IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Special Section on Discrete Mathematics and Its Applications
Lower Bounds on the PTF Weight of ODD-MAXBIT Function
Kazuyuki AMANO
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2023 年 E106.A 巻 9 号 p. 1189-1190

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We show that every polynomial threshold function that sign-represents the ODD-MAXBITn function has total absolute weight 2Ω(n1/3). The bound is tight up to a logarithmic factor in the exponent.

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© 2023 The Institute of Electronics, Information and Communication Engineers
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