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09/13/2023
On correlation distribution of Niho-type decimation d=3(p^m-1)+1
The cross-correlation problem is a classic problem in sequence design. I...
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06/19/2023
Codes and Pseudo-Geometric Designs from the Ternary m-Sequences with Welch-type decimation d=2· 3^(n-1)/2+1
Pseudo-geometric designs are combinatorial designs which share the same ...
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06/13/2023
On the parameters of extended primitive cyclic codes and the related designs
Very recently, Heng et al. studied a family of extended primitive cyclic...
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10/27/2022
Several classes of 0-APN power functions over 𝔽_2^n
Recently, the investigation of Partially APN functions has attracted a l...
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10/21/2022
The c-differential spectrum of x↦ x^p^n+1/2 in finite fields of odd characteristics
In the paper, we concentrate on the map x↦ x^p^n+1/2 on 𝔽_p^n and using ...
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10/19/2022
On the differential spectrum of a class of APN power functions over odd characteristic finite fields and their c-differential properties
Only three classes of Almost Perfect Nonlinear (for short, APN) power fu...
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10/18/2022
Two low differentially uniform power permutations over odd characteristic finite fields: APN and differentially 4-uniform functions
Permutation polynomials over finite fields are fundamental objects as th...
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03/01/2022
Two Classes of Power Mappings with Boomerang Uniformity 2
Let q be an odd prime power. Let F_1(x)=x^d_1 and F_2(x)=x^d_2 be power ...
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01/26/2022
Boomerang Spectra of Two Classes of Power Functions via Their Differential Spectra
In EUROCRYPT 2018, Cid et al. introduced a new concept on the cryptograp...
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08/06/2021
The Differential Spectrum of the Power Mapping x^p^n-3
Let n be a positive integer and p a prime. The power mapping x^p^n-3 ove...
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01/26/2021
On -1-differential uniformity of ternary APN power functions
Very recently, a new concept called multiplicative differential and the ...
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10/19/2020
Investigations on c-(almost) perfect nonlinear functions
In a prior paper <cit.>, two of us, along with P. Ellingsen, P. Felke an...
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03/29/2020
Power Functions over Finite Fields with Low c-Differential Uniformity
Perfect nonlinear (PN) functions have important applications in cryptogr...
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01/24/2019