On a conjecture of Tsfasman and an inequality of Serre for the number of points on hypersurfaces over finite fields
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Publication:2802996
zbMath1348.14069arXiv1503.03049MaRDI QIDQ2802996
Mrinmoy Datta, Sudhir R. Ghorpade
Publication date: 3 May 2016
Full work available at URL: https://arxiv.org/abs/1503.03049
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Rational points (14G05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Finite ground fields in algebraic geometry (14G15) Combinatorial structures in finite projective spaces (51E20) Varieties over finite and local fields (11G25)
Related Items (10)
Arithmetic, Geometry, and Coding Theory: Homage to Gilles Lachaud ⋮ Number of solutions of systems of homogeneous polynomial equations over finite fields ⋮ Remarks on the Tsfasman-Boguslavsky Conjecture and higher weights of projective Reed-Muller codes ⋮ A Combinatorial Approach to the Number of Solutions of Systems of Homogeneous Polynomial Equations over Finite Fields ⋮ Vanishing ideals of projective spaces over finite fields and a projective footprint bound ⋮ Higher Grassmann codes ⋮ Varieties over finite fields: quantitative theory ⋮ A note on Nullstellensatz over finite fields ⋮ An upper bound on the number of rational points of arbitrary projective varieties over finite fields ⋮ Maximum Number of Common Zeros of Homogeneous Polynomials over Finite Fields
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