Geodesic
Development and analysis of the encryption algorithm in nonpositional polynomial notations
Eurasian journal of mathematical and computer applications, Tome 6 (2018) no. 2, pp. 19-33.

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This paper proposes a nonpositional encryption scheme built on the basis of nonpositional polynomial notations (NPNs). To develop the cryptographic transformation system, there were implemented a Feistel network, S-boxes and encryption algorithm KazCipher based on NPNs. The S-boxes were specifically designed for the proposed encryption algorithm. Linear and differential analyses of S-boxes have been conducted. The results of avalanche effect tests of the algorithm are provided.
Keywords: encryption, nonpositional polynomial notations, cryptanalysis, S-box, Feistel network. 
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     author = {R. G. Biyashev and M. N. Kalimoldayev and S. E. Nyssanbayeva and N. A. Kapalova and D. S. Dyusenbayev and K. T. Algazy},
     title = {Development and analysis of the encryption algorithm in nonpositional polynomial notations},
     journal = {Eurasian journal of mathematical and computer applications},
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     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJMCA_2018_6_2_a1/}
}
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R. G. Biyashev; M. N. Kalimoldayev; S. E. Nyssanbayeva; N. A. Kapalova; D. S. Dyusenbayev; K. T. Algazy. Development and analysis of the encryption algorithm in nonpositional polynomial notations. Eurasian journal of mathematical and computer applications, Tome 6 (2018) no. 2, pp. 19-33. http://geodesic.mathdoc.fr/item/EJMCA_2018_6_2_a1/