01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
23.07.1969
E-mail:
Keywords:
Rings and Modulus
Stream ciphers
Protocols
Cloud cryptography
Subject:
Rings and Modulus
Stream ciphers
Main publications:
Tsypyschev, V.N., “Full periodicity of Galois polynomials over nontrivial Galois rings of odd characteristic”, Russian orginal, Journal of Mathematical Science, 131:6 (2005), 6120–6132
Tsypyshev V.N., “Kriterii polnoty perioda mnogochlena Galua nad nevyrozhdennym koltsom Galua nechetnoi kharakteristiki”, Sovremennaya matematika i ee prilozheniya, 14 (2004), 108–120
Kurakin, V.L.; Mikhalev, A.V.; Nechaev, A.A.; Tsypyschev, V.N., “Linear and polylinear recurring sequences over Abelian groups and modules”, Journal of Mathematical Science, 102:6 (2000), 4598–4626
A. A. Nechaev, V. N. Tsypyschev, “Artinian bimodule with quasi-Frobenius bimodule of translations”, Diskr. Mat., 29:3 (2017), 70–91; Discrete Math. Appl., 29:2 (2019), 103–119
2016
2.
V. N. Tsypyschev, “The second coordinate sequence of the MP-LRS over nontrivial Galois ring of an odd characteristic”, Diskr. Mat., 28:1 (2016), 123–149; Discrete Math. Appl., 27:1 (2017), 35–54
V. N. Tsypyshev, “Lower estimates of ranks of coordinate sequences of maximal period linear recurrent sequences over the non-trivial Galois ring”, Mat. Vopr. Kriptogr., 7:3 (2016), 137–143