Limit on the addressability of fault-tolerant nanowire decoders

Although prone to fabrication error, the nanowire crossbar is a promising candidate component for next-generation nanometer-scale circuits. In the nanowire crossbar architecture, nanowires are addressed by controlling voltages on the mesowires. For area efficiency, we are interested in the maximum n...

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Bibliographic Details
Main Authors: Ling, Alan C. H., Chee, Yeow Meng
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2009
Subjects:
Online Access:https://hdl.handle.net/10356/91230
http://hdl.handle.net/10220/6038
http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:EBSCO_APH&id=doi:&genre=&isbn=&issn=00189340&date=2009&volume=58&issue=1&spage=60&epage=68&aulast=Yeow&aufirst=Meng%20Chee&auinit=&title=IEEE%20Transactions%20on%20Computers&atitle=Limit%20on%20the%20Addressability%20of%20Fault%2DTolerant%20Nanowire%20Decoders%2E
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Institution: Nanyang Technological University
Language: English
Description
Summary:Although prone to fabrication error, the nanowire crossbar is a promising candidate component for next-generation nanometer-scale circuits. In the nanowire crossbar architecture, nanowires are addressed by controlling voltages on the mesowires. For area efficiency, we are interested in the maximum number of nanowires N(m,e) that can be addressed by m mesowires in the face of up to e fabrication errors. Asymptotically tight bounds on N(m,e) are established in this paper. In particular, it is shown that N(m,e)= Θ(2^m/m^(e+1/2)). Interesting observations are made on the equivalence between this problem and the problem of constructing optimal error-correcting and all unidirectional error-detecting (EC/AUED) codes, superimposed distance codes, pooling designs, and diffbounded set systems. Results in this paper also improve upon those in the EC/AUED code literature.