Matematičeskie voprosy kriptografii, Tome 7 (2016) no. 2, pp. 61-70
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K. D. Zhukov. Approximate common divisor problem and continued fractions. Matematičeskie voprosy kriptografii, Tome 7 (2016) no. 2, pp. 61-70. http://geodesic.mathdoc.fr/item/MVK_2016_7_2_a5/
@article{MVK_2016_7_2_a5,
author = {K. D. Zhukov},
title = {Approximate common divisor problem and continued fractions},
journal = {Matemati\v{c}eskie voprosy kriptografii},
pages = {61--70},
year = {2016},
volume = {7},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MVK_2016_7_2_a5/}
}
TY - JOUR
AU - K. D. Zhukov
TI - Approximate common divisor problem and continued fractions
JO - Matematičeskie voprosy kriptografii
PY - 2016
SP - 61
EP - 70
VL - 7
IS - 2
UR - http://geodesic.mathdoc.fr/item/MVK_2016_7_2_a5/
LA - en
ID - MVK_2016_7_2_a5
ER -
%0 Journal Article
%A K. D. Zhukov
%T Approximate common divisor problem and continued fractions
%J Matematičeskie voprosy kriptografii
%D 2016
%P 61-70
%V 7
%N 2
%U http://geodesic.mathdoc.fr/item/MVK_2016_7_2_a5/
%G en
%F MVK_2016_7_2_a5
We describe two algorithms for computing common divisors of two integers, when one of these integers is known only approximately. We generalize a known method based on the continued fraction technique. In some cases new algorithms overcome the best known algorithm based on Coppersmith's method: not so accurate approximation is reqiured to compute a divisor.