Geodesic
On the convergence of iterations for a method of solution of discrete logarithm representation problem by means of rational approximations
Matematičeskie voprosy kriptografii, Tome 1 (2010) no. 4, pp. 111-125 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper contains partial justification of author's method permitting to transform a pair of congruences so that coefficients in these congruences became smaller. It is supposed that this method may be used in a new approach to the discrete logarithm problem. 
@article{MVK_2010_1_4_a5,
     author = {V. E. Tarakanov},
     title = {On the convergence of iterations for a~method of solution of discrete logarithm representation problem by means of rational approximations},
     journal = {Matemati\v{c}eskie voprosy kriptografii},
     pages = {111--125},
     year = {2010},
     volume = {1},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MVK_2010_1_4_a5/}
}
TY  - JOUR
AU  - V. E. Tarakanov
TI  - On the convergence of iterations for a method of solution of discrete logarithm representation problem by means of rational approximations
JO  - Matematičeskie voprosy kriptografii
PY  - 2010
SP  - 111
EP  - 125
VL  - 1
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MVK_2010_1_4_a5/
LA  - ru
ID  - MVK_2010_1_4_a5
ER  - 
%0 Journal Article
%A V. E. Tarakanov
%T On the convergence of iterations for a method of solution of discrete logarithm representation problem by means of rational approximations
%J Matematičeskie voprosy kriptografii
%D 2010
%P 111-125
%V 1
%N 4
%U http://geodesic.mathdoc.fr/item/MVK_2010_1_4_a5/
%G ru
%F MVK_2010_1_4_a5
V. E. Tarakanov. On the convergence of iterations for a method of solution of discrete logarithm representation problem by means of rational approximations. Matematičeskie voprosy kriptografii, Tome 1 (2010) no. 4, pp. 111-125. http://geodesic.mathdoc.fr/item/MVK_2010_1_4_a5/

[1] Khinchin A. Ya., Tsepnye drobi, ONTI, NKTM, M., 1935

[2] Tarakanov V. E., “Novye serii ratsionalnykh approksimatsii i nekotorye ikh primeneniya”, Matem. zametki, 76:2 (2004), 237–257 | MR | Zbl

[3] Tarakanov V. E., “Ob odnom podkhode k resheniyu zadachi diskretnogo logarifmirovaniya s pomoschyu ratsionalnykh approksimatsii”, Trudy po diskretnoi matematike, 10, 2007, 301–314

[4] Tarakanov V. E., “K resheniyu zadachi predstavleniya diskretnogo logarifma chisla v vide summy logarifmov malykh prostykh chisel s pomoschyu ratsionalnykh approksimatsii”, Trudy po diskretnoi matematike, 11, no. 2, 2008, 192–206