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Primitive semifields of order \(2^{4e}\)

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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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Correspondence to I. F. Rúa.

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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

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