In this paper we construct exponentionally many non-isomorphic skew Hadamard
difference sets over an elementary abelian group of order $q^3$

Muzychuk, Mikhail

arXiv.org e-Print Archive

CiteSeerX

English

On Skew Hadamard difference sets

AMS classifications: 05E30, 05B20;amorphic association scheme;strongly regular graph;(negative) Latin square type;cyclotomic association scheme;strongly regular decomposition

Dam, E.R. van

Muzychuk, M.

Research Papers in Economics

3-Class association schemes and Hadamard matrices of a certain block form,

A (49;16;3;6) strongly regular graph does not exist,

A characterization of association schemes from a±ne spaces, Des. Codes Crypt.

A construction of amorphous association scheme from a pseudo-cyclic association scheme,

A construction of non-isomorphic amorphous association schemes from pseudo-cyclic association schemes,

A covering construction for packing disjoint copies of the Ho®man-Singleton graph into K50,

A generalization of Wallis-Fon-Der-Flaass construction of strongly regular graphs,

A new example of non-amorphous association schemes,

Action of the group M12 on Hadamard matrices,

Advanced problem 6434,

Algebraic Combinatorics I: Association schemes, Benjamin/Cummings Publ., Menlo Park,

Algebraic Combinatorics,

Amorphic association schemes with negative Latin square-type graphs,

Amorphic cellular rings,

Amorphous association schemes over the Galois rings of characteristic 4,

An algebraic approach to the association schemes of coding theory,

Cellular rings and groups of automorphisms of graphs,

Certain 3-decompositions of complete graphs with an application to ¯nite ¯elds,

Classi¯cation and analysis of partially balanced incomplete block designs with two associate classes,

Coherent algebras,

Construction of strongly regular graphs, two-weight codes and partial geometries by ¯nite ¯elds,

Cyclotomy and strongly regular graphs,

Distance-Regular Graphs,

Finite nets, II. Uniqueness and embedding,

Fissions of classical self-dual association schemes,

Latin squares,

Maximal arcs and disjoint maximal arcs in projective planes of order 16,

Maximal sets of MOLS,

Mutually orthogonal Latin squares,

New negative Latin square type partial di®erence sets

On a theorem of Ikuta, Ito and Munemasa,

On amorphic C-algebras,

or®er, Introduction to algebra,

Problem session at ALCOM-91,

Rank 4 association schemes, unpublished manuscript. 18[33]

Small Latin squares, quasigroups, and loops.

Solution of advanced problem 6434,

Some new cyclotomic strongly regular graphs,

Strongly regular decompositions of the complete graph,

Strongly regular graphs and partial geometries,

Switching of edges in strongly regular graphs I: a family of partial di®erence sets on 100 vertices,

Symmetric Bush-type Hadamard matrices of order 4m 2 exist for all odd m,

The decomposition of the complete graph into three, isomorphic strongly regular graphs,

The existence of a Bush{type Hadamard matrix of order 324 and two new in¯nite classes of symmetric designs,

The geometry of two-weight codes,

The search for pseudo orthogonal Latin squares of order six,

The smallest non-rank 3 strongly regular graphs which satisfy the 4-vertex condition,

Three-class association schemes,

Uniform cyclotomy,

Some Implications on Amorphic Association Schemes