Paper 2018/802
Secure Modulo Zero-Sum Randomness as Cryptographic Resource
Masahito Hayashi and Takeshi Koshiba
Abstract
We propose a new cryptographic resource, which we call modulo zero-sum randomness, for several cryptographic tasks. The modulo zero-sum randomness $X_1, \ldots, X_m$ is distributed randomness among $m$ parties, where $X_1, \ldots, X_m$ are independent of each other but $\sum X_i =0$ holds. By using modulo zero-sum randomness, we show that multi-party secure computation for some additively homomorphic functions is efficiently realized without the majority honest nor secure communication channels (but public channel). We also construct secret sharing protocols without secure communication channels. Moreover, we consider a new cryptographic task multi-party anonymous authentication, which is realized by modulo zero-sum randomness. Furthermore, we discuss how to generate modulo zero-sum randomness from some information theoretic assumption. Finally, we give a quantum verification protocol of testing the property of modulo zero-sum randomness.
Note: Thank you for pointing out some latex errors.
Metadata
- Available format(s)
-
PDF
- Category
- Foundations
- Publication info
- Preprint. MINOR revision.
- Keywords
- cryptographic resourcepublic channelmulti-party secure computationsecret sharingauthenticationquantum verification
- Contact author(s)
- tkoshiba @ waseda jp
- History
- 2018-09-06: received
- Short URL
- https://ia.cr/2018/802
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2018/802,
author = {Masahito Hayashi and Takeshi Koshiba},
title = {Secure Modulo Zero-Sum Randomness as Cryptographic Resource},
howpublished = {Cryptology {ePrint} Archive, Paper 2018/802},
year = {2018},
url = {https://eprint.iacr.org/2018/802}
}
