Geodesic

Sommaire du Fascicule no. 1

On the cryptographic properties of algorithms accompanying the applications of standards GOST R 34.11-2012 and GOST R 34.10-2012
p. 5-38
Criteria of key security
p. 39-56
The structure of Boolean functions spectra
p. 57-70
On the Hamming distance between binary representations of linear recurrent sequences over field $GF(2^k)$ and ring $\mathbb{Z}_{2^n}$
p. 71-82
On the group properties of substitutions defined on the subgroup cosets of finite Abelian group of composite order
p. 83-92
Attacks on digital signature schemes not accounted by the common security definitions, and countermeasures
p. 93-118
Estimates of the number of integers with the special prime factorization
p. 119-142

Sommaire du Fascicule no. 2

On the concept of quantum hashing
p. 7-20
Fault analysis of Kuznyechik
p. 21-34
An attack on $\mathrm{6}$ rounds of Khazad
p. 35-46
Minimizing collisions for quantum hashing
p. 47-52
Optimizing memory cost of multi-scalar multiplication
p. 53-60
Approximate common divisor problem and continued fractions
p. 61-70
Quantum attacks against iterated block ciphers
p. 71-90
On differential properties of a symmetric cryptoalgorithm based on pseudo-dynamic substitutions
p. 91-102
A graph of minimal distances between bent functions
p. 103-110
Quantum random number generator
p. 111-114
Some remarks on the elliptic curve discrete logarithm problem
p. 115-120
A timing attack on CUDA implementations of an AES-type block cipher
p. 121-130
Parsimonious models of high-order Markov chains for evaluation of cryptographic generators
p. 131-142

Sommaire du Fascicule no. 3

The first digit sequence of skew linear recurrence of maximal period over Galois ring
p. 5-18
Spectral criterion for testing hypotheses on random permutations
p. 19-28
Nonlinearity of a class of Boolean functions constructed using significant bits of linear recurrences over the ring $\mathbb Z_{2^n}$
p. 29-46
Diffusion properties of XSLP-ciphers
p. 47-60
The stability of sets of solutions for systems of equations with random distortions
p. 61-72
On a method for constructing low-weight Boolean functions without majorants of the given number of variables
p. 73-92
Discrete functions and sparse systems of discrete equations
p. 93-114
Three approaches to the notion of functions maximally differing from homomorphisms
p. 115-136
Lower estimates of ranks of coordinate sequences of maximal period linear recurrent sequences over the non-trivial Galois ring
p. 137-143

Sommaire du Fascicule no. 4

In memory of Aleksei Sergeevich Kuz'min (1960–2016)
p. 5-6
A review of the password authenticated key exchange protocols vulnerabilities and principles of the SESPAKE protocol construction
p. 7-28
On the approximation of discrete functions by linear functions
p. 29-50
Investigation of some subclasses of multiaffine, bijunctive, weakly positive and weakly negative Boolean functions
p. 51-66
A multivariate Poisson theorem for the number of solutions of random inclusions close to given vectors
p. 67-80
On the asymptotic normality of frequencies of values in the non-equiprobable multi-cyclic random sequence modulo 4
p. 81-94
Weight deficits of involutions and substitutions
p. 95-116
A security proof for key exchange protocols
p. 117-132
On subsequences of Markov sequences
p. 133-142