Molecular Computation Based on Tile Assembly Model: Modular-Multiplication and Modular-Square over Finite Field GF(2N)

2016 IEEE 18th International Conference on High Performance Computing and Communications; IEEE 14th International Conference on Smart City; IEEE 2nd International Conference on Data Science and Systems (HPCC/SmartCity/DSS) ◽

10.1109/hpcc-smartcity-dss.2016.0143 ◽

2016 ◽

Author(s):

Yongnan Li ◽

Limin Xiao

Keyword(s):

Finite Field ◽

Modular Multiplication ◽

Assembly Model ◽

Tile Assembly Model ◽

Molecular Computation ◽

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Parallel molecular computation of modular-multiplication based on tile assembly model

2013 International Conference on Parallel and Distributed Systems ◽

10.1109/icpads.2013.115 ◽

2013 ◽

Author(s):

Yongnan Li ◽

Limin Xiao ◽

Li Ruan

Keyword(s):

Modular Multiplication ◽

Assembly Model ◽

Tile Assembly Model ◽

Molecular Computation ◽

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Arithmetic computation in the tile assembly model: Inversion over finite field GF(2n)

2014 IEEE Conference on Computational Intelligence in Bioinformatics and Computational Biology ◽

10.1109/cibcb.2014.6845509 ◽

2014 ◽

Author(s):

Yongnan Li ◽

Limin Xiao

Keyword(s):

Finite Field ◽

Assembly Model ◽

Tile Assembly Model ◽

Model Inversion ◽

Tile Assembly ◽

Arithmetic Computation

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A tile assembly model to calculate point-multiplication on conic curves over finite field GF(2n)

2020 IEEE Intl Conf on Parallel & Distributed Processing with Applications, Big Data & Cloud Computing, Sustainable Computing & Communications, Social Computing & Networking (ISPA/BDCloud/SocialCom/SustainCom) ◽

10.1109/ispa-bdcloud-socialcom-sustaincom51426.2020.00032 ◽

2020 ◽

Author(s):

Yongnan Li

Keyword(s):

Finite Field ◽

Assembly Model ◽

Tile Assembly Model ◽

Point Multiplication ◽

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The Two-Handed Tile Assembly Model Is Not Intrinsically Universal

Automata, Languages, and Programming - Lecture Notes in Computer Science ◽

10.1007/978-3-642-39206-1_34 ◽

2013 ◽

pp. 400-412 ◽

Author(s):

Erik D. Demaine ◽

Matthew J. Patitz ◽

Trent A. Rogers ◽

Robert T. Schweller ◽

Scott M. Summers ◽

...

Keyword(s):

Assembly Model ◽

Tile Assembly Model ◽

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Fractal Dimension of Assemblies in the Abstract Tile Assembly Model

10.1007/978-3-030-87993-8_8 ◽

2021 ◽

pp. 116-130

Author(s):

Daniel Hader ◽

Matthew J. Patitz ◽

Scott M. Summers

Keyword(s):

Fractal Dimension ◽

Assembly Model ◽

Tile Assembly Model ◽

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Exponential replication of patterns in the signal tile assembly model

Natural Computing ◽

10.1007/s11047-014-9431-z ◽

2014 ◽

Vol 14 (2) ◽

pp. 265-278 ◽

Author(s):

Alexandra Keenan ◽

Robert Schweller ◽

Xingsi Zhong

Keyword(s):

Assembly Model ◽

Tile Assembly Model ◽

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Hierarchical self assembly of patterns from the Robinson tilings: DNA tile design in an enhanced Tile Assembly Model

Natural Computing ◽

10.1007/s11047-011-9268-7 ◽

2011 ◽

Vol 11 (2) ◽

pp. 323-338 ◽

Author(s):

Jennifer E. Padilla ◽

Wenyan Liu ◽

Nadrian C. Seeman

Keyword(s):

Self Assembly ◽

Assembly Model ◽

Tile Assembly Model ◽

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Time Complexity of Computation and Construction in the Chemical Reaction Network-Controlled Tile Assembly Model

Lecture Notes in Computer Science - DNA Computing and Molecular Programming ◽

10.1007/978-3-319-43994-5_11 ◽

2016 ◽

pp. 165-182 ◽

Author(s):

Nicholas Schiefer ◽

Erik Winfree

Keyword(s):

Chemical Reaction ◽

Time Complexity ◽

Reaction Network ◽

Chemical Reaction Network ◽

Assembly Model ◽

Tile Assembly Model ◽

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One-Time-Pads Encryption in the Tile Assembly Model

Journal of Computational and Theoretical Nanoscience ◽

10.1166/jctn.2010.1430 ◽

2010 ◽

Vol 7 (5) ◽

pp. 848-855 ◽

Author(s):

Zhihua Chen ◽

Jin Xu

Keyword(s):

Assembly Model ◽

Tile Assembly Model ◽

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DNA tile assembly model for 0–1 knapsack problem

2010 IEEE Fifth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA) ◽

10.1109/bicta.2010.5645332 ◽

2010 ◽

Author(s):

Yanfeng Wang ◽

Weili Lu ◽

Xuncai Zhang ◽

Guangzhao Cui

Keyword(s):

Knapsack Problem ◽

Assembly Model ◽

Tile Assembly Model ◽

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