Paper 2014/179 Original: eprint.iacr.org/2014/179 ↗

Optimal constructions for ID-based one-way-function key predistribution schemes realizing specified communication graphs

Maura B. Paterson
Douglas R. Stinson
Abstract

We study a method for key predistribution in a network of $n$ users where pairwise keys are computed by hashing users' IDs along with secret information that has been (pre)distributed to the network users by a trusted entity. A communication graph $G$ can be specified to indicate which pairs of users should be able to compute keys. We determine necessary and sufficient conditions for schemes of this type to be secure. We also consider the problem of minimizing the storage requirements of such a scheme; we are interested in the total storage as well as the maximum storage required by any user. Minimizing the total storage is NP-hard, whereas minimizing the maximum storage required by a user can be computed in polynomial time.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
History
2014-03-06: last updated
2014-03-06: published
Short URL
https://ia.cr/2014/179
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2014/179,
      author = {Maura B.  Paterson and Douglas R.  Stinson},
      title = {Optimal constructions for ID-based one-way-function key predistribution schemes realizing specified communication graphs},
      howpublished = {Cryptology {ePrint} Archive, Paper 2014/179},
      year = {2014},
      url = {https://eprint.iacr.org/2014/179}
}
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