Paper 2017/061

Short Digital Signatures and ID-KEMs via Truncation Collision Resistance

Tibor Jager and Rafael Kurek

Abstract

Truncation collision resistance is a simple non-interactive complexity assumption that seems very plausible for standard cryptographic hash functions like SHA-3. We describe how this assumption can be leveraged to obtain standard-model constructions of public-key cryptosystems that previously seemed to require a programmable random oracle. This includes the first constructions of identity-based key encapsulation mechanisms (ID-KEMs) and digital signatures over bilinear groups with full adaptive security and without random oracles, where a ciphertext or signature consists of only a single element of a prime-order group. We also describe a generic construction of ID-KEMs with full adaptive security from a scheme with very weak security ("selective and non-adaptive chosen-ID security"), and a similar generic construction for digital signatures.

Metadata
Available format(s)
PDF
Publication info
Preprint. MINOR revision.
Keywords
Identity-based encryptiondigital signaturesrandom oracle modelextremely lossy functionsprovable security
Contact author(s)
tibor jager @ upb de
History
2018-09-03: last of 5 revisions
2017-01-31: received
See all versions
Short URL
https://ia.cr/2017/061
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2017/061,
      author = {Tibor Jager and Rafael Kurek},
      title = {Short Digital Signatures and {ID}-{KEMs} via Truncation Collision Resistance},
      howpublished = {Cryptology {ePrint} Archive, Paper 2017/061},
      year = {2017},
      url = {https://eprint.iacr.org/2017/061}
}
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