Koksma inequality for hybrid sequences. Monatshefte für Mathematik, Bd. 161, S. 193-222.
  • G. Pirsic, A. Winterhof (2010) On the structure of digital explicit nonlinear and inversive pseudorandom number generators. Journal of Complexity, Bd. 26 (1), S. 43-50.
  • Niederreiter, H. (2010) A discrepancy bound for hybrid sequences involving digital explicit inversive pseudorandom numbers. Uniform Distribution Theory, Bd. 5, S. 53-63.
  • R. Shaheen, A. Winterhof (2010) Permutations of finite fields for check digit systems. Designs, Codes and Cryptography, Bd. 57 (3), S. 361-371.
  • M. Su, A. Winterhof (2010) Autocorrelation of Legendre-Sidelnikov sequences. IEEE Transactions on Information Theory, Bd. 56 (4), S. 1714-1718.
  • A. Ostafe, I. Shparlinski, A. Winterhof (2010) On the generalized joint linear complexity profile of a class of nonlinear pseudorandom multisequences. Advances in Mathematics of Communication, Bd. 4 (3), S. 369-379.
  • R. Marzouk, A. Winterhof (2010) On the pseudorandomness of binary and quaternary sequences linked by the Gray mapping. Periodica Mathematica Hungarica, Bd. 60 (1), S. 1-11.
  • I. Shparlinski, A. Winterhof (2010) Partitions into two Lehmer numbers. Monatshefte für Mathematik, Bd. 160 (4), S. 429-441.
  • A. Ibeas, A. Winterhof (2010) Exponential sums and linear complexity of nonlinear pseudorandom number generators with polynomials of small p-weight degree. Uniform Distribution Theory, Bd. 5 (1), S. 79-93.
  • C. van de Woestijne, A. Winterhof (2010) Exact solutions to Waring's problem for finite fields. Acta Arithmetica, Bd. 141 (2), S. 171-190.
  • N. Brandstätter, A. Winterhof (2009) k-error linear complexity over F_p of subsequences of Sidelnikov sequences of period (p^r-1)/3. Journal of Mathematical Cryptography, Bd. 3 (3), S. 215-225.
  • Niederreiter, H. (2009) On the discrepancy of some hybrid sequences. Acta Arithmetica, Bd. 138 (4), S. 373--398.
  • F.W. Fu, H. Niederreiter, F. Özbudak (2009) Joint linear complexity of arbitrary multisequences consisting of linear recurring sequences. Finite Fields and Their Applications, Bd. 15 (4), S. 475--496.
  • S. Balasuriya, I. Shparlinski, A. Winterhof (2009) An average bound for character sums with some counter-dependent recurrence sequences. Rocky Mountain Journal of Mathematics, Bd. 39, S. 1403-1410.
  • J. Dick, H. Niederreiter (2009) Duality for digital sequences. Journal of Complexity, Bd. 25 (5), S. 406-414.
  • F.-W. Fu, H. Niederreiter, F. Özbudak (2009) Joint linear complexity of multisequences consisting of linear recurring sequences. Cryptography and Communications, Bd. 1 (1), S. 3-29.
  • H. Niederreiter, J. Rivat (2009) On the Gowers norm of pseudorandom binary sequences. Bull. Aust. Math. Soc., Bd. 79, S. 259-271.
  • A.Ibeas, A. Winterhof (2009) Noisy interpolation of multivariate sparse polynomials in finite fields. Lecture Notes in Computer Science, Bd. 5527, S. 169-178.
  • A. Sarközy, A. Winterhof (2009) Measures of pseudorandomness for binary sequences constructed using finite fields. Discrete Mathematics, Bd. 309, S. 1327-1333.
  • H. Niederreiter, F. Pillichshammer (2009) Construction algorithms for good extensible lattice rules. Constr. Approx., Bd. 30 (3).
  • Özbudak, Ferruh; Sınak, Ahmet; Yayla, Oğuz (online: 2015 On Verification of Restricted Extended Affine Equivalence of Vectorial Boolean Functions. Lecture Notes in Computer Science, Bd. 9061, S. 137-154.

Book/Monograph
  • H. Niederreiter, A. Winterhof (2015, online: 2015) Applied number theory.; Berlin: Springer.
  • P. Kritzer, H. Niederreiter, F. Pillichshammer, A. Winterhof (Eds.) (2014, online: 2014) Uniform Distribution and Quasi-Monte Carlo Methods: Discrepancy, Integration and Applications. In Reihe: Radon Series on Computational and Applied Mathematics, 15. Aufl.; Berlin: de Gruyter.
  • G. Larcher, F. Pillichshammer, A. Winterhof, C. Xing (Eds.) (2014, online: 2014) Applied Algebra and Number Theory: Essays in Honour of Harald Niederreiter (on the occasion of his 70th birthday).; Cambridge: Cambridge University Press.
  • H., Niederreiter, A. Ostafe, D. Panario, A. Winterhof (Eds.) (2014, online: 2014) Algebraic Curves and Finite Fields: Cryptography and Other Applications. In Reihe: Radon Series on Computational and Applied Mathematics, 16. Aufl.; Berlin: de Gruyter.
  • (2013, online: 2013) Finite fields and applications: Character sums and polynomials. In Reihe: Radon Series on Computational and Applied Mathematics, 11. Aufl.: de Gruyter.
  • H. Niederreiter, C. Xing (2009) Algebraic geometry in coding theory and cryptography.; Princeton: Princeton University Press.

