An algorithm for constructing S-boxes for block symmetric encryption
Journal Title: Universal Journal of Mathematics and Applications (UJMA) - Year 2018, Vol 1, Issue 1
Abstract
This article presents an algorithm for the generation of S-boxes with the maximum algebraic immunity and high nonlinearity. The algorithm is founded method of the permutation of output element of S-box. On basis of the proposed method, S(8\times 8)S(8×8)-box created, with the algebraic immunity 3 (441) and nonlinearity 104. The algorithm given in this article can be used for oscillation of S(8\times 8)S(8×8))-boxes with the increased resistance to algebraic, linear, differential and linear and differential methods of a cryptanalysis, for block symmetric algorithms of encryption.
Authors and Affiliations
Alijon Bozorbayevicha Sattarov, Bakhtiyor Fayzievich Abdurahimov
An algorithm for constructing S-boxes for block symmetric encryption
This article presents an algorithm for the generation of S-boxes with the maximum algebraic immunity and high nonlinearity. The algorithm is founded method of the permutation of output element of S-box. On basis of the p...
Geodesics on the Momentum Phase Space with metric ^{{C}}{g}Cg
In this paper, a system of the differential equations giving geodesics on the momentum phase space with pseudo Riemann metric ^{C}g C g of a Hamilton space is found by using the Euler Lagrange equations. Then, space...
Positive solutions for nonlinear fractional differential equation with nonlocal boundary conditions
In this paper, we study the boundary value problem of a class of fractional differential equations involving the Riemann-Liouville fractional derivative with nonlocal integral boundary conditions. To establish the existe...
Boundedly solvable degenerate differential operators for first order
Using the methods of operator theory all boundedly solvable extensions of the minimal operator generated by degenerated type differential-operators expression in the weighted Hilbert space of vector-functions in finite i...
Some remarks regarding the (p,q)-(p,q)−Fibonacci and Lucas octonion polynomials
We investigate the (p,q)-(p,q)−Fibonacci and Lucas octonion polynomials. The main purpose of this paper is using of some properties of the (p,q)-(p,q)− Fibonacci and Lucas polynomials. Also for present some results invol...