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Indistinguishability Obfuscation from DDH on 5-linear Maps and Locality-5 PRGs
Indistinguishability Obfuscation 5-linear Maps Local PRG
2016/12/7
When plugging in a candidate PRG with locality-5 (eg, [Goldreich, ECCC 2010, O'Donnell and Witmer, CCC 2014]), we obtain a construction of IO from subexponential DDH on 5-linear maps and LWE. Previous...
Fully Secure and Succinct Attribute Based Encryption for Circuits from Multi-linear Maps
Attribute-based encryption for circuits Full security Multi-linear maps
2016/1/7
We propose new fully secure attribute based encryption (ABE) systems for polynomialsize
circuits in both key-policy and ciphertext-policy flavors. All the previous ABE systems
for circuits were prov...
Exposed faces for decomposable positive linear maps arising from completely positive maps
decomposable positive maps exposed faces product vectors
2011/7/25
Abstract: Let $D$ be a space of $2\times n$ matrices. Then the face of the cone of all completely positive maps from $M_2$ into $M_n$ given by $D$ is an exposed face of the bigger cone of all decompos...
On minimizing the norm of linear maps in Cp-classes
elementary operators Schatten p-classes orthogonality
2009/2/23
In this paper we establish various characterizations of the
global minimum of the map FÃ : U ! IR+ defined by FÃ(X) = kÃ(X)kp,
(1 < p < 1) where à : U ! Cp is a map defin...
On minimizing the norm of linear maps in Cp-classes
elementary operators Schatten p-classes orthogonality '-directional derivative
2009/1/7
In this paper we establish various characterizations of the
global minimum of the map FÃ : U ! IR+ defined by FÃ(X) = kÃ(X)kp,
(1 < p < 1) where à : U ! Cp is a map defin...
Suppose $\mathbf{F}$ is a field different from $\mathbf{F}_{2},$ the field with two elements. Let $M_{n}(\mathbf{F})$ and $S_{n}(\mathbf{{F})}$ be the space of $n\times n$ full matrices and the spac...