Abstract
We prove that all sufficient large finite semifields of center \({\mathbb {F}}_{2^e}\) and order \(2^{4e}\) are right and left primitive.
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Acknowledgments
I. F. Rúa Partially supported by MINECO-13-MTM2013-45588-C3-1-P, and Principado de Asturias Grant GRUPIN14-142.
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Communicated by M. Lavrauw.
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Rúa, I.F. Primitive semifields of order \(2^{4e}\) . Des. Codes Cryptogr. 83, 345–356 (2017). https://doi.org/10.1007/s10623-016-0231-6
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DOI: https://doi.org/10.1007/s10623-016-0231-6
Keywords
- Finite semifield
- Primitive element
- Norm form
- Quadratic form
- Characteristic two
- Trace function
- Projective planes