On Subspaces of Kloosterman Zeros and Permutation of the Form

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10436799" target="_blank" >RIV/00216208:11320/21:10436799 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/content/pdf/10.1007%2F978-3-030-68869-1.pdf" target="_blank" >https://link.springer.com/content/pdf/10.1007%2F978-3-030-68869-1.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On Subspaces of Kloosterman Zeros and Permutation of the Form
Original language description
ermutations of the form F(x) = L1(x-1) + L2(x) with linear functions L1, L2 are closely related to several interesting questions regarding CCZ-equivalence and EA-equivalence of the inverse function. In this paper, we show that F cannot be a permutation on binary fields if the kernel of L1 or L2 is large. A key step of our proof is an observation on the maximal size of a subspace V of F2n that consists of Kloosterman zeros, i.e. a subspace V such that Kn(v) = 0 for every v ELEMENT OF V where Kn(v) denotes the Kloosterman sum of v.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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