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Processor Interconnection Networks from Cayley Graphs

- Stephen T. Schibell, R. M. Stafford
- Computer Science
- Discret. Appl. Math.
- 14 December 1992

Abstract Cayley graphs of groups are presently being considered by the computer science community as models of architectures for large scale parallel processor computers. In the first section of this… Expand

On twin prime power Hadamard matrices

- Padraig Ó Catháin, R. M. Stafford
- Computer Science, Mathematics
- Cryptography and Communications
- 1 September 2010

TLDR

Automorphisms of higher‐dimensional Hadamard matrices

- W. D. Launey, R. M. Stafford
- Mathematics
- 1 November 2008

This article derives from first principles a definition of equivalence for higher-dimensional Hadamard matrices and thereby a definition of the automorphism group for higher-dimensional Hadamard… Expand

On cocyclic weighing matrices and the regular group actions of certain paley matrices

- W. D. Launey, R. M. Stafford
- Computer Science, Mathematics
- Discret. Appl. Math.
- 15 May 2000

In this paper we consider cocyclic weighing matrices. Cocyclic development of a weighing matrix is shown to be related to regular group actions on the points of the associated group divisible design.… Expand

On the automorphisms of Paley's type II Hadamard matrix

- W. D. Launey, R. M. Stafford
- Computer Science, Mathematics
- Discret. Math.
- 1 July 2008

TLDR

Groups of Permutation Polynomials over Finite Fields

- R. M. Stafford
- Mathematics
- 1 October 1998

LetFbe a finite field. We apply a result of Thierry Berger (1996,Designs Codes Cryptography,7, 215?221) to determine the structure of all groups of permutations onFgenerated by the permutations… Expand

Short two-variable identities for finite groups

- David P. Cargo, W. de Launey, M. Liebeck, R. M. Stafford
- Mathematics
- 2008

Abstract In this paper, we consider finite groups G satisfying identities of the form . We focus on identities with r small, , and all coprime to the order of G. We show that for r = 2,3 and 5, G… Expand

A Characterization of Janko's Simple Group J4 by Centralizers of Elements of Order 3

- R. M. Stafford
- Mathematics
- 1 April 1979

In a recent paper [lo], Zvonimir Janko exhibited strong evidence for the existence of a new type of simple group. However, the existence and uniqueness of a simple group satisfying Janko’s hypothesis… Expand

Revolving room-assignment board facilitates admitting procedure.

- R. M. Stafford
- Medicine
- Hospital topics
- 1969

On the Least Number of Cell Orbits of a Hadamard Matrix of Order n

- W. D. Launey, R. M. Stafford
- Mathematics
- 2005

The automorphism group of any Hadamard ma- trix of order n acts on the set of cell co-ordinates f(i;j)ji;j = 1;2;:::;ng. Let f(n) denote the least number of cell orbits amongst all the Hadamard… Expand