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MATHEMATIK

Linear codes and incidence structures of bent functions and their generalizations
In: Discrete mathematics - Amsterdam [u.a.]: Elsevier, Bd. 346 (2023), 1

Vectorial Boolean functions with the maximum number of bent components beyond the Nybergs bound
In: Designs, codes and cryptography - Dordrecht [u.a.]: Springer Science + Business Media B.V . - 2023, insges. 22 S.

A new transformation for costas arrays
In: 2022 10th International Workshop on Signal Design and its Applications in Communications (IWSDA)/ International Workshop on Signal Design and Its Applications in Communications - [Piscataway, NJ]: IEEE . - 2022, insges. 5 S.

Ethnic comparison in takotsubo syndrome - novel insights from the International Takotsubo Registry
In: Clinical research in cardiology - Berlin : Springer, Bd. 111 (2022), Heft 2, S. 186-196, insges. 11 S.

Preface to the special issue on ArasuFest
In: Journal of algebraic combinatorics - Dordrecht [u.a.]: Springer Science + Business Media B.V., Bd. 55 (2022), 1, insges. 3 S.

Correction to: Cubic bent functions outside the completed Maiorana-McFarland class
In: Designs, codes and cryptography - Dordrecht [u.a.]: Springer Science + Business Media B.V, Bd. 89 (2021), 6, S. 13651366

On the intersection distribution of degree three polynomials and related topics
In: The electronic journal of combinatorics - [Madralin]: EMIS ELibEMS, Bd. 28 (2021), 2, insges. 25 S.

On design-theoretic aspects of Boolean and vectorial bent function
In: IEEE transactions on information theory: a journal devoted to the theoretical and experimental aspects of information transmission, processing, and utilization ; a publication of the IEEE Information Theory Society/ Institute of Electrical and Electronics Engineers - Piscataway, NJ: IEEE, Bd. 67 (2021), 2, S. 1027-1037

Boolean and vectorial functions - a design-theoretic point of view
In: Magdeburg, Dissertation Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik 2021, xviii, 152 Seiten [Literaturverzeichnis: Seite 135-144]

Equivalence problems of almost perfect nonlinear functions and disjoint difference families
In: Magdeburg, Dissertation Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik 2021, vii, 141 Seiten [Literaturverzeichnis: Seite 133-140]

On solving isomorphism problems about 2-designs using block intersection numbers
In: Finite Fields and their Applications: Proceedings of the 14th International Conference on Finite Fields and their Applications, Vancouver, June 3-7, 2019 - Berlin: De Gruyter; Davis, James A . - 2020, S. 51-70

Vanishing flats - a combinatorial viewpoint on the planarity of functions and their application
In: IEEE transactions on information theory: a journal devoted to the theoretical and experimental aspects of information transmission, processing, and utilization ; a publication of the IEEE Information Theory Society/ Institute of Electrical and Electronics Engineers - Piscataway, NJ: IEEE, Bd. 66 (2020), 11, S. 7101-7112

Vectorial bent functions in odd characteristic and their components
In: Cryptography and communications: discrete structures, boolean functions and sequences - New York, NY: Springer . - 2020[Online first]

Editorial: Coding and cryptography 2019
In: Designs, codes and cryptography - Dordrecht [u.a.]: Springer Science + Business Media B.V, Bd. 88 (2020), 9, S. 1699

Intersection distribution, non-hitting index and Kakeya sets in affine planes
In: Finite fields and their applications - Orlando, Fla. [u.a.]: Elsevier, Volume 66(2020), article 101691

A direct construction of primitive formally dual pairs having subsets with unequal sizes
In: Cryptography and communications: discrete structures, boolean functions and sequences - New York, NY: Springer, Bd. 12.2020, S. 469-483

Cubic bent functions outside the completed Maiorana-McFarland class
In: Designs, codes and cryptography - Dordrecht [u.a.]: Springer Science + Business Media B.V, Bd. 88 (2020), 9, S. 1701-1722

