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08/14/2023
Sequences with identical autocorrelation spectra
Aperiodic autocorrelation measures the similarity between a finite-lengt...
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07/28/2023
Almost perfect nonlinear power functions with exponents expressed as fractions
Let F be a finite field, let f be a function from F to F, and let a be a...
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07/27/2023
Limiting Moments of Autocorrelation Demerit Factors of Binary Sequences
An aperiodic binary sequence of length ℓ is written as f=…,f_-1,f_0,f_1,...
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07/26/2023
Moments of Autocorrelation Demerit Factors of Binary Sequences
Sequences with low aperiodic autocorrelation are used in communications ...
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06/26/2023
Rationality of Four-Valued Families of Weil Sums of Binomials
We investigate the rationality of Weil sums of binomials of the form W^K...
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12/29/2021
Sets of Low Correlation Sequences from Cyclotomy
Low correlation (finite length) sequences are used in communications and...
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08/16/2021
Peak Sidelobe Level and Peak Crosscorrelation of Golay-Rudin-Shapiro Sequences
Sequences with low aperiodic autocorrelation and crosscorrelation are us...
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06/22/2020
The resolution of Niho's last conjecture concerning sequences, codes, and Boolean functions
A new method is used to resolve a long-standing conjecture of Niho conce...
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07/19/2018
On Chebotarëv's nonvanishing minors theorem and the Biró-Meshulam-Tao discrete uncertainty principle
Chebotarëv's theorem says that every minor of a discrete Fourier matrix ...
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06/12/2018
Sequences with Low Correlation
Pseudorandom sequences are used extensively in communications and remote...
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05/26/2018