Negative databases dimitris tolis

Slide 1

Negative Databases

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Department of Information & Communication Systems Engineering1

Department of Information & Communication Systems Engineering



. ( ) . (tracker) [1,2].

.

.

(Negative DataBases-NDB).



:

-.

() ().

, o .

(negative selection).



1/3Department of Information & Communication Systems Engineering5 : .


2/3Department of Information & Communication Systems Engineering6

.


3/3Department of Information & Communication Systems Engineering7

.


Fernando Esponda [3] [4,5,6].

.

U, .

.

. - (DB - Dataase). - - (UDB Universe-Dataase) .



DB ( ).To UDB DB. :Department of Information & Communication Systems Engineering9 DBU - DB001000010111011100101110


Dont Care * 1/2Department of Information & Communication Systems Engineering10

:U= .DB = {, , }U-DB ={, , , , .....} 248-3= 110.075.314.173 U-DB.

U-DB .


Dont Care * 2/2

, dont care *.

* 0 1 (bits) .

U-DB (NDB).

NDB l- {0, 1, *}. Department of Information & Communication Systems Engineering11



(Prefix algorithm, Randomized algorithm) [4,5] NBD DB.

dont care :

NDB NP-hard .

DBU-DBNDB00000101*1010100*11110111*0100110


NP-hard NDBO NDB, (boolean formula) NDB.

NDB Boolean NP-hard .


Boolean FormulaNDB(x2 ) *0**1(x2 ) *10**(x2 ) *0*11(x1 4) 0*10* 2 510*10


NDB .

:

(Negative Surveys). [7]

. , . Department of Information & Communication Systems Engineering14


. , .

.

.

(insider's attack).Department of Information & Communication Systems Engineering15


[1] Denning, D.E., Denning, P.J., Schwartz, M.D.: The tracker: a threat to statistical database security. ACM Trans. Database Syst. 4(1), 7696 (1979)

[2] Denning, D.E., Schlorer, J.: A fast procedure for finding a tracker in a statistical database. ACM Trans. Database Syst. 5(1), 88102 (1980)

[3] Esponda, F.: Negative representations of information. Ph.D. thesis, University of New Mexico (2005)

[4] F. Esponda, S. Forrest, and P. Helman. Enhancing privacy through negative representations of data. Technical report, University of New Mexico, 2004.



[5] Fernando Esponda, Elena S. Ackley, Stephanie Forrest, and Paul Helman. Online negative databases. In Giuseppe Nicosia, Vincenzo Cutello, Peter J. Bentley, and Jon Timmis, editors, ICARIS, volume 3239 of Lecture Notes in Computer Science, pages 175188. Springer, 2004.

[6] Fernando Esponda, Elena S. Ackley, Paul Helman, Haixia Jia, and Stephanie Forrest. Protecting data privacy through hard-to-reverse negative databases. In Sokratis K. Katsikas, Javier Lopez, Michael Backes, Stefanos Gritzalis, and Bart Preneel, editors, ISC, volume 4176 of Lecture Notes in Computer Science, pages 7284. Springer, 2006.

[7] F. Esponda. Negative surveys. ArXiv Mathematics e-prints, Aug 2006.



Negative databases dimitris tolis

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