Determining the cycle structure of permutation polynomials of shape X t + γTr (X k)
In: Magdeburg, 2020, V, 94 Seiten, Formeln, Tabellen, 30 cm

A survey on bent functions and their duals
In: Combinatorics and Finite Fields - Berlin: De Gruyter, 2019; Schmidt, Kai-Uwe . - 2019, S. 39-56 - (Radon Series on Computational and Applied Mathematics; Volume 23)

Preface to the special issue on finite geometries
In: Designs, codes and cryptography - Dordrecht [u.a.]: Springer Science + Business Media B.V, 1991, Bd. 87.2019, 4, S. 715-716

Equivalence for negabent functions and their relative difference sets
In: Discrete applied mathematics - [S.l.]: Elsevier, Bd. 270 (2019), S. 1-12

Constructions of primitive formally dual pairs having subsets with unequal sizes
In: Journal of combinatorial designs - New York, NY: Wiley, Bd. 27 (2019), 12, S. 703-733

Solving isomorphism problems about 2designs from disjoint difference families
In: Journal of combinatorial designs - New York, NY: Wiley, Bd. 27 (2019), 5, S. 277-294

Generalized bent functions into Z pk [kappa] from the partial spread and the Maiorana-McFarland class
In: Cryptography and communications - New York, NY: Springer, 2009, Bd. 11.2019, 8, S. 1233-1245

Clinical predictors and prognostic impact of recovery of wall motion abnormalities in takotsubo syndrome - results from the International Takotsubo Registry
In: Journal of the American Heart Association: JAHA/ American Heart Association - New York, NY: Association, 2012, 8(2019,21) Artikel-Nummer e011194, 11 Seiten[Gesehen am 07.02.2020]

Formal duality in finite abelian groups
In: Journal of combinatorial theory / A - Amsterdam [u.a.]: Elsevier, 1971, Bd. 162.2019, S. 354-405

Special issue: Finite geometries
In: New York: Springer, 2019 - (Designs, codes and cryptography; volume 87, numbers 4)

On symmetry and differential properties of generalized boolean functions
In: Arithmetic of Finite Fields: 7th International Workshop, WAIFI 2018, Bergen, Norway, June 14-16, 2018, Revised Selected Papers - Cham: Springer International Publishing, 2018 . - 2018, S. 207-223 - (Theoretical Computer Science and General Issues; 11321)[Workshop: 7th International Workshop, WAIFI 2018, Bergen, Norway, June 14-16, 2018]

Vectorial bent functions and their duals
In: Linear algebra and its applications: LAA - New York, NY: American Elsevier Publ., 1968, Bd. 548.2018, S. 305-320

On the maximum number of bent components of vectorial functions
In: IEEE transactions on information theory: a journal devoted to the theoretical and experimental aspects of information transmission, processing, and utilization ; a publication of the IEEE Information Theory Society/ Institute of Electrical and Electronics Engineers - Piscataway, NJ: IEEE, 1963, Bd. 64.2018, 1, S. 403-411

Contributions to the theory of almost perfect nonlinear functions
In: Magdeburg, 2018, ix, 138 Seiten, Illustrationen

Cayley graphs of diameter two from difference sets
In: Journal of graph theory - New York, NY [u.a.]: Wiley, Bd. 85.2017, 2, S. 533-544

There are infinitely many bent functions for which the dual is not bent
In: IEEE transactions on information theory : a journal devoted to the theoretical and experimental aspects of information transmission, processing, and utilization ; a publication of the IEEE Information Theory Society. - Piscataway, NJ : IEEE, Bd. 62.2016, 9, S. 5204-5208

Almost perfect and planar functions
In: Designs, codes and cryptography: an international journal - Dordrecht [u.a.]: Springer Science + Business Media B.V, 1991, Bd. 78.2016, 1, S. 141-195

Pairs of quadratic forms over finite fields
In: The electronic journal of combinatorics - [Madralin]: EMIS ELibEMS, 1994, Vol. 23.2016, 2, Art. P2.8, insgesamt 13 S.

