WebLinear codes and blocking structures in finite projective and polar spaces 2010 AHallezPhD.pdf. Geertrui Van de Voorde Blocking sets in finite projective spaces and … WebFor a basic introduction to projective geometry see [2]. 2 Basic Defintions and results Let’s start with the definition of a projective plane. Definition 2.1. A Projective plane Pis an ordered pair of sets (p(P);l(P)), whose elements are called points and lines, respectively, and a relation between these sets, called incidence,

Linear representations of finite geometries and associated …

WebWe look at low-density parity-check codes over a finite field $${\\mathbb{K}}$$ associated with finite geometries $${T_2^*(\\mathcal{K})}$$ , where $${\\mathcal{K}}$$ is a sufficiently large k -arc in PG(2, q ), with q = p h . The code words of minimum weight are known. With exception of some choices of ... WebLinear codes and blocking structures in finite projective and polar spaces 2010 AHallezPhD.pdf. Geertrui Van de Voorde Blocking sets in finite projective spaces and coding theory 2010 gvdvoorde.pdf. Beukje Temmermans Dualities and Collineations of Projective and Polar Spaces and of Related Geometries 2010 Thesis3.pdf can i sell things i find on thingiverse

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WebA related problem that interests Professor Cooperstein concerns characterizing the maximal external subspaces which do not contain any points of various point sets in finite projective space - so called maximal external flats. Such spaces can be used to construct caps on varieties, error-correcting codes, and other combinatorial objects. WebApr 5, 2013 · CAPS OF PG(r,q) AND LINEAR CODES. NOTATION. Let V = V r+1,q be the (r+1)-dimensional vector space over the Galois field GF(q) and let S = S r,q = PG(r,q) be … WebDownload Finite Projective Geometries and Linear Codes Abstract In this paper, we study the connections between linear codes and projective geometries over finite … can i sell stock options once they vest