Abstract

In this paper we give a geometrical construction of a ( 56, 2)-blocking set in PG( 2, 19) and We obtain a new (325,18)- arc and a new linear code and apply the Grismer rule so that we prove it an optimal or non-optimal code, giving some examples of field 19 arcs Theorem (2.1).

Highlights

  • Introduction GiveGF(q) a chance to indicate the Galois field of q components and V (3, q) be the vector space of column vectors of length three with sections in GF(q)

  • Nada Yassen Kasm Yahya and Zyiad Adrees Hamad Youines the vector X, at that point we will state that X is a vector speaking to P(X)

  • A subspace of measurement one is an arrangement of focuses the majority of whose speaking to vectors shape a subspace of measurement two of V (3, q).Such subspaces are called lines

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Summary

Introduction

Introduction GiveGF(q) a chance to indicate the Galois field of q components and V (3, q) be the vector space of column vectors of length three with sections in GF(q). There exists a relationship between (n,r)-circular segments in PG(2,9) and [n,3,d]codes, given by the following hypothesis.[gq(k,d)]q

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