Two new infinite classes of apn functions

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August undefined, 2024

WebSep 27, 2024 · 09/27/22 - In the literature, there are many APN-like functions that generalize the APN properties or are similar to APN functions, e.g. loca... 09/27/22 - In the literature, … WebSep 1, 2008 · This paper introduces the first found infinite classes of almost perfect nonlinear (APN) polynomials which are not Carlet-Charpin-Zinoviev (CCZ)-equivalent to …

Two new infinite classes of APN functions - NASA/ADS

WebDec 1, 2024 · An infinite class of quadratic APN functions which are not equivalent to power mappings. IEEE International Symposium on Information Theory (2006), ... Constructing … WebOct 26, 2024 · Recently, the investigation of Partially APN functions has attracted a lot of attention. In this paper, with the help of resultant elimination and MAGMA, we propose … presbyterian clinics in new mexico

A new large class of functions not APN infinitely often

WebOct 27, 2024 · Recently, the investigation of Partially APN functions has attracted a lot of attention. In this paper, with the help of resultant elimination and MAGMA, we propose … WebMay 19, 2024 · In a prior paper (Ellingsen et al. , 2024), two of us, along with P. Ellingsen, P. Felke, and A. Tkachenko, defined a new (output) multiplicative differential and the … WebUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). scottish dance teachers alliance glasgow

Constructing new APN functions and bent functions over finite …

Two new infinite classes of APN functions DeepAI

WebOct 6, 2024 · DOI: 10.48550/arXiv.2209.13456. access: open. type: Informal or Other Publication. metadata version: 2024-10-06. Longjiang Qu, Kangquan Li: More infinite … WebJun 30, 2015 · The switching method is a very powerful method to construct new APN functions and differentially 4-uniform permutations over finite fields of even … scottish das registerWeb[2]. bumpas. excel vba generate unique id. beth behrs net worth. ohio bmv locations columbus white pages langford bc. lottery ticket scanner indiana. btd6 custom tower … scottish danse

"WebSep 27, 2024 · For one thing, we find two infinite classes of locally-APN but not APN power functions over \gf 2 2 m with m even, i.e., F 1 ( x) = x j ( 2 m − 1) with gcd ( j, 2 m + 1) = 1 … " - Two new infinite classes of apn functions

Two new infinite classes of apn functions

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WebIn the literature, there are many APN-like functions that generalize the APN properties or are similar to APN functions, e.g. locally-APN functions, 0-APN functions or those with … WebMay 18, 2024 · In this paper, we present two new infinite classes of APN functions over F22m and F23m , respectively. The first one is with bivariate form and obtained by adding …

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WebJun 30, 2015 · Using the switching method, several new constructions of infinite classes of nonpower APN functions and two new classes of bent functions in finite fields of odd … WebDesigns, Codes and Cryptography. Periodical Home; Latest Issue; Archive; Authors; Affiliations; Home Browse by Title Periodicals Designs, Codes and Cryptography Vol. 73, …

WebMay 18, 2024 · The calculation of the CCZ-invariants $\Gamma$-ranks of our APN classes over $\gf_{{2^8}}$ or $\gf_{{2^9}}$ indicates that they are CCZ-inequivalent to all known … WebThe calculation of the CCZ-invariants $\Gamma$-ranks of our APN classes over $\gf_{{2^8}}$ or $\gf_{{2^9}}$ indicates that they are CCZ-inequivalent to all known infinite …

WebFeb 21, 2012 · Alexander Pott and Yves Edel discovered a new ccz class represented by a cubic mapping i.e. a cubic APN which is not ccz quadratic. In On the classification of APN … WebMar 8, 2024 · Abstract: In this paper, we present two new families of APN functions. The first family is in bivariate form over . It is obtained by adding certain terms of the form to a …

WebMay 18, 2024 · The first one is with bivariate form and obtained by adding special terms, ∑(a_ix^2^iy^2^i,b_ix^2^iy^2^i), to a known class of APN functions by Göloǧlu over _2^m^2. …

WebJan 2, 2024 · Bibliographic details on Several new infinite classes of 0-APN power functions over F 2 n . We are hiring! Do ... Several new infinite classes of 0-APN power functions … scottish dance vs irish dance presbyterian coach kevin kelleyWebIn this paper, we present two new infinite classes of APN functions over and , respectively.The first one is with bivariate form and obtained by adding special terms, , to … scottish dancing clip artWebThe calculation of the CCZ-invariants $\Gamma$-ranks of our APN classes over $\gf_{2^8}$ or $\gf_{2^9}$ indicates that they are CCZ-inequivalent to all known infinite families of … scottish dance bands cdsWebWe present two infinite families of APN functions in triviariate form over finite fields of the form F 2 3 m. We show that the functions from both families are permutations when m is … presbyterian clinic rio rancho nmWebJun 7, 2024 · In this paper we define a notion of partial APNness and find various characterizations and constructions of classes of functions satisfying this condition. We … scottish daily statsWebSep 27, 2024 · More infinite classes of APN-like Power Functions. Longjiang Qu, Kangquan Li. In the literature, there are many APN-like functions that generalize the APN properties … scottish deanery