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On the cryptosystems based on two Eulerian transfor-mations defined over the commutative rings $Z_{2^s}, s>1$.
Feb. 26, 2024, 3:06 a.m. |
IACR News www.iacr.org
ePrint Report: On the cryptosystems based on two Eulerian transfor-mations defined over the commutative rings $Z_{2^s}, s>1$.
Vasyl Ustimenko
We suggest the family of ciphers s^E^n, n=2,3,.... with the space of plaintexts (Z*_{2^s})^n, s >1 such that the encryption map is the composition of kind G=G_1A_1G_2A_2 where A_i are the affine transformations from AGL_n(Z_{2^s}) preserving the variety (Z*_{2^s)}^n , Eulerian endomorphism G_i , i=1,2 of K[x_1, x_2,...., x_n] moves x_i to monomial term ϻ(x_1)^{d(1)}(x_2)^{d(2)}...(x_n)^{d(n)} , ϻϵ Z*_{2^s} and act on …
ciphers defined encryption eprint report family kind map report rings space
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