Abstract:
We consider class of functions over the residue ring Z2m generating the systems of equations such that given the first i coordinates of unknowns the next (i+1)th coordinates may be found as the solution of system of linear equations.
Key words:
functions over residue ring Z2m, polynomial functions, systems of polynomial equations, systems of linear equations.
Received 11.IV.2012
Document Type:
Article
UDC:519.716.32+519.854
Language: Russian
Citation:
M. V. Zaec, V. G. Nikonov, F. B. Shishkov, “A class of functions with coordinate-dependent polynomiality over the ring Z2m”, Mat. Vopr. Kriptogr., 4:3 (2013), 21–47
\Bibitem{ZaeNikShi13}
\by M.~V.~Zaec, V.~G.~Nikonov, F.~B.~Shishkov
\paper A class of functions with coordinate-dependent polynomiality over the ring~$\mathbb Z_{2^m}$
\jour Mat. Vopr. Kriptogr.
\yr 2013
\vol 4
\issue 3
\pages 21--47
\mathnet{http://mi.mathnet.ru/mvk91}
\crossref{https://doi.org/10.4213/mvk91}
Linking options:
https://www.mathnet.ru/eng/mvk91
https://doi.org/10.4213/mvk91
https://www.mathnet.ru/eng/mvk/v4/i3/p21
This publication is cited in the following 4 articles:
M. V. Zaets, “Razryadno-polinomialnoe postroenie podstanovok nad koltsom Galua”, PDM. Prilozhenie, 2017, no. 10, 17–19
M. V. Zaets, “Postroenie podstanovok s ispolzovaniem variatsionno-koordinatno polinomialnykh funktsii nad primarnym koltsom vychetov”, Matem. vopr. kriptogr., 6:1 (2015), 5–32
M. V. Zaets, “Klassifikatsiya funktsii nad primarnym koltsom vychetov v svyazi s metodom pokoordinatnoi linearizatsii”, PDM. Prilozhenie, 2014, no. 7, 16–19
M. V. Zaets, “O klasse variatsionno-koordinatno-polinomialnykh funktsii nad primarnym koltsom vychetov”, PDM, 2014, no. 3(25), 12–27
Citation in format AMSBIB
Contact us: