ACM Home Page
Please provide us with feedback. Feedback
How discreet is the discrete log?
Full text PdfPdf (482 KB)
Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the fifteenth annual ACM symposium on Theory of computing table of contents
Pages: 413 - 420  
Year of Publication: 1983
ISBN:0-89791-099-0
Authors
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 1,   Downloads (12 Months): 17,   Citation Count: 3
Additional Information:

abstract   references   cited by   index terms   collaborative colleagues  

Tools and Actions: Request Permissions Request Permissions    Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/800061.808772
What is a DOI?

ABSTRACT

Blum and Micali [4] showed how to hide one bit using the discrete logarithm function. In this paper we show how to hide c•loglog p bits for any constant c, where p is the modulus.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
L. Adleman, K. Manders, G. Miller, "On Taking Roots in Finite Fields", 18th FOCS (1977), 175-178.
 
2
L. Adleman, "A Subexponential Algorithm for the Discrete Logarithm Problem with Applications to Cryptography", 20th FOCS (1979), 55-60.
 
3
E. Berlekamp, "Factoring Polynomials Over Large Finite Fields" Mathematics of Computation, 24. (1970), 713-735.
 
4
M. Blum & S. Micali, "How To Generate Cryptographically Strong Sequences Of Pseudo Random Bits", 23rd FOCS (1982),112-117.
 
5
W. Diffie & M. Hellman, "New Directions in Cryptography", IEEE Transactions on Information Theory, IT-22, 6 (1976), 644-654.
 
6
7
 
8
K. Ireland & M. Rosen, Elements of Number Theory, Bogden & Quigly, Inc., New York, 1972.
 
9
R. Lipton, "How to Cheat at Mental Poker", Unpublished Manuscript, 1979.
 
10
S. Pohlig & M. Hellman, "An Improved Algorithm for Computing Logarithms over GF(p) and Its Cryptographic Significance", IEEE Transactions on Information Theory, IT-24, 1 (1978), 106-110.
 
11
M. Rabin, "Probabilistic Algorithms in Finite Fields", SIAM Journal of Computing, 9 No. 2, (May 1980), 273-280.
 
12
A. Shamir, R. Rivest, L Adleman, "Mental Poker", MIT Technical Report (Feb. 1979).
 
13
A. Yao, "Theory and Applications of Trapdoor Functions", 23rd FOCS (1982), 80-91.
 
14
A. Yao, "Protocols for Secure Computations", 23rd FOCS (1982), 160-164.


Collaborative Colleagues:
Douglas L. Long: colleagues
Avi Wigderson: colleagues