Geodesic
On the mixing properties of operations in a finite field
Diskretnaya Matematika, Tome 23 (2011) no. 2, pp. 32-40
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In the context of the approach given in Shannon's research [Bell Syst. Tech. J. 28: 656–715, 1949], of interest are the mixing properties of operations in a finite field, in particular, the action of each operation on cosets with respect to the action of the second operation. The good mixing properties give a possibility to construct on this base good cryptographic algorithms. 
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O. V. Shemyakina. On the mixing properties of operations in a finite field. Diskretnaya Matematika, Tome 23 (2011) no. 2, pp. 32-40. http://geodesic.mathdoc.fr/item/DM_2011_23_2_a1/

[1] Shennon K., “Teoriya svyazi v sekretnykh sistemakh”, Raboty po teorii informatsii i kibernetike, Inostrannaya literatura, Moskva, 1963

[2] Gorchinskii Yu. N., “O gomomorfizmakh mnogoosnovnykh universalnykh algebr v svyazi s kriptograficheskimi primeneniyami”, Trudy po diskretnoi matematike, 1, 1997, 67–84 | MR | Zbl

[3] Gorchinskii Yu. N., “Stokhasticheskie algebry”, Trudy po diskretnoi matematike, 2, 1998, 55–87 | MR | Zbl