Multilinear Maps and Possible Applications
نویسنده
چکیده
In this research, we will do a survey on multilinear maps and analyze some parameters in the recent implementations. The student will compare the two implementations, in particular their similarities and improvements made by the more recent work. The student will then analyze some possible applications of multilinear maps for cryptography.
منابع مشابه
A Primer on Cryptographic Multilinear Maps and Code Obfuscation
The construction of cryptographic multilinear maps and a general-purpose code obfuscator were two long-standing open problems in cryptography. It has been clear for a number of years that constructions of these two primitives would yield many interesting applications. This thesis describes the Coron-Lepoint-Tibouchi candidate construction for multilinear maps, as well as new candidates for code...
متن کاملNew Multilinear Maps from CLT13 with Provable Security Against Zeroizing Attacks
We devise the first weak multilinear map model for CLT13 multilinear maps (Coron et al., CRYPTO 2013) that captures all known classical polynomial-time attacks on the maps. We then show important applications of our model. First, we show that in our model, several existing obfuscation and order-revealing encryption schemes, when instantiated with CLT13 maps, are secure against known attacks und...
متن کاملNew Multilinear Maps from CLT13 with Provable Security Against Zeroizing Attacks
We devise the first weak multilinear map model for CLT13 multilinear maps (Coron et al., CRYPTO 2013) that captures all known classical polynomial-time attacks on the maps. We then show important applications of our model. First, we show that in our model, several existing obfuscation and order-revealing encryption schemes, when instantiated with CLT13 maps, are secure against known attacks und...
متن کاملMultilinear forms which are products of linear forms
The conditions under which, multilinear forms (the symmetric case and the non symmetric case),can be written as a product of linear forms, are considered. Also we generalize a result due to S.Kurepa for 2n-functionals in a group G.
متن کاملMultilinear Maps Using a Variant of Ring-LWE
GGH13, CLT13 and GGH15 of multilinear maps suffer from zeroizing attacks. In this paper, we present a new construction of multilinear maps using a variant of ring-LWE (vRLWE). Furthermore, we also present two new variants of vRLWE, which respectively support the applications of multipartite key exchange and witness encryption. At the same time, we also present a new variant of GGH13 using matri...
متن کامل