MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  1

Download:
pdf | ps
by Olivier Pelletier, Accenture Technology Labs
http://www.crypto.ruhr-uni-bochum.de/Publikationen/texte/dna.ps.gz
Add To MetaCart

Abstract:

The early promises of DNA computing to deliver a massively parallel architecture well-suited to computationally hard problems have so far been largely unkept. Indeed, it is probably fair to say that only toy problems have been addressed experimentally. Recent experimental development on algorithmic self-assembly using DNA tiles seem to oer the most promising path toward a potentially useful application of the DNA computing concept. In this paper, we explore new geometries for algorithmic self-assembly, departing from those previously described in the literature. This enables us to carry out mathematical operations like binary multiplication or cyclic convolution product. We then show how to use the latter operation to implement an attack against the well-known public-key crypto system NTRU.

Citations

415 Molecular computation of solutions of combinatorial problems – Adleman
105 Computer Arithmetic: Algorithms and Hardware Designs – Parhami - 2000
89 Design and self-assembly of two-dimensional DNA crystals – Winfree, Liu, et al. - 1998
86 DNA Solution of hard computational problems – Lipton - 1995
76 Proving theorems by pattern recognition – Wang - 1961
47 Breaking DES using a molecular computer – Boneh, Dunworth, et al. - 1995
45 The program-size complexity of self-assembled squares – Rothemund, Winfree - 2000
43 Logical computation using algorithmic self-assembly of DNA triple-crossover molecules – Mao, LaBean, et al.
41 NTRU: A ring-based public key cryptosystem – Hoffstein, Pipher, et al. - 1998
32 On applying molecular computation to the data encryption standard – Adleman, Rothemund, et al. - 1996
21 Using lateral capillary forces to compute by self-assembly – Rothemund - 2000
11 A Meet-In-The-Middle Attack on an NTRU Private Key – Howgrave-Graham, Silverman, et al. - 2003
2 A DNA Sequence Compiler – Feldkamp, Banzhaf, et al. - 2000
1 et al. New Motifs in DNA Nanotechnology – Seeman - 2001