Questions tagged [homomorphic-encryption]
Cryptosystems which support computation on encrypted data. They may be partially homomorphic (support for one operation such as + or *), somewhat (or leveled) homomorphic (support for a limited number of two operations) or they may be fully homomorphic (any sequence of + and *).
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“Security Against Covert Adversaries” question
I was reading the paper Security Against Covert Adversaries: Efficient Protocols for Realistic Adversaries by Aumann and Lindell, and had some questions with the protocol for covert OT given errorless ...
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votes
1answer
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How and why does Recrypt function work?
The general aproach presented by Craig Gentry in 2009 to create a fully-homomorphic encryption system is roughly the follow:
Create a scheme that can evaluate some functions (increasing the noise in ...
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Fully Homomorphic Encryption over Integers
On the section 3 of the paper Fully Homomorphic Encryption over the Integers, there is a construction of a somewhat encryption scheme, as follow:
key generation
Choose an odd η-bit integer $p$ in $(...
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1answer
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How to homomorphically and “efficiently” evaluate $$(a_1 + b_1) \cdot c_1 + (a_2 + b_2) \cdot c_2 + \ldots + (a_n + b_n) \cdot c_n$$
Can i evaluate a formula $(a_i + b_i) \cdot c_i$ if i have the encryption of $a_i,b_i,c_i$ respectively using a homomorphic encryption scheme that supports multiplications and additions, supposing ...
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votes
1answer
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Do irrational number contain infinate/every patterns of sequences? [closed]
I guess the question is
"does an 'infinite' number of patterns imply 'every' number of
patterns?"
For instance, if you could quickly calculate the decimal sequence of π, could you not (in ...
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votes
2answers
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Algorithm Design for only Mutual Information Sharing
Bob and Alice each have a bit string they want to keep private. They each want to know what the bitwise AND of their two strings would be without telling the other or anyone else listening to their ...
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votes
2answers
223 views
Auditable encrypted ledger
Consider a cloud-based accounting system that needs access to aggregate information such as an account's balance but doesn't need access to individual transaction amounts in a ledger.
Does there ...
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votes
2answers
438 views
Threshold Fully Homomorphic Cryptosystems
recently, Craig Gentry published the first public key encryption scheme (over plaintext space {0,1}) which is fully homomorphic, meaning that one can efficiently and compactly evaluate AND and XOR on ...
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votes
1answer
548 views
What languages have been successfully cryptographically trapdoored?
An observation associated with asymmetric cryptography is that some functions are (believed to be) easy to perform in one direction but difficult to invert. Furthermore, if there exists some 'trapdoor'...
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2answers
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Can a fully homomorphic encryption be used for oblivious code execution?
After reading this answer a while ago, I took an interest in fully homomorphic encryption. After reading the introduction of Gentry's thesis, I started wondering if his encryption scheme could be used ...
