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On the functional codes arising from the intersections of algebraic hypersurfaces of small degree with a non-singular quadric

Daniele Bartoli (UGent) and Leo Storme (UGent)
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Abstract
We discuss the functional codes C-h(Q(N)), for small h >= 3, q > 9, and for N >= 6. This continues the study of different classes of functional codes, performed on functional codes arising from quadrics and Hermitian varieties. Here, we consider the functional codes arising from the intersections of the algebraic hypersurfaces of small degree h with a given non-singular quadric Q(N) in PG(N, q).
Keywords
algebraic varieties, Functional codes, quadrics, small weight codewords, intersections, HERMITIAN VARIETIES

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Please use this url to cite or link to this publication:

MLA
Bartoli, Daniele, and Leo Storme. “On the Functional Codes Arising from the Intersections of Algebraic Hypersurfaces of Small Degree with a Non-singular Quadric.” ADVANCES IN MATHEMATICS OF COMMUNICATIONS 8.3 (2014): 271–280. Print.
APA
Bartoli, D., & Storme, L. (2014). On the functional codes arising from the intersections of algebraic hypersurfaces of small degree with a non-singular quadric. ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 8(3), 271–280.
Chicago author-date
Bartoli, Daniele, and Leo Storme. 2014. “On the Functional Codes Arising from the Intersections of Algebraic Hypersurfaces of Small Degree with a Non-singular Quadric.” Advances in Mathematics of Communications 8 (3): 271–280.
Chicago author-date (all authors)
Bartoli, Daniele, and Leo Storme. 2014. “On the Functional Codes Arising from the Intersections of Algebraic Hypersurfaces of Small Degree with a Non-singular Quadric.” Advances in Mathematics of Communications 8 (3): 271–280.
Vancouver
1.
Bartoli D, Storme L. On the functional codes arising from the intersections of algebraic hypersurfaces of small degree with a non-singular quadric. ADVANCES IN MATHEMATICS OF COMMUNICATIONS. 2014;8(3):271–80.
IEEE
[1]
D. Bartoli and L. Storme, “On the functional codes arising from the intersections of algebraic hypersurfaces of small degree with a non-singular quadric,” ADVANCES IN MATHEMATICS OF COMMUNICATIONS, vol. 8, no. 3, pp. 271–280, 2014.
@article{5819301,
  abstract     = {We discuss the functional codes C-h(Q(N)), for small h >= 3, q > 9, and for N >= 6. This continues the study of different classes of functional codes, performed on functional codes arising from quadrics and Hermitian varieties. Here, we consider the functional codes arising from the intersections of the algebraic hypersurfaces of small degree h with a given non-singular quadric Q(N) in PG(N, q).},
  author       = {Bartoli, Daniele and Storme, Leo},
  issn         = {1930-5346},
  journal      = {ADVANCES IN MATHEMATICS OF COMMUNICATIONS},
  keywords     = {algebraic varieties,Functional codes,quadrics,small weight codewords,intersections,HERMITIAN VARIETIES},
  language     = {eng},
  number       = {3},
  pages        = {271--280},
  title        = {On the functional codes arising from the intersections of algebraic hypersurfaces of small degree with a non-singular quadric},
  url          = {http://dx.doi.org/10.3934/amc.2014.8.271},
  volume       = {8},
  year         = {2014},
}

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