On the characterization of a semi-multiplicative analogue of planar functions over finite fields
In: Topics in finite fields - 11th International Conference on Finite Fields and Their Applications, July 22 - 26, 2013, Magdeburg, Germany: 11th International Conference on Finite Fields and Their Applications, July 22 - 26, 2013, Magdeburg, Germany - Providence, RI: American Mathematical Society, 2015 . - 2015, S. 317 - 326 - (Contemporary mathematics; 632)Kongress: International Conference on Finite Fields and Applications 11th (Magdeburg, Germany : 2013.07.22-26)

Some results on difference balanced functions
In: Arithmetic of Finite Fields / Koç , Çetin Kaya - Cham [u.a.] : Springer ; Koç, Çetin Kaya . - 2015, S. 111-120 - (Lecture Notes in Computer Science; 9061)

Bent functions, spreads, and o-polynomials
In: SIAM journal on discrete mathematics/ Society for Industrial and Applied Mathematics - Philadelphia, Pa.: Soc., 1988, Bd. 29.2015, 2, S. 854-867

Skew hadamard difference sets from Dickson polynomials of Order 7
In: Journal of combinatorial designs - New York, NY: Wiley, 1993, Bd. 23.2015, 10, S. 436-461

Difference balanced functions and their generalized difference sets
In: Journal of combinatorial theory / A - Amsterdam [u.a.]: Elsevier, 1971, Bd. 131.2015, S. 61-70

Topics in finite fields - 11th International Conference on Finite Fields and Their Applications, July 22 - 26, 2013, Magdeburg, Germany
In: Providence, RI: American Mathematical Society, 2015, XI, 371 S., graph. Darst. - (Contemporary mathematics; 632)Kongress: International Conference on Finite Fields and Applications 11 (Magdeburg, Germany : 2013.07.22-26)

Semifields, relative difference sets, and bent functions
In: Algebraic curves and finite fields: cryptography and other applications - Berlin [u.a.]: de Gruyter, 2014 . - 2014, S. 161-178

Uniqueness of F q-quadratic perfect nonlinear maps from F q 3 to F q 2
In: Finite fields and their applications - Orlando, Fla. [u.a.]: Elsevier, 1995, Bd. 29.2014, S. 49-88

Constructions of almost difference sets from finite fields
In: Designs, codes and cryptography: an international journal - Dordrecht [u.a.]: Springer Science + Business Media B.V, 1991, Bd. 72.2014, 3, S. 581-592

Low autocorrelation sequences and flat polynomials
In: Magdeburg, Univ., Fak. für Mathematik, Habil.-Schr., 2014, VIII, 162 S.

Generalized MaioranaMcFarland class and normality of p-ary bent functions
In: Finite fields and their applications. - Orlando, Fla. [u.a.] : Elsevier, Bd. 24.2013, S. 105-117

CCZ and EA equivalence between mappings over finite Abelian groups
In: Designs, codes and cryptography. - Dordrecht [u.a.] : Springer Science + Business Media B.V, Bd. 66.2013, 1, S. 99-109

A new family of semifields with 2 parameters
In: Advances in mathematics. - Amsterdam [u.a.] : Elsevier, Bd. 234.2013, S. 43-60

On the dual of (non)-weakly regular bent functions and self-dual bent functions
In: Advances in mathematics of communications. - Springfield, M : AIMS, Bd. 7.2013, 4, S. 425-440

A note on a conjecture for balanced elementary symmetric boolean functions
In: IEEE transactions on information theory. - Piscataway, NJ : IEEE, Bd. 59.2013, 1, S. 665-671

Characterization of negabent functions and construction of bent-negabent functions with maximum algebraic degree
In: IEEE transactions on information theory. - Piscataway, NJ : IEEE, Bd. 59.2013, 6, S. 3387 - 3395

Difference sets from projective planes
In: Magdeburg, Univ., Fak. für Mathematik, Diss., 2013, IV, 149 S., graph. Darst.

