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Generic Hardness of Inversion on Ring and Its Relation to Self-Bilinear Map
MCDH unbalanced modulus
2018/5/22
In this paper, we study the generic hardness of the inversion problem on a ring, which is a problem to compute the inverse of a given prime cc by just using additions, subtractions and multiplications...
Attribute-Based Signatures for Circuits from Bilinear Map
attribute-based signatures Groth-Sahai proofs Groth-Ostrovsky-Sahai proofs
2016/3/7
In attribute-based signatures, each signer receives a signing key from the authority, which
is associated with the signer’s attribute, and using the signing key, the signer can issue a signature
on ...
Self-bilinear Map on Unknown Order Groups from Indistinguishability Obfuscation and Its Applications
self-bilinear map indistinguishability obfuscation multilinear map
2016/1/4
A self-bilinear map is a bilinear map where the domain and target groups are identical. In
this paper, we introduce a self-bilinear map with auxiliary information which is a weaker variant
of a self...
Self-bilinear Map from One Way Encoding System and Indistinguishability Obfuscation
Encoding System ndistinguishability Obfuscation
2015/12/24
The bilinear map whose domain and target sets are identical is called the self-bilinear map. Original self-bilinear maps are defined over cyclic groups. This brings a lot of limitations to construct s...
Supporting Non-membership Proofs with Bilinear-map Accumulators
Non-membership Proofs Bilinear-map Accumulators RSA accumulator
2009/6/11
In this short note, we present an extension of Nguyen’s bilinear-map based accumulator scheme [8]
to support non-membership witnesses and corresponding non-membership proofs, i.e., cryptographic
pro...
Multiparty Key Agreement using Bilinear Map
Multiparty Key Agreement Authentication Bilinear Map Weil Pairing
2008/5/21
A key agreement protocol is a cryptographical primitive which allows participants to share a common secret key via insecure channel. In particular, a multiparty key agreement protocol is a key agreeme...