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Finite semifields and nonsingular tensors

Michel Lavrauw (UGent)
(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

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

MLA
Lavrauw, Michel. “Finite Semifields and Nonsingular Tensors.” DESIGNS CODES AND CRYPTOGRAPHY 68.1-3 (2013): 205–227. Print.
APA
Lavrauw, M. (2013). Finite semifields and nonsingular tensors. DESIGNS CODES AND CRYPTOGRAPHY, 68(1-3), 205–227.
Chicago author-date
Lavrauw, Michel. 2013. “Finite Semifields and Nonsingular Tensors.” Designs Codes and Cryptography 68 (1-3): 205–227.
Chicago author-date (all authors)
Lavrauw, Michel. 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.
IEEE
[1]
M. Lavrauw, “Finite semifields and nonsingular tensors,” DESIGNS CODES AND CRYPTOGRAPHY, vol. 68, no. 1–3, pp. 205–227, 2013.
@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}},
  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}},
  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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