Sequences and functions derived from projective planes and their difference sets
In: Arithmetic of finite fields. - Berlin [u.a.] : Springer, S. 64-80, 2012 - (Lecture notes in computer science; 7369)Kongress: WAIFI; 4 (Bochum) : 2012.07.16-19

Some planar maps and related function fields
In: Arithmetic, geometry, cryptography and coding theory. - Providence, RI : American Math. Soc., 2012 - (Contemporary mathematics; 574)Kongress: International Conference on Arithmetic, Geometry, Cryptography and Coding Theory; 13 (Marseille, France) : 2011.03.14-18

CCZ and EA equivalence between mappings over finite abelian groups
In: WCC 2011: seventh international workshop on coding and cryptography, April 11-15, 2011, Paris, France ; proceedings - INRIA, S. 121-130

Association schemes arising from bent functions
In: Designs, codes and cryptography: an international journal - Boston, Mass. [u.a.]: Kluwer, Bd. 59.2011, 1/3, S. 319-331[Special Issue: Coding and Cryptography]

Non-Boolean almost perfect nonlinear functions on non-Abelian groups
In: International journal of foundations of computer science - Singapore [u.a.]: World Scient, Bd. 22.2011, 6, S. 1351-1367

A character theoretic approach to planar functions
In: Cryptography and communications: discrete structures, boolean functions and sequences - New York, NY: Springer, Bd. 3.2011, 4, S. 293-300[Special Issue: Jacques Wolfmann]

Optimal mappings of finite fields
In: Magdeburg, Univ., Fak. für Mathematik, Kumulative Habil.-Schr., 2010, Getr. Zählung, graph. Darst., 30 cm

Sequences and their applications - SETA 2010 - 6th international conference, Paris, France, September 13-17, 2010 ; proceedings
In: Berlin [u.a.]: Springer, 2010; X, 463 S. - (Lecture notes in computer science; 6338)Kongress: SETA; 6 (Paris) : 2010.09.13-17

Sequences and their applications -- SETA 2010 - 6th International Conference, Paris, France, September 13 - 17, 2010; proceedings
In: Heidelberg [u.a.]: Springer, 2010, X, 463S., graph. Darst. - (Lecture Notes in Computer Science; Theoretical Computer Science and General Issues; 6338)Kongress: SETA 6 (Paris : 2010.09.13-17)

Almost perfect and perfect nonlinear functions - differences and similarities
In: The 27th Symposium Algebraic Combinatorics . - Kochi : Univ., S. 112-117, 2010Kongress: Algebraic Combinatorics Symposium; 27 (Kochi) : 2010.06.21-23

Strongly regular graphs associated with ternary bent functions
In: Journal of combinatorial theory . - Orlando [u.a.] : Elsevier, Bd. 117.2010, 6, S. 668-682

Switching construction of planar functions on finite fields
In: Arithmetic of finite fields . - Berlin [u.a.] : Springer, ISBN 3-642-13796-2, S. 135-150; Lecture notes in computer science; 6087Kongress: WAIFI; 3 (Istanbul) : 2010.06.27-30

On the equivalence of nonlinear functions
In: NATO Advanced Research Workshop on Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes <2008, Veliko Turnovo, Bulgaria>: Enhancing cryptographic primitives with techniques from error correcting codes . - Amsterdam : IOS, ISBN 978-1-607-50002-5, S. 87-103; NATO Science for Peace and Security Series - D: Information and Communication Security; 23Kongress: NATO Advanced Research Workshop on Enhancing Crytographic Primitives with Techniques from Error Correcting Codes; (Veliko Tarnovo, Bulgaria) : 2008.10.06-09

