ScienceGate
Advanced Search
Author Search
Journal Finder
Blog
Sign in / Sign up
ScienceGate
Search
Author Search
Journal Finder
Blog
Sign in / Sign up
An Experiment of Number Field Sieve over GF(p) of Low Hamming Weight Characteristic
Lecture Notes in Computer Science - Coding and Cryptology
◽
10.1007/978-3-642-20901-7_11
◽
2011
◽
pp. 191-200
◽
Cited By ~ 3
Author(s):
Kenichiro Hayasaka
◽
Tsuyoshi Takagi
Keyword(s):
Number Field
◽
Hamming Weight
◽
Weight Characteristic
◽
Number Field Sieve
Download Full-text
Related Documents
Cited By
References
Cryptology Beyond Shannon's Information Theory: Preparing for When the Enemy Knows the Systemm with Technical Focus on Number Field Sieve Cryptanalysis Algorithms for Most Efficient Prime Factorization on Composites
SSRN Electronic Journal
◽
10.2139/ssrn.2553544
◽
2013
◽
Cited By ~ 1
Author(s):
Yogesh Malhotra
Keyword(s):
Information Theory
◽
Number Field
◽
Prime Factorization
◽
Number Field Sieve
Download Full-text
Analysis and Improvements to the Special Number Field Sieve for Discrete Logarithm Problems
2021 IEEE 5th International Conference on Cryptography, Security and Privacy (CSP)
◽
10.1109/csp51677.2021.9357589
◽
2021
◽
Author(s):
Liwei Liu
◽
Maozhi Xu
◽
Guoqing Zhou
Keyword(s):
Number Field
◽
Discrete Logarithm
◽
Number Field Sieve
◽
Special Number
Download Full-text
A Kilobit Special Number Field Sieve Factorization
Advances in Cryptology – ASIACRYPT 2007 - Lecture Notes in Computer Science
◽
10.1007/978-3-540-76900-2_1
◽
2007
◽
pp. 1-12
◽
Cited By ~ 24
Author(s):
Kazumaro Aoki
◽
Jens Franke
◽
Thorsten Kleinjung
◽
Arjen K. Lenstra
◽
Dag Arne Osvik
Keyword(s):
Number Field
◽
Number Field Sieve
◽
Special Number
Download Full-text
Computing a square root for the number field sieve
Lecture Notes in Mathematics - The development of the number field sieve
◽
10.1007/bfb0091540
◽
1993
◽
pp. 95-102
◽
Cited By ~ 10
Author(s):
Jean-Marc Couveignes
Keyword(s):
Number Field
◽
Square Root
◽
Number Field Sieve
Download Full-text
AVX-512-based Parallelization of Block Sieving and Bucket Sieving for the General Number Field Sieve Method
10.5220/0010515200002998
◽
2021
◽
Author(s):
Pritam Pallab
◽
Abhijit Das
Keyword(s):
Number Field
◽
Sieve Method
◽
Number Field Sieve
◽
General Number
Download Full-text
Extended Tower Number Field Sieve: A New Complexity for the Medium Prime Case
Advances in Cryptology – CRYPTO 2016 - Lecture Notes in Computer Science
◽
10.1007/978-3-662-53018-4_20
◽
2016
◽
pp. 543-571
◽
Cited By ~ 64
Author(s):
Taechan Kim
◽
Razvan Barbulescu
Keyword(s):
Number Field
◽
Number Field Sieve
◽
Prime Case
Download Full-text
The Tower Number Field Sieve
Advances in Cryptology – ASIACRYPT 2015 - Lecture Notes in Computer Science
◽
10.1007/978-3-662-48800-3_2
◽
2015
◽
pp. 31-55
◽
Cited By ~ 25
Author(s):
Razvan Barbulescu
◽
Pierrick Gaudry
◽
Thorsten Kleinjung
Keyword(s):
Number Field
◽
Number Field Sieve
Download Full-text
Strategies in Filtering in the Number Field Sieve
Lecture Notes in Computer Science - Algorithmic Number Theory
◽
10.1007/10722028_11
◽
2000
◽
pp. 209-231
◽
Cited By ~ 16
Author(s):
Stefania Cavallar
Keyword(s):
Number Field
◽
Number Field Sieve
Download Full-text
Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the gaussian integer method
Mathematics of Computation
◽
10.1090/s0025-5718-02-01482-5
◽
2002
◽
Vol 72
(242)
◽
pp. 953-968
◽
Cited By ~ 42
Author(s):
Antoine Joux
◽
Reynald Lercier
Keyword(s):
Number Field
◽
Gaussian Integer
◽
Discrete Logarithms
◽
Number Field Sieve
◽
General Number
◽
Prime Fields
Download Full-text
A General Polynomial Selection Method and New Asymptotic Complexities for the Tower Number Field Sieve Algorithm
Advances in Cryptology – ASIACRYPT 2016 - Lecture Notes in Computer Science
◽
10.1007/978-3-662-53887-6_2
◽
2016
◽
pp. 37-62
◽
Cited By ~ 14
Author(s):
Palash Sarkar
◽
Shashank Singh
Keyword(s):
Number Field
◽
Selection Method
◽
Number Field Sieve
◽
General Polynomial
Download Full-text
Sign in / Sign up
Close
Export Citation Format
Close
Share Document
Close