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math.CO2026
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…
math.CO2026
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 pl…
math.CO2026
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…