Remarks on the Tsfasman-Boguslavsky Conjecture and higher weights of projective Reed-Muller codes

DOI10.1090/conm/686/13782zbMath1367.14008arXiv1603.06232OpenAlexW4246563775MaRDI QIDQ5346824

Mrinmoy Datta, Sudhir R. Ghorpade

Publication date: 29 May 2017

Published in: Arithmetic, Geometry, Cryptography and Coding Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06232

zbMATH Keywords

Reed-Muller codesVeronese varietyTsfasman-Boguslavsky conjecture

Mathematics Subject Classification ID

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 (3)

Number of solutions of systems of homogeneous polynomial equations over finite fields ⋮ A Combinatorial Approach to the Number of Solutions of Systems of Homogeneous Polynomial Equations over Finite Fields ⋮ Maximum Number of Common Zeros of Homogeneous Polynomials over Finite Fields

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