A note on diagonal and Hermitian hypersurfaces | Zendy

Ian F. Blake | Zendy; V. Kumar Murty | Zendy; Hamid Usefi | Zendy

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A note on diagonal and Hermitian hypersurfaces

Author(s) -

Ian F. Blake,

V. Kumar Murty,

Hamid Usefi

Publication year - 2016

Publication title -

advances in mathematics of communications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.601

H-Index - 26

eISSN - 1930-5346

pISSN - 1930-5338

DOI - 10.3934/amc.2016039

Subject(s) - mathematics , diagonal , hermitian matrix , pure mathematics , riemann zeta function , set (abstract data type) , work (physics) , mathematical analysis , combinatorics , geometry , mechanical engineering , computer science , engineering , programming language

Aspects of the properties, enumeration and construction of points on diagonal and Hermitian hypersurfaces have been considered extensively in the literature and are further considered here. The zeta function of diagonal hypersurfaces is given as a direct result of the work of Wolfmann. Recursive construction techniques for the set of rational points of Hermitian hypersurfaces are of interest. The relationship of these techniques here to the construction of codes on hypersurfaces is briefly noted.

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