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On the extendability of quasidivisible Griesmer arcs

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Abstract
We introduce the notion of t-quasidivisible arc as an (n, w)-arc inPG(k-1, q) such that every hyperplane has multiplicity congruent to n + i modulo q, where i. {0, 1,..., t}. We prove that every t-quasidivisible arc associated with a Griesmer code and satisfying an additional numerical condition is t times extendable.
Keywords
LINEAR CODES, EXTENSION THEOREM

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Citation

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Chicago
Landjev, Ivan, Assia Rousseva, and Leo Storme. 2016. “On the Extendability of Quasidivisible Griesmer Arcs.” Ed. Dina Ghinelli, Dieter Jungnickel, Michel Lavrauw, and Alexander Pott. Designs Codes and Cryptography 79: 535–547.
APA
Landjev, I., Rousseva, A., & Storme, L. (2016). On the extendability of quasidivisible Griesmer arcs. (D. Ghinelli, D. Jungnickel, M. Lavrauw, & A. Pott, Eds.)DESIGNS CODES AND CRYPTOGRAPHY, 79, 535–547.
Vancouver
1.
Landjev I, Rousseva A, Storme L. On the extendability of quasidivisible Griesmer arcs. Ghinelli D, Jungnickel D, Lavrauw M, Pott A, editors. DESIGNS CODES AND CRYPTOGRAPHY. 2016;79:535–47.
MLA
Landjev, Ivan, Assia Rousseva, and Leo Storme. “On the Extendability of Quasidivisible Griesmer Arcs.” Ed. Dina Ghinelli et al. DESIGNS CODES AND CRYPTOGRAPHY 79 (2016): 535–547. Print.
@article{8028415,
  abstract     = {We introduce the notion of t-quasidivisible arc as an (n, w)-arc inPG(k-1, q) such that every hyperplane has multiplicity congruent to n + i modulo q, where i. {0, 1,..., t}. We prove that every t-quasidivisible arc associated with a Griesmer code and satisfying an additional numerical condition is t times extendable.},
  author       = {Landjev, Ivan and Rousseva, Assia and Storme, Leo},
  editor       = {Ghinelli, Dina and Jungnickel, Dieter and Lavrauw, Michel and Pott, Alexander},
  issn         = {0925-1022},
  journal      = {DESIGNS CODES AND CRYPTOGRAPHY},
  keywords     = {LINEAR CODES,EXTENSION THEOREM},
  language     = {eng},
  pages        = {535--547},
  title        = {On the extendability of quasidivisible Griesmer arcs},
  url          = {http://dx.doi.org/10.1007/s10623-015-0114-2},
  volume       = {79},
  year         = {2016},
}

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