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math.CO2023
Segre's theorem on ovals in Desarguesian projective planes
Patrick J. Browne, Steven T. Dougherty, Padraig Ó Catháin
Segre's theorem on ovals in projective spaces is an ingenious result from the mid-twentieth century which requires surprisingly little background to prove. This note, suitable for…
math.CO2013
The automorphism group of the doubly-even [72,36,16] code can only be of order 1, 3 or 5
Steven T Dougherty, Suat Karadeniz, Bahattin Yildiz
We prove that a putative code is not the image of linear code over $\ZZ_4$, $\FF_2 + u \FF_2$ or $\FF_2+v\FF_2$, thus proving that the extremal doubly even $[72,36,16]…