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Projective nested cartesian codes

Published in arXiv (Cornell University) • Nov 25, 2014
NobleIDNI8P19W19R68S76
Authors:
Cicero Carvalho
,
V. G. Lopez Neumann
,
Hiram H. Lopez

Abstract

In this paper we introduce a new type of code, called projective nested cartesian code. It is obtained by the evaluation of homogeneous polynomials of a fixed degree on a certain subset of $\mathbb{P}^n(\mathbb{F}_q)$, and they may be seen as a generalization of the so-called projective Reed-Muller ...

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