ArcaneVM – A Fully Homomorphic Encryption Brainfuck Virtual Machine

ArcaneVM

ArcaneVM is a virtual machine that can execute instructions encrypted with Fully Homomorphic Encryption . Basically, it's a Brainfuck interpreter that can execute encrypted brainfuck code.

ArcaneVM relies on the nufhe library for its FHE implementation.

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About

Fully Homomorphic Encryption (FHE) is a reletively new encryption technology that allows for computations on encrypted data. This allows us not only to encrypt the inputs but also encrypt the computations themselves. The output is also encrypted and when decrypted gives the plaintext result of the computation.

This is extremely powerful for people who not only have sensitve data, but also have computations that are sensative.

Since the program essentially has zero context on what it is computing, it has to run through every possible branch of the program. On top of this, the underlying encryption schemes that make FHE possible are very coomputationally expensive.

What this means in the context of ArcaneVM and Brainfuck is that the more instructions a program has, and the larger the tape that it is working with, the slower the program is going to become. This is because at every cycle, the VM has to go through every possible instruction on every possible data cell.

As a result, ArcaneVM is very very very slow.

All integers in ArcaneVM are 8 bits.

Example

Execute Brainfuck code

from arcanevm import run

run("++[>+++<-]>>", tape_size=5)

Dependencies

• Python 3
• PyOpenCL
• nufhe

Build

sudo apt install python3-pyopencl

pip3 install -r requirements.txt