On the Gowers <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e23" altimg="si5.svg"><mml:msub><mml:mrow><mml:mi>U</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e33" altimg="si6.svg"><mml:msub><mml:mrow><mml:mi>U</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:math> norms of Boolean functions and their restriction to hyperplanes-Reference-Cited by-同舟云学术

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On the Gowers U2 and U3 norms of Boolean functions and their restriction to hyperplanes

Published:2023-12 Issue: Volume:341 Page:4-8
ISSN:0166-218X
Container-title:Discrete Applied Mathematics
language:en
Short-container-title:Discrete Applied Mathematics

Author:

Kumar Vikas^ORCID,Mandal Bimal,Gangopadhyay Aditi Kar

Publisher

Elsevier BV

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference10 articles.

1. Recursive lower bounds on the nonlinearity profile of boolean functions and their applications;Carlet;IEEE Trans. Inform. Theory,2008

2. Boolean Functions for Cryptography and Coding Theory;Carlet,2021

3. The Gowers Norm in the Testing of Boolean Functions;Chen,2009

4. Gowers U3 norm of some classes of bent Boolean functions;Gangopadhyay;Des. Codes Cryptogr.,2018

5. Gowers U2 norm as a measure of nonlinearity for Boolean functions and their generalizations;Gangopadhyay;Adv. Math. Commun.,2021

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