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Groups Complexity Cryptology

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Decision and Search in Non-Abelian Cramer-Shoup Public Key Cryptosystem

Delaram Kahrobaei
  • Mathematics Department, New York City College of Technology (CUNY), 300 Jay Street, Brooklyn, NY 11201, USA
  • Doctoral Program in Computer Science, CUNY Graduate Center, 365 Fifth Avenue, New York, NY 10016, USA. , https://wfs.gc.cuny.edu/DKahrobaei/www/
/ Michael Anshel
  • Department of Computer Science, City College of New York; 138th Street and Convent Ave, New York, New York 10031, USA
  • Doctoral Program in Computer Science, CUNY Graduate Center, 365 Fifth Avenue, New York, NY 10016, USA. , http://www-cs.ccny.cuny.edu/~csmma/
Published Online: 2010-03-10 | DOI: https://doi.org/10.1515/GCC.2009.217

A method for non-abelian Cramer-Shoup cryptosystem is presented. The role of decision and search is explored, and the platform of solvable / polycyclic group is suggested. In the process we review recent progress in non-abelian cryptography and post some open problems that naturally arise from this path of research.

Received: 2009-03-29

Revised: 2009-08-17

Published Online: 2010-03-10

Published in Print: 2009-10-01

Citation Information: Groups – Complexity – Cryptology. Volume 1, Issue 2, Pages 217–225, ISSN (Online) 1869-6104, ISSN (Print) 1867-1144, DOI: https://doi.org/10.1515/GCC.2009.217, March 2010

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