Geodesic

Sommaire du Fascicule no. 1

Obituary: Mikhail Mikhailovich Glukhov
p. 5-10
On $2$-transitive products of three regular permutation groups of a finite field
p. 11-26
Partitions without small blocks and $r$-associated Bell polynomials in a parametric model: probabilistic-statistical analysis
p. 27-40
Probabilistic characteristics of differential and linear relations for nonhomogeneous linear medium
p. 41-72
Layers of the graph of $k$-fold iteration of the uniform random mapping
p. 73-82
On a probabilistic approach to the estimation of reliability of the Hellman method
p. 83-114
$\otimes_{\mathbf{W}}$-markovianity of XSL-block ciphers connected with properties of their round functions
p. 115-142

Sommaire du Fascicule no. 2

Information on the Symposium CTCryptвЂTM2018
p. 5-6
$\mathsf{XS}$-circuits in block ciphers
p. 7-30
Practical significance of security bounds for standardized internally re-keyed block cipher modes
p. 31-46
Near birthday attack on “$8$ bits” $\mathsf{AEAD}$ mode
p. 47-60
Data recovery for a neural network-based biometric authentication scheme
p. 61-74
Some properties of modular addition
p. 75-88
Testing the NIST Statistical Test Suite on artificial pseudorandom sequences
p. 89-96
An LWE-based verifiable threshold secret sharing scheme
p. 97-106
Exact maximum expected differential and linear probability for $2$-round Kuznyechik
p. 107-116
On some properties of an XSL-network
p. 117-124
How much data may be safely processed on one key in different modes?
p. 125-134
Construction of strong elliptic curves suitable for cryptographic applications
p. 135-144
Considering two MAC under SIG variants of the basic SIGMA protocol
p. 145-158
On a new classification of Boolean functions
p. 159-168
New classes of $8$-bit permutations based on a butterfly structure
p. 169-180
Evaluation of the maximum performance of block encryption algorithms
p. 181-191

Sommaire du Fascicule no. 3

Cycle structure of random permutations on the set of two-color elements. I
p. 9-32
Legal messages for the GOST R 34.13-2015 block cipher modes
p. 33-47
Pseudorandom sequence generators based on shift registers over finite chain rings
p. 49-65
On a threshold effect for the mean number of solutions of systems of random equations
p. 67-80
Functional circuits defining families of permutations of the space $GF(2)^N$
p. 81-87
Distribution of the length of aperiodicity segment in the graph of independent uniform random mappings composition
p. 89-99
Variance of the additive weight deficit of equiprobable involution on the residue group
p. 101-116

Sommaire du Fascicule no. 4

To the 90th anniversary of Yuriy Ivanovich Medvedev
p. 5-7
Asymptotic properties of the inversion number in colored trees
p. 9-24
Methods of construction of skew linear recurrent sequences with maximal period based on the Galois polynomials factorization in the ring of matrix polynomials
p. 25-51
On the existence of non-negative bases in subgroups of free groups of Schreier varieties
p. 53-65
On the rank of random binary matrix with fixed weights of independent rows
p. 67-76
Characterization of mappings by the nonisometricity property
p. 77-116
List of articles published in volumes 1–10 (2010–2019)
p. 117-134