5 papers
The intersection of two linear sets of rank 3 in PG(1,q^3)
S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson
This article studies the intersection of two linear sets of rank 3 of PG(1,q^3). In particular, all possible intersection sizes are determined, the structure of the largest interse…
Inherited arcs in André planes of even order
S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson
André planes of order can be constructed from the Desarguesian plane using a process that involves replacing André nets. This article constructs ovals in André…
Enumerating inherited conics in André planes of odd order
S. G. Barwick, Alice M. W. Hui, Wen-Ai Jackson
The process of deriving the Desarguesian plane to get the Hall plane is well known, and the problem of when a conic in inherits to an arc in the Hall plane…
A classification of unitals in nearfield planes with maximal automorphism group
Randon J. Weaver, Robert S. Coulter, Alice M. W. Hui
We classify the parabolic unitals in regular nearfield planes of odd order whose linear collineation group has the maximal size of . We also establish a number of more…
A PTR polynomial for the Hughes planes and a new class of permutation polynomials involving Catalan numbers
Stephen Brittain, Robert S. Coulter, Alice Man Wa Hui
Hughes introduced the projective planes that bear his name in 1957 and they have since been studied extensively. However, until now, no polynomial representation of a planar ternar…