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04/27/2023
Counting unate and balanced monotone Boolean functions
For n≤ 6, we provide the number of n-variable unate and monotone Boolean...
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12/15/2022
A Lower Bound on the Constant in the Fourier Min-Entropy/Influence Conjecture
We describe a new construction of Boolean functions. A specific instance...
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04/28/2022
Asymptotically Optimal Quasi-Complementary Code Sets from Multivariate Functions
Owing to the more significant set size properties as compared to the set...
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02/18/2022
On The "Majority is Least Stable" Conjecture
We show that the "majority is least stable" conjecture is true for n=1 a...
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11/12/2021
A Direct Construction of Prime-Power-Length Zero-Correlation Zone Sequences for QS-CDMA System
In the recent years, zero-correlation zone (ZCZ) sequences have been stu...
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08/05/2021
Direct Construction of Optimal Z-Complementary Code Sets for all Possible Even Length by Using Pseudo-Boolean Functions
Z-complementary code set (ZCCS) are well known to be used in multicarrie...
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07/19/2021
Influence of a Set of Variables on a Boolean Function
The influence of a set of variables on a Boolean function has three sepa...
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04/20/2021
Pseudo-Boolean Functions for Optimal Z-Complementary Code Sets with Flexible Lengths
This paper aims to construct optimal Z-complementary code set (ZCCS) wit...
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03/31/2021
Simpson's Paradox: A Singularity of Statistical and Inductive Inference
The occurrence of Simpson's paradox (SP) in 2× 2 contingency tables has ...
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02/21/2021
A Direct Construction of Complete Complementary Codes With Arbitrary Lengths
This paper is focused on efficient design of complete complementary code...
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10/22/2020
Separation Results for Boolean Function Classes
We show (almost) separation between certain important classes of Boolean...
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11/08/2019
Optimal Z-complementary Code Set From Generalized Reed-Muller Codes
Z-complementary code set (ZCCS), an extension of perfect complementary c...
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07/02/2019
A Direct Construction of Optimal ZCCS and IGC Code Set With Maximum Column Sequence PMEPR Two For MC-CDMA System
Multicarrier code-division multiple-access (MCCDMA) combines an orthogon...
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01/16/2019