Publications of Bernhard Schmidt
Books

Characters and Cyclotomic Fields in Finite Geometry.
Lecture Notes in Mathematics 1797, Springer 2002.

Differenzmengen und relative Differenzmengen.
Doctoral dissertation. Verlag Dr. Wissner, Augsburg 1995.
Papers

Bilinear Forms on Finite Abelian Groups and Group Invariant Butson Matrices.
Submitted
(with T. D. Duc).

Nonexistence Results on Generalized Bent Functions
(Z_{ q }) ^{ m } > Z_{q}
with Odd m and q = 2 mod 4.
Submitted
(with K. H. Leung).

Structure of Group Invariant Weighing Matrices of Small Weight.
J. Comb. Theory Ser. A
154 (2018), 114128
(with K. H. Leung).

Unique Differences in Symmetric Subsets of F_{p}.
Combinatorica
37 (2017), 167182
(with T. D. Duc).

A Survey of the Multiplier Conjecture.
Des. Codes Cryptogr.
78 (2016), 221236
(with D. M. Gordon).

The AntiFieldDescent Method.
J. Comb. Theory Ser. A
139 (2016), 87131
(with K. H. Leung).

A Multiplier Theorem.
J. Comb. Theory Ser. A
124 (2014), 228243
(with K. H. Leung and S. L. Ma).

Hadamard Difference Sets Related to Lander's Conjecture.
J. Algebra
403 (2014), 2947
(with T. Feng, K. H. Leung, and K. W. Smith).

Construction of Relative Difference Sets and
Hadamard Groups.
Des. Codes Cryptogr. 73
(2014), 105119
(with M. M. Tan).

Circulant Weighing Matrices Whose Order and Weight are
Products of Powers of 2 and 3.
J. Comb. Theory Ser. A
120 (2013), 274287
(with K. W. Smith).

New Restrictions on Possible Orders of Circulant Hadamard Matrices.
Des. Codes Cryptogr.
64 (2012), 143151
(with K. H. Leung).

Finiteness of Circulant Weighing Matrices of Fixed Weight.
J. Comb. Theory Ser. A
118 (2011), 908919
(with K. H. Leung).

On Lander's conjecture for Difference Sets whose
Order is a Power of 2 or 3.
Des. Codes Cryptogr.
56 (2010), 7984
(with K. H. Leung and S. L. Ma).

Fast Computation of Gauss Sums and Resolution of the
Root of Unity Ambiguity.
Acta Arith.
140 (2009), 205232
(with D. K. Nguyen).

Uniqueness of Some Cyclic Projective Planes.
Des. Codes Cryptogr.
50 (2009), 253266
(with Y. Huang).

Proper partial geometries with Singer groups
and
pseudogeometric partial difference sets.
J. Combin. Theory A
115 (2008), 147177
(with K. H. Leung and S. L. Ma).

Finite Fourier Series and Ovals in PG(2,2^{h}).
J. Aust. Math. Soc.
81 (2006), 2134
(with C. J. Fisher).

New Hadamard Matrices of Order 4p^{2} obtained from
Jacobi Sums of Order 16.
J. Combin. Theory Ser. A
(2006), 822838
(with K. H. Leung and S. L. Ma).

The Field Descent Method.
Des. Codes Cryptogr.
36 (2005), 171188
(with K. H. Leung).

The field descent and class groups of CMfields.
Acta Arith. 119 (2005), 291306.

Nonexistence of abelian difference sets:
Lander's conjecture for prime power orders.
Trans. Amer. Math. Soc.
356 (2004), 43434358
(with K. H. Leung and S. L. Ma).

Constructions of Relative Difference Sets with Classical Parameters and
Circulant Weighing Matrices.
J. Combin. Theory Ser. A
99 (2002), 111127
(with K. H. Leung and S. L. Ma).

Asymptotic nonexistence of difference sets in dihedral groups.
J. Combin. Theory Ser. A
99 (2002), 261280 (with K. H. Leung).

Proof of the prime power conjecture for projective
planes of order n with abelian collineation groups of order n^{2}.
Proc. Amer. Math. Soc. 130 (2002), 14731476
(with A. Blokhuis und D. Jungnickel).

All TwoWeight Irreducible Cyclic Codes?
Finite Fields Appl. 8 (2002), 117
(with C. White).

Bijections between Group Rings Preserving Character Sums.
Des. Codes Cryptogr. 24 (2001), 243254
(with M. Hagita).

Exponent Bounds.
Finite Geometries. Proceedings of the Forth Isle of Thorns Conference.
Eds. A. Blokhuis et. al.,
Kluwer Academic Publishers 2001, 319331.

On a class of symmetric divisible designs which are
almost projective planes.
Finite Geometries. Proceedings of the Forth Isle of Thorns Conference.
Eds. A. Blokhuis et. al.,
Kluwer Academic Publishers 2001, 2734
(with A. Blokhuis and D. Jungnickel).

Towards Ryser's Conjecture.
Proc. 3rd European Congress of Mathematics. Eds. C. Casacuberta et al.,
Progress in Mathematics 201 , Birkhäuser 2001, 533541.

Relative (p^{a},p^{b},p^{a},p^{ba})difference sets:
A Unified Exponent Bound and a Local Ring Construction.
Finite Fields Appl. 6 (2000), 122 (with S. L. Ma).

Williamson Matrices and a Conjecture of Ito's.
Des. Codes Cryptogr. 17 (1999), 6168.

Cyclotomic Integers and Finite Geometry.
J. Am. Math. Soc. 12 (1999), 929952.

Difference Sets: A Second Update.
Rend. Circ. Palermo Serie II, Suppl.
53 (1998), 89118 (with D. Jungnickel).

Cyclotomic Integers of Prescribed Absolute Value and the Class Group.
J. Number Theory
72 (1998), 269281.

Nonexistence Results on Chen and DavisJedwab Difference Sets.
J. Algebra 202 (1998), 404413.

Nonexistence of a (783,69,6)difference set.
Discrete Math. 178 (1998), 283285.

Difference Sets: An Update.
In: Geometry, Combinatorial
Designs and Related Structures. Proc. First Pythagorean
Conf., Eds. J.W.P. Hirschfeld et. al.
Cambridge University Press (1997), 89112 (with D. Jungnickel).

Difference Sets Corresponding to a Class of Symmetric
Designs.
Des. Codes and Crypt.
10 (1997), 223236 (with S. L. Ma).

A Sharp Exponent Bound for McFarland Difference Sets
with p=2.
J. Combin. Theory Ser. A
80 (1997), 347352 (with S. L. Ma).

A multiplier theorem for projections of affine difference
sets.
J. Stat. Plann. Inf.
62 (1997), 6367
(with A. Pott and D. Reuschling).

On (p^{a},p^{b},p^{a},p^{ab})Relative
Difference Sets.
J. Alg. Combin. 6 (1997), 279297.

On (p^{a},p,p^{a},p^{a1})Relative Difference Sets.
Des. Codes and Crypt. 6 (1995), 5771
(with S. L. Ma).

The Structure of Abelian Groups Containing McFarland
Difference Sets.
J. Combin. Theory Ser. A
70 (1995), 313322
(with S. L. Ma).

A Note on a Question of R. Baghi and S. Baghi.
Des. Codes and Crypt. 2 (1992), 395.