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1.608  Articles
1 of 162 pages  |  10  records  |  more records»
An irreducible polynomial is one of the main components in building an S-box with an algebraic technique approach. The selection of the precise irreducible polynomial will determine the quality of the S-box produced. One method for determining good S-box ... see more

Almost all of the major applications in the specific Fields of Communication used a well-known device called Linear Feedback Shift Register. Usually LFSR functions in a Galois Field GF(2n), meaning that all the operations are done with arithmetic modulo n... see more

Context. When cryptographic applications and data transmission control systems are implementing, there is a need for quick methods for performing operations on finite field elements. The object of the study is the processes of encryption, decryption and t... see more

Context. The problem to form generalized primitive matrixes on the Galois and Fibonacci any order over the field characteristics2 for the construction by the generators gamma functions for cryptographically stable algorithms of inline data encryption, fre... see more

Context. The problem to form generalized primitive matrixes on the Galois and Fibonacci any order over the field characteristics2 for the construction by the generators gamma functions for cryptographically stable algorithms of inline data encryption, fre... see more

The questions of Galois and Fibonacci random size n primitive matrices creation over thesimple field GF( p) is considered. The synthesis is based on usage of irreducible polynomial fn of degreen and primitive elements of extended field GF( pn ) , which is... see more

We consider maps on genus-gg surfaces with nn (labeled) faces of prescribed even degrees. It is known since work of Norbury that, if one disallows vertices of degree one, the enumeration of such maps is related to the counting of lattice point in the modu... see more

Suppose that ??\chi_\lambda and ?µ\chi_\mu are distinct irreducible characters of the symmetric group SnS_n. We give an algorithm that, in time polynomial in nn, constructs p?Sn\pi\in S_n such that ??(p)\chi_\lambda(\pi) is provably different from ?µ(p)\c... see more

Relaxation of the electron energy and momentum densities is investigated in spatially uniform states of completely ionized plasma in the presence of small constant and spatially homogeneous external electric field. The plasma is considered in a generalize... see more

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