Another Look at Generic Groups

Neal Koblitz; Alfred Menezes

Paper 2006/230

Another Look at Generic Groups

Neal Koblitz and Alfred Menezes

Abstract

Starting with Shoup's seminal paper [24], the generic group model has been an important tool in reductionist security arguments. After an informal explanation of this model and Shoup's theorem, we discuss the danger of flaws in proofs. We next describe an ontological difference between the generic group assumption and the random oracle model for hash functions. We then examine some criticisms that have been leveled at the generic group model and raise some questions of our own.

Metadata

Available format(s): PDF
Publication info: Published elsewhere. Also available at http://anotherlook.ca
Contact author(s): ajmeneze @ uwaterloo ca
History: 2011-08-15: last of 2 revisions; 2006-07-13: received; See all versions
Short URL: https://ia.cr/2006/230
License: CC BY

BibTeX

@misc{cryptoeprint:2006/230,
      author = {Neal Koblitz and Alfred Menezes},
      title = {Another Look at Generic Groups},
      howpublished = {Cryptology {ePrint} Archive, Paper 2006/230},
      year = {2006},
      url = {https://eprint.iacr.org/2006/230}
}