Geodesic

Sommaire du Fascicule no. 1

Diagnostic tests for discrete functions defined on rings
p. 3-11
Some cardinality estimates for the set of correlation-immune Boolean functions
p. 12-19
Single diagnostic tests for inversion faults of gates in circuits over arbitrary bases
p. 20-30
Estimates of lengths of shortest nonzero vectors in some lattices. I
p. 31-46
Maximally nonlinear functions over finite fields
p. 47-63
On a generalization of class of negative binomial distributions
p. 64-81
On the membership problem for~finite automata over~symmetric groups
p. 82-90
Properties of proper families of Boolean functions
p. 91-102

Sommaire du Fascicule no. 2

Kasim-zade Oktai Muradovich (29.04.1953 – 22.12.2020)
p. 3-5
On closed classes in partial $k$-valued logic that contain all polynomials
p. 6-19
Alphabetic points in compositions and words
p. 20-30
On the existence of special nonlinear invariants for round functions of XSL-ciphers
p. 31-45
Invertible matrices over some quotient rings: identification, generation, and analysis
p. 46-65
On some invariants under the action of an extension of $GA(n,2)$ on the set of Boolean functions
p. 66-85
Completeness criterion with respect to the enumeration closure operator in the three-valued logic
p. 86-99
Some families of closed classes in~$P_k$ defined by additive formulas
p. 100-116
Estimates of lengths of shortest nonzero vectors in some lattices, II
p. 117-140
The limit joint distributions of statistics of four tests of the NIST package
p. 141-154
Curvature of the Boolean majority function
p. 155-165
Admissible and Bayes decisions with fuzzy-valued losses
p. 166-174

Sommaire du Fascicule no. 3

On scatter properties of modular addition operation over imprimitivity systems of the translation group of the binary vector space
p. 3-40
On a class of irregular languages
p. 41-45
On Synthesis of Reversible Circuits Consisting of NOT, CNOT and 2-CNOT Gates with Small Number of Additional Inputs
p. 46-54
Continuality of classes of functions in multivalued logic with minimal logarithmic growth rate
p. 54-63
On the asymptotic normality conditions for the number of repetitions in a stationary random sequence
p. 64-78
Criteria for maximal nonlinearity of a function over a finite field
p. 79-91
The limit joint distributions of statistics of three tests of the NIST package
p. 92-106
Finding periods of Zhegalkin polynomials
p. 107-120
On the ``tree'' structure of natural numbers
p. 121-141

Sommaire du Fascicule no. 4

Some classes of easily testable circuits in the Zhegalkin basis
p. 3-10
Multi-dimensional Kronecker sequences with a small number of gap lengths
p. 11-18
Asymptotic local probabilities of large deviations for branching process in random environment with geometric distribution of descendants
p. 19-31
On the concentration of the independence numbers of random hypergraphs
p. 32-46
On implementation of some systems of elementary conjunctions in the class of separating contact circuits
p. 47-60
On distance-regular graphs $\Gamma$ of diameter 3 for which $\Gamma_3$ is a triangle-free graph
p. 61-67
Decomposition of polynomials using the shift-composition operation
p. 68-82
Local limit theorem for the number of empty cells in a scheme of random equiprobable allocations
p. 83-93
On implementation of Boolean functions by contact circuits of minimal uniform width
p. 94-109
Nonlinearity of functions over finite fields
p. 110-131
Limit theorem for a smoothed version of the spectral test for testing the equiprobability of a binary sequence
p. 132-140
On properties of multiaffine predicates on a finite set
p. 141-152
On linear disjunctive decomposition of $p$-logic function into a product of functions
p. 153-171