Conference Contribution: Publication in Proceedings
  • Roche-Newton, O. (2015, online: 2015) A short proof of a near-optimal cardinality estimate for the size of a product of a sum set., Proceedings of Symposium on Computational Geometry 2015, S. to appear.
  • Yayla., O. (2014, online: 2014) Families of pseudorandom binary sequences with low cross-correlationmeasure., BalkanCryptSec 2014 pre-Proceeding.
  • Pirsic, G.; Winterhof, A. (2012, online: 2012) Boolean functions derived from pseudorandom binary sequences. In: T. Helleseth, J. Jedwab (Hrsg.), Sequences and Their Applications - SETA 2012 (SETA 2012) In Reihe: Lecture Notes Computer Science 7280: Springer, S. 101-109.
  • Chen, Z.; Winterhof, A. (2012) Additive character sums of polynomial quotients., Finite Fields and Applications, S. 67-73.
  • Ostafe, A.; Thomson, D.; Winterhof, A. (2012) On the Waring problem with multivariate Dickson polynomials., Finite fields and applications, S. 153-161.
  • M. Su, A. Winterhof (2011) Correlation of order k and linear complexity profile of Legendre-Sidelnikov sequences., IWSDA 2011, S. 1-4.
  • Winterhof, A. (2010) Recent results on recursive nonlinear pseudorandom number generators (invited paper). In: Carlet, Claude et al. (Hrsg.), Sequences and their Applications (SETA 2010) In Reihe: Lecture Notes in Computer Science 6338; Berlin: Springer, S. 113-124.
  • Niederreiter, H. (2010) The asymptotic theory of algebraic-geometry codes., Finite Fields: Theory and Applications (Fq9): American Math. Society, S. 339-348.
  • D. Gomez, A. Winterhof (2010) Waring's problem with Dickson polynomials in finite fields. In: McGuire, Gary et al. (Hrsg.), Finite fields: Theory and applications (Fq9) In Reihe: Contemporary Mathematics 518; Providence (RI): American Mathematical Society, S. 185-192.
  • Z. Chen, A. Ostafe, A. Winterhof (2010) Structure of pseudorandom numbers derived from Fermat quotients. In: Hasan, M. Anwar et al. (Hrsg.), Arithmetic of finite fields. (Third international workshop, WAIFI 2010.) In Reihe: Lecture Notes in Computer Science 6087; Berlin: Springer, S. 73-85.
  • N. Brandstätter, G. Pirsic, A. Winterhof (2009) Two-prime Sidelnikov sequences., Workshop on Coding and Cryptography, S. 389-398.
  • Z. Chen, D. Gomez, A. Winterhof (2009) Distribution of digital explicit inversive pseudorandom numbers and their binary threshold sequence. In: L'Ecuyer, Pierre et al. (Hrsg.), Monte Carlo and quasi-Monte Carlo methods 2008 (MC2QMC 2008); Berlin: Springer, S. 249-258.

