Geodesic

Sommaire du Fascicule no. 1

A structure of the nearest neighbors collective in~a~family of partitions of a finite set
p. 5-15
A note on the properties of associated Boolean functions of quadratic APN functions
p. 16-21
Asymptotically optimal in unreliability circuits in~the~basis~consisting of the Webb function in $P_3$ under~faults of type $2$ at the outputs of elements
p. 22-29
Theoretically effective asymptotically optimal universal coding of partially defined sources
p. 30-56
The number of labeled tetracyclic series-parallel~blocks
p. 57-61
Vertex decomposition to calculate the network probabilistic connectivity
p. 62-86
A computation of the shortest paths in optimal two-dimensional circulant networks
p. 87-100
On generic NP-completeness of~the~problem of~Boolean~circuits satisfiability
p. 101-107
A method for bi-decomposition of partial Boolean functions
p. 108-116
Concomitant clusters structure creating by Hammersley--Leath--Alexandrowichz algorithm for~percolation cluster generating
p. 117-127

Sommaire du Fascicule no. 2

On the asymptotic normality of the frequencies of~letters in a multicyclic sequence
p. 5-15
One-to-one correspondense between proper families of~Boolean functions and unique sink orientations of~cubes
p. 16-21
On the distribution of orders of Frobenius action on $\ell$-torsion of abelian surfaces
p. 22-33
On the stabilizer of a column in a matrix group over a polynomial ring
p. 34-42
Distinguishing attacks on block ciphers by~differentials of two-block texts
p. 43-62
Development of a method for hiding private data for~a~blockchain-based tender system
p. 63-81
Constructing all nonisomorphic supergraphs with isomorphism rejection
p. 82-92
On generic complexity of the problem of~representation of natural numbers by~sum~of~two~squares
p. 93-99
Associative memory based on cellular neural networks with bipolar stepwise activation function
p. 100-108
On the meaning of works by V. M. Khrapchenko
p. 109-124

Sommaire du Fascicule no. 3

On images and pre-images in a graph of the composition of independent uniform random mappings
p. 5-17
Metrical properties of the set of bent functions in view of duality
p. 18-34
On metric complements and metric regularity in finite metric spaces
p. 35-45
On possibility of using convolutional neural networks for creating universal attacks on iterative block~ciphers
p. 46-56
Selfish mining strategy elaboration
p. 57-77
Data storage security and full disk encryption
p. 78-97
About the reliability of logic circuits in all complete bases with three-input elements and failures of zero type on their outputs
p. 98-107
A set of families of analytically described triple loop networks defined by a parameter
p. 108-119
On generic complexity of the existential theories
p. 120-126

Sommaire du Fascicule no. 4

On security of the SESPAKE protocol
p. 5-41
Cryptanalysis of an asymmetric cipher on~Boolean~functions
p. 42-50
Authentication encryption cryptosystem with~derived~one-time~keys
p. 51-61
Problems in theory of cryptanalytical invertibility of finite automata
p. 62-71
On some properties of the Schur~--- Hadamard product for linear codes and their applications
p. 72-86
Enumeration of labeled Eulerian pentacyclic graphs
p. 87-92
The chromaticity of the join of tree and null graph
p. 93-101
Automatic generation of hash functions for~program~code~obfuscation
p. 102-117
On generic complexity of the subset sum problem for~semigroups of~integer matrices
p. 118-126