The discrete logarithm problem over prime fields: the safe prime case. The Smart attack, non-canonical lifts and logarithmic derivatives
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 4, pp. 1115-1124
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
We connect the discrete logarithm problem over prime fields in the safe prime case to the logarithmic derivative.
We connect the discrete logarithm problem over prime fields in the safe prime case to the logarithmic derivative.
DOI :
10.21136/CMJ.2018.0128-17
Classification :
11A07, 11T71, 11Y16, 14G50, 68Q25, 94A60
Keywords: discrete logarithm; Hensel lift; group extension
Keywords: discrete logarithm; Hensel lift; group extension
@article{10_21136_CMJ_2018_0128_17,
author = {Gadiyar, Gopalakrishna Hejmadi and Padma, Ramanathan},
title = {The discrete logarithm problem over prime fields: the safe prime case. {The} {Smart} attack, non-canonical lifts and logarithmic derivatives},
journal = {Czechoslovak Mathematical Journal},
pages = {1115--1124},
year = {2018},
volume = {68},
number = {4},
doi = {10.21136/CMJ.2018.0128-17},
mrnumber = {3881901},
zbl = {07031702},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0128-17/}
}
TY - JOUR AU - Gadiyar, Gopalakrishna Hejmadi AU - Padma, Ramanathan TI - The discrete logarithm problem over prime fields: the safe prime case. The Smart attack, non-canonical lifts and logarithmic derivatives JO - Czechoslovak Mathematical Journal PY - 2018 SP - 1115 EP - 1124 VL - 68 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0128-17/ DO - 10.21136/CMJ.2018.0128-17 LA - en ID - 10_21136_CMJ_2018_0128_17 ER -
%0 Journal Article %A Gadiyar, Gopalakrishna Hejmadi %A Padma, Ramanathan %T The discrete logarithm problem over prime fields: the safe prime case. The Smart attack, non-canonical lifts and logarithmic derivatives %J Czechoslovak Mathematical Journal %D 2018 %P 1115-1124 %V 68 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0128-17/ %R 10.21136/CMJ.2018.0128-17 %G en %F 10_21136_CMJ_2018_0128_17
Gadiyar, Gopalakrishna Hejmadi; Padma, Ramanathan. The discrete logarithm problem over prime fields: the safe prime case. The Smart attack, non-canonical lifts and logarithmic derivatives. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 4, pp. 1115-1124. doi: 10.21136/CMJ.2018.0128-17
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