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Finite semifields and nonsingular tensors

Michel Lavrauw
(2013) DESIGNS CODES AND CRYPTOGRAPHY. 68(1-3). p.205-227
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Abstract
In this article, we give an overview of the classification results in the theory of finite semifields (note that this is not intended as a survey of finite semifields including a complete state of the art (see also Remark 1.10)) and elaborate on the approach using nonsingular tensors based on Liebler (Geom Dedicata 11(4):455-464, 1981).
Keywords
Projective planes, Finite semifields, Segre varieties, Tensor products, IRREDUCIBLE SEMILINEAR TRANSFORMATIONS, CENTER F-Q, GENERALIZED QUADRANGLES, COMMUTATIVE SEMIFIELDS, PROJECTIVE-PLANES, LINEAR ALGEBRAS, DIVISION, DIMENSION, NUCLEUS, ISOTOPY

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Citation

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Chicago
Lavrauw, Michel. 2013. “Finite Semifields and Nonsingular Tensors.” Designs Codes and Cryptography 68 (1-3): 205–227.
APA
Lavrauw, M. (2013). Finite semifields and nonsingular tensors. DESIGNS CODES AND CRYPTOGRAPHY, 68(1-3), 205–227.
Vancouver
1.
Lavrauw M. Finite semifields and nonsingular tensors. DESIGNS CODES AND CRYPTOGRAPHY. 2013;68(1-3):205–27.
MLA
Lavrauw, Michel. “Finite Semifields and Nonsingular Tensors.” DESIGNS CODES AND CRYPTOGRAPHY 68.1-3 (2013): 205–227. Print.
@article{2152931,
  abstract     = {In this article, we give an overview of the classification results in the theory of finite semifields (note that this is not intended as a survey of finite semifields including a complete state of the art (see also Remark 1.10)) and elaborate on the approach using nonsingular tensors based on Liebler (Geom Dedicata 11(4):455-464, 1981).},
  author       = {Lavrauw, Michel},
  issn         = {0925-1022},
  journal      = {DESIGNS CODES AND CRYPTOGRAPHY},
  keyword      = {Projective planes,Finite semifields,Segre varieties,Tensor products,IRREDUCIBLE SEMILINEAR TRANSFORMATIONS,CENTER F-Q,GENERALIZED QUADRANGLES,COMMUTATIVE SEMIFIELDS,PROJECTIVE-PLANES,LINEAR ALGEBRAS,DIVISION,DIMENSION,NUCLEUS,ISOTOPY},
  language     = {eng},
  number       = {1-3},
  pages        = {205--227},
  title        = {Finite semifields and nonsingular tensors},
  url          = {http://dx.doi.org/10.1007/s10623-012-9710-6},
  volume       = {68},
  year         = {2013},
}
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