Geodesic

Sommaire du Fascicule no. 1

On the weights of Boolean functions representable by $2$-CNF or $3$-CNF
p. 5-26
Legal messages for some message authentication functions in block ciphers
p. 27-46
Parametric models of $r$-permutations and $r$-partitions and their probabilistic-statistical analysis
p. 47-64
Rate of convergence to the uniform distribution for autoregression scheme on the finite Abelian group
p. 65-74
Controlled multinomial allocation scheme
p. 75-88
On an approach to the expansion of irrational numbers
p. 89-106
Methods of solution of discrete equations systems over the ring of integers based on the construction of graphs of solutions
p. 107-126

Sommaire du Fascicule no. 2

Information on Symposium CTCrypt'2017
p. 5-6
On construction of correlation-immune functions via minimal functions
p. 7-22
On cryptographic properties of the $CVV$ and $PVV$ parameters generation procedures in payment systems
p. 23-46
The permutation group insight on the diffusion property of linear mappings
p. 47-58
Group properties of block ciphers of the Russian standards GOST R 34.11-2012 and GOST R 34.12-2015
p. 59-70
Equidistant filters based on skew ML-sequences over fields
p. 71-86
Approximate common divisor problem and lattice sieving
p. 87-98
On quantiles of minimal codeword weights of random linear codes over $\mathbf{F}_p$
p. 99-102
Poisson approximation for the number of non-decreasing runs in Markov chains
p. 103-116
On software implementation of Kuznyechik on Intel CPUs
p. 117-127

Sommaire du Fascicule no. 3

On the security properties of Russian standardized elliptic curves
p. 5-32
On the use of conjugacy of substitutions in determining the key in Feistel networks
p. 33-44
New estimates for the variational distance between two distributions of a sample
p. 45-60
Periodic properties of multidimensional polynomial generator over the Galois ring. I
p. 61-98
On the sets of images of $k$-fold iteration of uniform random mapping
p. 99-108
Permutation homomorphisms of block ciphers and ${\otimes _{\mathbf{W}}}$-Markovian property
p. 109-126
Minimal consistent systems of local probabilistic relations for AES-like ciphers
p. 127-142

Sommaire du Fascicule no. 4

Application of non-associative structures to the construction of public key distribution algorithms
p. 5-30
Parameters of a class of functions over a finite field
p. 31-52
Conditional limit theorem for the near critical branching processes with final type of particles
p. 53-72
Application of the lattice theory to the analysis of digital signature schemes
p. 73-84
The number of maximal period polynomial mappings over the Galois fields of odd characteristics
p. 85-100
Moments of the weight deficit of a random equiprobable involution acting on a vector space over a field of two elements
p. 101-124
Two methods of estimation of Boolean bijunctive function weights
p. 125-142