Paper 2003/057

Secure Multiplication of Shared Secrets in the Exponent

Mario Di Raimondo and Rosario Gennaro

Abstract

We present a new protocol for the following task. Given tow secrets a,b shared among n players, compute the value g^{ab}. The protocol uses the generic BGW approach for multiplication of shared secrets, but we show that if one is computing ``multiplications in the exponent'' the polynomial randomization step can be avoided (assuming the Decisional Diffie-Hellman Assumption holds). This results in a non-interactive and more efficient protocol.

Metadata
Available format(s)
PS
Category
Cryptographic protocols
Publication info
Published elsewhere. Unknown where it was published
Keywords
secret sharingmultiparty computation
Contact author(s)
rosario @ watson ibm com
History
2003-04-10: revised
2003-03-31: received
See all versions
Short URL
https://ia.cr/2003/057
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2003/057,
      author = {Mario Di Raimondo and Rosario Gennaro},
      title = {Secure Multiplication of Shared Secrets in the Exponent},
      howpublished = {Cryptology {ePrint} Archive, Paper 2003/057},
      year = {2003},
      url = {https://eprint.iacr.org/2003/057}
}
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