Prikladnaya Diskretnaya Matematika. Supplement
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Prikl. Diskr. Mat. Suppl.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Prikladnaya Diskretnaya Matematika. Supplement, 2017, Issue 10, Pages 36–38
DOI: https://doi.org/10.17223/2226308X/10/14 (Mi pdma335) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Discrete Functions

On constructing special APN functions and their link with APN permutations

V. A. Idrisovaab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
Full-text PDF (569 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.17223/2226308X/10/14
Abstract: The existence of APN permutation in even dimension is an important open problem on cryptographic Boolean functions. In this paper, we consider an algorithm for constructing $2$-to-$1$ APN functions and searching the corresponding affine functions such that their sum is an APN permutation. As a result, $2$-to-$1$ APN functions in 5 and 6 variables are found. These functions are APN permutations.
Keywords: vector Boolean function, APN function, bijective function, $2$-to-$1$ function, permutation.
Funding agency Grant number
Russian Foundation for Basic Research 17-41-543364
Document Type: Article
UDC: 519.7
Language: Russian
Citation: V. A. Idrisova, “On constructing special APN functions and their link with APN permutations”, Prikl. Diskr. Mat. Suppl., 2017, no. 10, 36–38
Citation in format AMSBIB
\Bibitem{Idr17}
\by V.~A.~Idrisova
\paper On constructing special APN functions and their link with APN permutations
\jour Prikl. Diskr. Mat. Suppl.
\yr 2017
\issue 10
\pages 36--38
\mathnet{http://mi.mathnet.ru/pdma335}
\crossref{https://doi.org/10.17223/2226308X/10/14}
Linking options:
  • https://www.mathnet.ru/eng/pdma335
  • https://www.mathnet.ru/eng/pdma/y2017/i10/p36
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Diskretnaya Matematika. Supplement
    Statistics & downloads:
    Abstract page:244
    Full-text PDF :80
    References:45
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024