Association schemes arising from Bent functions
In: The International Workshop on Coding and Cryptography, WCC'2009 . - Bergen, ISBN 978-82-92610-09-1, S. 48-61Kongress: WCC; (Ullensvang, Norwegen) : 2009.05.10-15

"Alles was zählt!" - der mathematische Blick
In: Magdeburg: Univ., Fak. für Mathematik, 2009, Getr. Zählung, Ill., 29 cm - (Technical Report; Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg; 2009,2)

A new almost perfect nonlinear function which is not quadratic
In: Advances in mathematics of communications . - Springfield, Mo. : AIMS, Bd. 3.2009, 1, S. 59-81

On differential uniformity and nonlinearity of functions
In: Discrete mathematics . - Amsterdam : North-Holland Publ. Co., ISSN 0012-365x, Bd. 309.2009, 2, S. 371-384

Perfect binary sequences of even period
In: Journal of statistics and applications . - New Delhi : MD Publications PVT Ltd., Bd. 4.2009, 2/3, S. 169-178

Consequences of the multiplier conjecture to the existence of hadamard difference sets
In: Journal of combinatorics, information & system sciences . - Delhi : Forum, Bd. 34.2009, S. 223-231

On designs and multiplier groups constructed from almost perfect nonlinear functions
In: Cryptography and coding . - Berlin [u.a.] : Springer, ISBN 3-642-10867-9, S. 383-401; Lecture Notes in Computer Science, 2009Kongress: IMACC 2009; 12 (Cirencester) : 2009.12.15-17

On a familiy of perfect nonlinear binomials
In: Boolean functions in cryptology and information security - Amsterdam: IOS Press; Preneel, Bart . - 2008, S. 126-138

Almost perfect nonlinear functions - a possible geometric approach
In: Coding Theory and Cryptography II: September 21, 2007 - Brussel: KVAB, 2008 . - 2008, S. 75-100Kongress: Contactforum Coding Theory and Cryptography 2 (Brussel : 2007.09.21)

Predigt beim Akademischen Gottesdienst am 15. Januar 2006 in der Wallonerkirche zu Magdeburg
In: Predigten der Magdeburger Akademischen Gottesdienste 2001 bis 2007 . - Magdeburg : Univ., Evangel. Hochschulpfarramt, S. 203-212, 2008

Sequences and their applications - SETA 2008 - 5th international conference, Lexington, KY, USA, September 14-18, 2008 ; proceedings
In: Heidelberg [u.a.]: Springer, 2008, XII, 419 S., graph. Darst., 235 mm x 155 mm - (Lecture notes in computer science; 5203)Kongress: SETA 5 (Lexington, KY : 2008.09.14-18)

Designs, codes and cryptography
In: Designs, codes and cryptography: an international journal - Boston, Mass. [u.a.]: Kluwer, 1991, Bd. 47.2008, 1/3, S. 225-235

Two applications of relative difference sets - difference triangles and negaperiodic autocorrelation functions
In: Discrete mathematics - Amsterdam [u.a.]: Elsevier, 1971, Bd. 308.2008, 13, S. 2854-2861

Results on the crosscorrelation and autocorrelation of sequences
In: Sequences and their applications - SETA 2008 - 5th international conference, Lexington, KY, USA, September 14-18, 2008 ; proceedings: 5th international conference, Lexington, KY, USA, September 14-18, 2008 ; proceedings - Berlin [u.a.]: Springer, 2008 . - 2008, S. 95-105 - (Lecture notes in computer science; 5203)Kongress: SETA 5 (Lexington, KY : 2008.09.14-18)

