Geodesic

Sommaire du Fascicule no. 1

Editorial foreword
On, algorithmic constructions of isogenies of elliptic curves over finite fields and their applications
p. 7-22
On application of class groups of ideals of quadratic fields to the construction of public key cryptosystems
p. 23-54
Properties of graphs of orbitals for overgroups of the Jevons group
p. 55-83
Cycle structure of the elements of centralizers of permutations from the symmetric group
p. 85-100
The statistical test of the empty cells type
p. 101-108

Sommaire du Fascicule no. 2

Computation of distributions of the numbers of components and cyclic points for random mappings
p. 5-18
Conditions of limit uniformity of shift register state distribution
p. 19-29
Reconstruction of linear recurrent sequence over prime residue ring from its image
p. 31-56
Free shift registers. IV
p. 57-92
Doubly transitive XLS-families of permutations
p. 93-103

Sommaire du Fascicule no. 3

Linear pseudo-Boolean inequalities
p. 5-18
On classes of solvable rings
p. 19-26
On the limit behaviour of the number of solutions for compatible systems of equations with random selection of unknowns
p. 27-43
On the conplexity of joint realization of Boolean functions regular systems in the DNF basis
p. 45-65
Methods of solution of systems of quasisymmetric equations with applications to the analysis of clock-controlled generators
p. 67-91
Properties of random systems of discrete equations with nonuniform sampling of unknowns
p. 93-117

Sommaire du Fascicule no. 4

An analysis of some key distribution public systems based on non-abelian groups
p. 5-22
A construction of algebraic cryptosystem over the quasigroup ring
p. 23-32
Exponential sums method for frequencies of most significant bit $r$-patterns in linear recurrent sequences over $\mathbb{Z}_{2^n}$
p. 33-62
Poisson type theorems for the number of solutions of random inclusions
p. 63-84
A family of sequences over the $8$-element ring with low correlation
p. 85-109
On the convergence of iterations for a method of solution of discrete logarithm representation problem by means of rational approximations
p. 111-125