23 citations · 32 across the 5 of their papers we have counts for
5 papers
The Extension of the Desargues Theorem, the Converse, Symmetry and Enumeration
Aiden A Bruen
This work is, in part, a generalization of the article by A.A. Bruen ,T.C Bruen and J.M.McQuillan on Desargues Theorem in arXiv:2007.09175[mathCO]July 17,2020. We prove the extensi…
New identities for the Shannon function and applications
Aiden A Bruen
We show how the Shannon entropy function H(p,q)is expressible as a linear combination of other Shannon entropy functions involving quotients of polynomials in p,q of degree n for a…
Desargues theorem, its configurations, and the solution to a long-standing enumeration problem
Aiden A. Bruen, Trevor C. Bruen, James M. McQuillan
We solve a long-standing problem by enumerating the number of non-degenerate Desargues configurations. We extend the result to the more difficult case involving Desargues blockline…
Cubic Curves, Finite Geometry and Cryptography
A. A. Bruen, J. W. P. Hirschfeld, D. L. Wehlau
Some geometry on non-singular cubic curves, mainly over finite fields, is surveyed. Such a curve has 9,3,1 or 0 points of inflexion, and cubic curves are classified accordingly. Th…
Maximum Distance Separable Codes and Arcs in Projective Spaces
T. L. Alderson, A. A. Bruen, R. Silverman
Given any linear code over a finite field we show how can be described in a transparent and geometrical way by using the associated Bruen-Silverman code. Then, spec…