Contribution in Collection
  • N. Anbar, A. Ozdak, V. Patel, L. Quoos, A. Somoza, A. Topuzoğlu (2017) On the Carlitz rank of permutation polynomials: Recent developments. In: Bouw, I., Özman, E., Johnson-Leung, J., Newton, R. (Hrsg.), Proceedings of Women in Numbers Europe 2: Springer, S. to appear.
  • R. Hofer, L. Merai, A. Winterhof (2017) Measures of pseudorandomness: Arithmetic autocorrelation and correlation measure. In: C. Elsholtz, P. Grabner (Hrsg.), Number Theory - Diophantine problems, uniform distribution and applications, Festschrift in honour of Robert F. Tichy's 60th birthday.: Springer, S. 303-312.
  • C. Schretter, Z. He, M. Gerber, N. Chopin, H. Niederreiter (2016, online: 2016) Van der Corput and golden ratio sequences along the Hilbert space-filling curve., Monte Carlo and quasi-Monte Carlo methods, 163. Aufl.: Springer, S. 531-544.
  • Niederreiter, H. (2016, online: 2016) Finite fields., Encyclopedia of Applied and Computational Mathematics; Berlin: Springer, S. 541--545.
  • R. Hofer, H. Niederreiter (2016, online: 2016) Vandermonde nets and Vandermonde sequences., Monte Carlo and quasi-Monte Carlo methods, 163. Aufl.; Cham: Springer, S. 87-105.
  • Niederreiter, H. (2015, online: 2015) Random number generation., Princeton Companion to Applied Mathematics: Princeton University Press, S. 761-762.
  • A. Çeşmelioğlu, W. Meidl (2015, online: 2015) Non weakly regular bent polynomials from vectorial quadratic functions., Topics in finite fields; Providence, RI: Amer. Math. Soc., S. 83-93.
  • R. Hofer, I. Pirsic (2014, online: 2014) Controlling the shape of generation matrices in global function field constructions of digital sequences. In: G. Larcher, F. Pillichshammer, A. Winterhof, C. Xing (Hrsg.), Applied Algebra and Number Theory: Cambridge University Press, S. 164-189.
  • G. Larcher, F. Pillichshammer, A. Winterhof, C. Xing (2014, online: 2014) Some highlights of Harald Niederreiter's work. In: G. Larcher, F. Pillichshammer, A. Winterhof, C. Xing (Hrsg.), Applied Algebra and Number Theory: Essays in Honour of Harald Niederreiter (on the occasion of his 70th birthday); Cambridge: Cambridge University Press, S. 1-18.
  • Niederreiter, H. (2013, online: 2013) Finite fields and quasirandom points. In: P. Charpin, A. Pott, A. Winterhof (Hrsg.), Finite fields and Applications: Character sums and polynomials, 11. Aufl.: de Gruyter, S. 169-196.
  • Niederreiter, H. (2013, online: 2013) Algebraic geometry codes. In: G. Mullen, D. Panario (Hrsg.), Handbook of finite fields: Chapman & Hall, S. 703-712.
  • Ostafe A. , Winterhof A. (2013) Some applications of character sums. In: G. Mullen, D. Panario (Hrsg.), Handbook of Finite Fields: Chapman & Hall, S. 170-184.
  • Niederreiter, H. (2013, online: 2013) LFSR sequences and maximal period sequences. In: G. Mullen, D. Panario (Hrsg.), Handbook of Finite Fields: Chapman & Hall, S. 311-317.
  • Rötteler, M.; Winterhof, A. (2013) Finite fields in quantum information theory. In: G. Mullen, D. Panario (Hrsg.), Handbook of Finite Fields: Chapman & Hall, S. 834-840.
  • Niederreiter, H. (2013, online: 2013) (t,m,s)-nets and (t,s)-sequences. In: G. Mullen, D. Panario (Hrsg.), Handbook of Finite Fields: Chapman & Hall, S. 619-630.
  • Meidl W., Winterhof A. (2013) Linear complexity of sequences and multisequences. In: G. Mullen, D. Panario (Hrsg.), Handbook of Finite Fields: Chapman & Hall, S. 324-336.
  • Niederreiter, H. (2012, online: 2012) Low-discrepancy simulation. In: J.-C. Duan, W.k. Härdle, J.E. Gentle (Hrsg.), Handbook of Computational Finance; Berlin: Springer, S. 703–729.
  • A. Topuzoglu, A. Winterhof (2011) Pseudorandom numbers: Uniform distribution and exponential sums. In: Boztas, S. (Hrsg.), CRC Handbook of Sequences, Codes and Applications: Chapman and Hall/CRC Press, S. to appear.
  • Winterhof, A. (2011) Measures of pseudorandomness. In: Boztas, S. (Hrsg.), CRC Handbook of Sequences, Codes and Applications: Chapman and Hall/CRC Press, S. to appear.
  • Niederreiter, H. (2010) Quasi-Monte Carlo methods. In: Cont, R. (Hrsg.), Encyclopedia of Quantitative Finance: Wiley, S. 1460-1472.
  • Winterhof, A. (2010) Linear complexity and related complexity measures. In: Woungang, I. (Hrsg.), Selected Topics in Information and Coding Theory; Singapore: World Scientific, S. 3-40.
  • Kritzer, P.; Niederreiter, H.; Pillichshammer, F. Ian Sloan and Lattice Rules. In: Dick, J.; Kuo, F.Y.; Wozniakowski, H. (Hrsg.), Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan: Springer, S. To appear.

Dissertation
  • Hofer, R. (2017) New Bounds on Some Measures of Pseudorandomness. Doktorarbeit, RICAM, JKU Linz, Linz.

Editorship
  • G. Leobacher, E. Buckwar, P. Kritzer, F. Pillichshammer, A. Winterhof (Hrsg.) (2018, online: 2017) Mathematics and computers in simulation: Special issue 10th IMACS seminar on Monte Carlo methods., 143. Aufl.
  • K.-U. Schmidt, A. Winterhof (Hrsg.) (2014, online: 2014) Sequences and Their Applications SETA 2014. In Reihe: Lecture Notes Computer Science, 8865. Aufl.: Springer.