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The development of three modular Rabin's encryption algorithm with using ordinary integer and modified perfect forms of the system of residual classes is presented in this paper. This method takes precedence over classic in choosing modules of the same order in sustainability by increasing the block of plaintext for encryption. New methods for implementation of major labor-intensive operations of...
Factorization is one of the most important problems in the theory of numbers and a modern asymmetric cryptography. Known methods of factorization are quite cumbersome; therefore, require significant computational resources for processing multi-bit numbers. The relevance of the factorization problem is dictated also by uncertainty regarding the theoretical foundation of stability for the disclosure...
The test for checking on the simplicity of multidigit numbers with using the method of vector and modular multiplication, which is characterized by high performance and low computational complexity in comparison with known is designed in this article. The block diagram of algorithm operation and its gradually implementation is presented.
Present paper shows that the system of residual classes is quite promising for usage in modern computing systems, especially for performing operations with multi-digit numbers. The analytical expressions and the conditions which allowed calculating all versions of modules for a given number in perfect shape system of residual classes were obtained.
In present study a method for constructing a table of indices, where the multiplication operation performed on short residues, which can reduce the time and computational complexity.
This paper considers algorithms for matrix multiplication and modular exponentiation. Shown that algorithms are effectively implemented using appropriate tables, which allows to replace the operation of multiplication into operation of addition.
The theoretical basis of bisignal formation of information flow in computer systems (CS) with open optical signal (OOS) was proclaimed. Analytic expressions of signals attenuation in computer systems OOS with compensated multiplicative noise were determined.
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