Negabent function in the Maiorana-McFarland class
In: Sequences and their applications - SETA 2008 - 5th international conference, Lexington, KY, USA, September 14-18, 2008 ; proceedings: 5th international conference, Lexington, KY, USA, September 14-18, 2008 ; proceedings - Berlin [u.a.]: Springer, 2008 . - 2008, S. 390-402 - (Lecture notes in computer science; 5203)Kongress: SETA 5 (Lexington, KY : 2008.09.14-18)

Some theorems on planar mappings
In: Arithmetic of finite fields . - Berlin [u.a.] : Springer, ISBN 3-540-69498-6, S. 117-122; Lecture notes in computer science; 5130Kongress: WAIFI; 2 (Siena) : 2008.07.06-09

Difference sets
In: Handbook of combinatorial designs / ed. by Charles J. Colbourn ... - Boca Raton, Fla. [u.a.]: Chapman & Hall/CRC . - 2007, S. 419-437

On boolean functions which are bent and negabent
In: Sequences, subsequences, and consequences: international workshop, SSC 2007, Los Angeles, CA, USA, May 31 - June 2, 2007 ; revised invited papers / Solomon W. Golomb; Guang Gong; Tor Helleseth; Hong-Yeop Song (eds.): international workshop, SSC 2007, Los Angeles, CA, USA, May 31 - June 2, 2007 ; revised invited papers - Berlin [u.a.]: Springer, 2007 . - 2007, S. 9-23 - (Lecture notes in computer science; 4893)

A new APN function which is not equivalent to a power mapping
In: Institute of Electrical and Electronics Engineers : IEEE transactions on information theory . - Piscataway, NJ : IEEE, Bd. 52.2006, 2, S. 744-747; Abstract

On abelian (22m+1(2m-1+1),2m(2m+1),2m)-difference sets
In: Journal of combinatorial theory . - Orlando, Fla. : Academic Press, Bd. 113.2006, 6, S. 1120-1137; Abstract

New classes of almost bent and almost perfect nonlinear polynomials
In: Institute of Electrical and Electronics Engineers : IEEE transactions on information theory . - Piscataway, NJ : IEEE, Bd. 52.2006, 3, S. 1141-1152; Abstract

New constructions of almost bent and almost perfect nonlinear polynomials.
In: Charpin, Pascale (Hrsg.) ; Ytrehus, Oyvind (Hrsg.): Coding and cryptography, WCC '2005 (international workshop Bergen, Norway, March 14 - 18, 2005). - proceedings. Paris, 2005, S. 306 - 315

Group algebras and correlation immune functions.
In: Helleseth, Tor (Hrsg.) ; Sarwate, Dilip (Hrsg.) ; ... (Hrsg.): Sequences and their applicaitons, SETA 2004 (Third international conference, Seoul, Korea, October, 24 - 28, 2004). - revised selected papers. Berlin : Springer, 2005, S. 437 - 450 (Lecture notes in computer science 3486)

Nonlinear functions in abelian groups and relative difference sets.
In: Discrete applied mathematics : DAM [Amsterdam] 138(2004), S. 177 - 193

Optimization problems in a semi-automatic device for cutting leather.
In: Jäger, Willi (Hrsg.) ; Krebs, Hans-Joachim (Hrsg.): Mathematics key technology for the future : joint projects between universities and industry. Berlin : Springer, 2003, S. 609 - 622

APN function in odd characteristic.
In: Discrete mathematics [Berlin] 267(2003), S. 95 - 112

On the linear complexity of the Sidelnikov-Lempel-Cohn-Eastman sequences.
In: Designs, codes and cryptography [Boston] 29(2003), S. 149 - 164

A nonexistence result on negacirculant conference matrices.
In: Congressus numerantium [Winnipeg] 150(2001), S. 199 - 210

Hadamard and conference matrices.
In: Journal of algebraic combinatorics [Hingham, Mass.] 14(2001), Nr. 2, S. 103 - 117

The Hamiltonian p-median problem.
In: The electronic journal of combinatorics [Madralin] 7(2000), R 42, [25 S.] Unter URL: