Isomorphisms and Automorphisms of Extensions of Bilinear Dimensional Dual Hyperovals and Quadratic APN Functions, (coauthor Ulrich Dempwolff), J. Group Theory, 19, No. 2, (2016), 249-322.
The structure of quaternary quantum caps, (coauthors J. Bierbrauer, D. Bartoli, G. Faina, S. Marcugini, F. Pambianco), Designs, Codes and Cryptography, 72, No. 3 (2014), 733-747.
Dimensional Dual Hyperovals and APN Functions with Translation Groups, (coauthor Ulrich Dempwolff). Journal of Algebraic Combinatorics, 39, No. 2 (2014), 457-496.
Quadratic APN functions as subspaces of alternating bilinear forms. Proceedings of the Contact Forum Coding Theory and Cryptography III at The Royal Flemish Academy of Belgium for Science and the Arts 2009, (2011), 11-24.
Large caps in projective Galois spaces, (coauthor Jürgen Bierbrauer). Chapter in Current research topics in Galois geometry Nova Science Publishers, Inc. Jan De Beule and Leo Storme Eds. (2012) 87-104.
On some Representations of Quadratic APN Functions and Dimensional Dual Hyperovals. RIMS Kôkyûroku, 1687 (2010), 118-130.
On Multiple Caps in Finite Projective Spaces, (coauthor I. Landjev) Designs, Codes and Cryptography, 56 No. 2-3 (2010), 163-175.
On designs and multiplier groups constructed from Almost Perfect Nonlinear functions, (coauthor A. Pott). In Cryptography and Coding -- Twelfth IMA International Conference, IMACC 2009 (M. G. Parker, ed.), LNCS 5921 (2009), 383-401.
On quadratic APN functions and dimensional dual hyperovals, Designs, Codes and Cryptography, 57 No. 1 (2010), 35-44.
On the equivalence of nonlinear functions, (coauthor A. Pott), Proceedings of the NATO ARW on "Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes" B. Preneel et al. (Eds.), IOS Press books, 2009.
A new almost perfect nonlinear function which is not quadratic, (coauthor A. Pott), Advances in Mathematics of Communications 3 No. 1 (2009), 59-81.
Short additive quaternary codes, (coauthors Jürgen Bierbrauer, Giorgio Faina, Stefano Marcugini and Fernanda Pambianco), IEEE Transactions on Information Theory, 55 (2009) 952-954.
A Coding Theoretic Approach to Building Nets with Well-Equidistributed Projections, (coauthor Pierre L'Ecuyer), Monte Carlo and Quasi-Monte Carlo Methods 2006, Springer-Verlag, (2008), 313-325.
Sequences in Abelian Groups G of Odd Order without Zero-Sum Subsequences of Length exp(G), Designs, Codes and Cryptography, 47 (2008), 125-134.
Zero-sum problems in finite abelian groups and affine caps, (coauthors C. Elsholtz, A. Geroldinger, S. Kubertin and L. Rackham), Quarterly Journal of Mathematics, 58 (2007), 159-186.
A new APN function which is not equivalent to a power mapping, (coauthors G. Kyureghyan and A. Pott), IEEE Transactions on Information Theory, 52 (2) (2006), 744-747.
Families of nets of low and medium strength, (coauthor Jürgen Bierbrauer), Integers: Electronic Journal of Combinatorial Number Theory, 5(3) (2005).
A Family of Binary (t ,m, s)-Nets of Strength 5, (coauthor Jürgen Bierbrauer), Designs, Codes and Cryptography, 37 (2005), 211-214.
New upper bounds for the sizes of caps in PG(N,5) and PG(N,7), coauthors L. Storme and P. Sziklai), Journal of Combinatorial Mathematics and Combinatorial Computing, 60 (2007), 7-32.
Caps of order 3q2 in affine 4-space in characteristic 2, (coauthor Jürgen Bierbrauer) Finite Fields and Their Applications, 10 (2004), 168-182.
On complete caps in the projective geometries over F3 II: New improvements, (coauthors J. Barát, R. Hill and L. Storme). Journal of Combinatorial Mathematics and Combinatorial Computing, 49 (2004) 9-31.
Extensions of generalized product caps, Designs, Codes and Cryptography, 31 (2004), 5-14.
The largest cap in AG(4,4) and its uniqueness, (coauthor Jürgen Bierbrauer) Designs, Codes and Cryptography 29 (2003), 99-104 (proceedings of Finite Geometries, Oberwolfach 2001).
Coding-theoretic constructions for (t,m,s)-nets and ordered orthogonal arrays, (coauthors Jürgen Bierbrauer and Wolfgang Ch.Schmid) Journal of Combinatorial Designs, 10 (2002), 403-418.
The classification of the largest caps in AG(5,3), (coauthors S. Ferret, I. Landjev and L. Storme) Journal of Combinatorial Theory A, 99 (2002), 95-110.
Bounds on affine caps, (coauthor Jürgen Bierbrauer) Journal of Combinatorial Designs, 10 (2002), 111-115
Large caps in small spaces, (coauthor Jürgen Bierbrauer) Designs, Codes and Cryptography, 23 (2001), 197-212
Families of ternary (t,m,s)-nets related to BCH-codes, (coauthor Jürgen Bierbrauer) Monatshefte für Mathematik, 132 (2001), 99-103.
Caps on classical varieties and their projections, (coauthors Jürgen Bierbrauer, Antonio Cossidente) European Journal of Combinatorics, 22 (2001), 135--143.
Quantum twisted codes, (coauthor Jürgen Bierbrauer) Journal of Combinatorial Designs, 8 (2000), 174-188.
A family of caps in projective 4-space in odd characteristic, (coauthor Jürgen Bierbrauer) Finite Fields and Their Applications, 6 (2000), 283-293.
Dense sphere packings from new codes, (coauthor Jürgen Bierbrauer) Journal of Algebraic Combinatorics, 11 (2000), 95-100.
New codes via the lengthening of BCH codes with UEP codes, (coauthors Jürgen Bierbrauer, Ludo Tolhuizen) Finite Fields and their Applications., 5, 4, (1999), 345-353.
41 is the largest size of a cap in PG(4,4), (coauthor Jürgen Bierbrauer) Designs, Codes and Cryptography 16(1999), 151-160.
A family of caps in projective 4-space in characteristic 2, (coauthor Jürgen Bierbrauer) Congressus Numerantium, Proceedings of the Southeastern Conference 141 (1999),191-202.
Recursive constructions for large caps, (coauthor Jürgen Bierbrauer) Bulletin of the Belgian Mathematical Society - Simon Stevin 6(1999) 249-258.
Some codes related to BCH-codes of low dimension, (coauthor Jürgen Bierbrauer) Discrete Mathematics 205 (1999), 57-64.
reprinted in the special volume Discrete Mathematics, Editors' Choice, Edition 1999.
Halving PSL2(q), (coauthor Jürgen Bierbrauer) Journal of Geometry 64 (1999), 51-54.
On Kissing Numbers in Dimensions 32 to 128, (coauthors E.M. Rains, N.J.A. Sloane) Electronic Journal of Combinatorics, 5(1) (1998) R22.
Inverting construction Y1, (coauthor Jürgen Bierbrauer) IEEE Transactions on Information Theory 44 (1998), 1993.
Construction of digital nets from BCH-Codes, (coauthor Jürgen Bierbrauer) Proceedings of Monte Carlo and Quasi-Monte Carlo Methods, Salzburg 1996, Lecture Notes in Statistics 127 (1997), 221 - 231.
A family of 2-weight codes related to BCH-codes, (coauthor Jürgen Bierbrauer) Journal of Combinatorial Designs 5, 5 (1997) 391-396.
Twisted BCH-codes, (coauthor Jürgen Bierbrauer) Journal of Combinatorial Designs 5, 5 (1997) 377-389.
Lengthening and the Gilbert-Varshamov bound, (coauthor Jürgen Bierbrauer) IEEE Transactions on Information Theory 43 (1997), 991-992.
Extending and lengthening BCH-codes, (coauthor Jürgen Bierbrauer) Finite Fields and their Applications 3 (1997), 314-333.
New code parameters from Reed-Solomon subfield codes, (coauthor Jürgen Bierbrauer) IEEE Transactions on Information Theory 43 (1997), 953-968.
Some t-homogeneous sets of permutations, (coauthors Jürgen Bierbrauer, Stephen Black) Designs, Codes and Cryptography 9 (1996) 29-38.
Theory of perpendicular arrays,(coauthor Jürgen Bierbrauer) Journal of Combinatorial Designs 2, 6 (1994) 375-406.
My Diplomarbeit (master thesis) (1994) and my Dissertation (Ph.D. thesis) (1996).
| home |