A note on diagonal and Hermitian surfaces

I Blake, VK Murty, H Usefi - arXiv preprint arXiv:1411.3706, 2014 - arxiv.org
I Blake, VK Murty, H Usefi
arXiv preprint arXiv:1411.3706, 2014arxiv.org
Aspects of the properties, enumeration and construction of points on diagonal and Hermitian
surfaces have been considered extensively in the literature and are further considered here.
The zeta function of diagonal surfaces is given as a direct result of the work of Wolfmann.
Recursive construction techniques for the set of rational points of Hermitian surfaces are of
interest. The relationship of these techniques here to the construction of codes on surfaces is
briefly noted.
Aspects of the properties, enumeration and construction of points on diagonal and Hermitian surfaces have been considered extensively in the literature and are further considered here. The zeta function of diagonal surfaces is given as a direct result of the work of Wolfmann. Recursive construction techniques for the set of rational points of Hermitian surfaces are of interest. The relationship of these techniques here to the construction of codes on surfaces is briefly noted.
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