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# RSA example 
# 
# Bastiaan Quast
# International Telecommunication Union
# [email protected]

# Two people - Alice and Bob - want to communicate privately
# A third person Eve wants to read the private communication
Alice = list()
Bob   = list()

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# Paillier cryptosystem in R
# Bastiaan Quast

# install and load the GNU Multiple Percision Arithmetic R package 
install.packages('gmp')
library(gmp)

# define parameters
# p and q are private to the Inspector
Inspector = list()

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# Author: Bill Buchanan
# source: https://asecuritysite.com/encryption/pal_ex

from random import randint
import sys

def gcd(a,b):
    """Compute the greatest common divisor of a and b"""
    while b > 0:
        a, b = b, a % b

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# define some functions

# modular exponentiation
# source: https://gist.github.com/ttezel/4635562
function result = modexp (x, y, n)
    %anything raised to 0th power = 1 so return 1
    if (y == 0)
        result = 1;
        return;
    end

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# adapted from: https://asecuritysite.com/encryption/lwe4

import sys
import numpy as np
import random
import math

nvals=20
B=[]
e=[]

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import numpy as np
import sys

def gen_poly(n,q):
    global xN_1
    l = 0 #Gamma Distribution Location (Mean "center" of dist.)
    poly = np.floor(np.random.normal(l,size=(n)))
    while (len(poly) != n):
        poly = np.floor(np.random.normal(l,size=(n)))
        poly = np.floor(p.polydiv(poly,xN_1)[1]%q)

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# contructor function
tensor <- function(x) {
  # check that it's numeric
  if (!is.numeric(x)) stop("X must be numeric")
  
  # create the array and change the class
  y <- structure(array(x), class = "tensor")
  
  # add attributes
  attributes(y)$creators <- list()

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# logsumexp
logsumexp <- function (x) {
  y = max(x)
  y + log(sum(exp(x - y)))
}

# softmax
softmax <- function (x) {
  exp(x - logsumexp(x))
}

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# attention.R
# Bastiaan Quast
# [email protected]

# based on:
# https://machinelearningmastery.com/the-attention-mechanism-from-scratch/

# encoder representations of four different words
word_1 = matrix(c(1,0,0), nrow=1)
word_2 = matrix(c(0,1,0), nrow=1)

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# HE illustrated primer

# define some parameters (small as an example)
# N.B. these parameters are not secure, they are completely insecure
n =   4
d =   2^n
t =   7
q = 874

# load library to create polynomials