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The BEL-rank of finite semifields

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Abstract

In this article we introduce the notion of the BEL-rank of a finite semifield, prove that it is an invariant for the isotopism classes, and give geometric and algebraic interpretations of this new invariant. Moreover, we describe an efficient method for calculating the BEL-rank, and present computational results for all known small semifields.

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Correspondence to John Sheekey.

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Communicated by D. Jungnickel.

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Lavrauw, M., Sheekey, J. The BEL-rank of finite semifields. Des. Codes Cryptogr. 84, 345–358 (2017). https://doi.org/10.1007/s10623-016-0270-z

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  • DOI: https://doi.org/10.1007/s10623-016-0270-z

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