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21.
  • Weight Distribution of Some... Weight Distribution of Some Codewords of 3-ary Linear Code over GF(27)
    Ibrahim, Maha Majeed; Al-Zangana, Emad Bakr Al-Mustansiriyah journal of science, 12/2020, Letnik: 31, Številka: 4
    Journal Article
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    This paper is devoted to introduce the structure of the p-ary linear codes C(n,q) of points and lines of PG(n,q),q=p^h prime. When p=3, the linear code C(2,27) is given with its generator matrix and ...
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22.
  • Linear sets and MRD-codes a... Linear sets and MRD-codes arising from a class of scattered linearized polynomials
    Longobardi, Giovanni; Zanella, Corrado Journal of algebraic combinatorics, 05/2021, Letnik: 53, Številka: 3
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    A class of scattered linearized polynomials covering infinitely many field extensions is exhibited. More precisely, the q -polynomial over F q 6 , q ≡ 1 ( mod 4 ) described in Bartoli et al. (ARS ...
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23.
  • On the equivalence of linea... On the equivalence of linear sets
    Csajbók, Bence; Zanella, Corrado Designs, codes, and cryptography, 11/2016, Letnik: 81, Številka: 2
    Journal Article
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    Let L be a linear set of pseudoregulus type in a line ℓ in Σ ∗ = PG ( t - 1 , q t ) , t = 5 or t > 6 . We provide examples of q -order canonical subgeometries Σ 1 , Σ 2 ⊂ Σ ∗ such that there is a ( t ...
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24.
  • Partially scattered lineari... Partially scattered linearized polynomials and rank metric codes
    Longobardi, Giovanni; Zanella, Corrado Finite fields and their applications, December 2021, 2021-12-00, Letnik: 76
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    A linearized polynomial f(x)∈Fqnx is called scattered if for any y,z∈Fqn, the condition zf(y)−yf(z)=0 implies that y and z are Fq-linearly dependent. In this paper two generalizations of the notion ...
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25.
  • Transitive Deficiency One P... Transitive Deficiency One Parallelisms of PG(3, 7)
    Topalova, Svetlana; Zhelezova, Stela Mathematics (Basel), 05/2023, Letnik: 11, Številka: 11
    Journal Article
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    Consider the n-dimensional projective space PG(n,q) over a finite field with q elements. A spread in PG(n,q) is a set of lines which partition the point set. A parallelism is a partition of the set ...
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26.
  • On line covers of finite pr... On line covers of finite projective and polar spaces
    Cossidente, Antonio; Pavese, Francesco Designs, codes, and cryptography, 15/9, Letnik: 87, Številka: 9
    Journal Article
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    An m-cover of lines of a finite projective space PG ( r , q ) (of a finite polar space P ) is a set of lines L of PG ( r , q ) (of P ) such that every point of PG ( r , q ) (of P ) contains m lines ...
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27.
  • Transitive PSL(2,11)-invari... Transitive PSL(2,11)-invariant k-arcs in PG(4,q)
    Olson, Torger; Swartz, Eric Designs, codes, and cryptography, 15/8, Letnik: 87, Številka: 8
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    A k -arc in the projective space PG ( n , q ) is a set of k projective points such that no subcollection of n + 1 points is contained in a hyperplane. In this paper, we construct new 60-arcs and ...
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28.
  • New ternary linear codes fr... New ternary linear codes from projectivity groups
    Pace, Nicola Discrete mathematics, 09/2014, Letnik: 331
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    In this note, the existence of 66,10,363 and 55,15,243 linear codes is proven. These ternary codes are constructed from orbits of a projectivity group of PG(k−1,F3), for k=10,15. These new codes and ...
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29.
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30.
  • Geometry of the inversion i... Geometry of the inversion in a finite field and partitions of PG(2k − 1, q) in normal rational curves
    Lavrauw, Michel; Zanella, Corrado Journal of geometry, 04/2014, Letnik: 105, Številka: 1
    Journal Article
    Recenzirano

    Let L = F q n be a finite field and let F = F q be a subfield of L . Consider L as a vector space over F and the associated projective space that is isomorphic to PG( n − 1, q ). The properties of ...
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