Paillier_stats_on_r Namespace Reference

Functions
	avg_curve_mod_k_by_r_value (t_pix_enc, vector_r_values, n, size_vec_r, p, q)
	According to r value.
	avg_curve_mod_k_by_r_value_inv (t_pix_enc, vector_r_values, n, size_vec_r, p, q)
	This function calculates and plots the average curve of encrypted pixel values modulo k by r value for inverse encryption.
	avg_curve_mod_k_by_pixel_value (t_pix_enc, vector_r_values, n, size_vec_r, p, q, inverse)
	According to initial pixel value.
	avg_curve_mod_2_by_pixel_value (t_pix_enc, vector_r_values, n, size_vec_r, title, inverse)
	According to initial pixel value with differents modulo.
	avg_curve_mod_4_by_pixel_value (t_pix_enc, vector_r_values, n, size_vec_r, title, inverse)
	This function calculates and plots the average curve of encrypted pixel values modulo 4 by initial pixel value.
	avg_curve_mod_k_by_pixel_value_in_common (t_pix_enc, t_pix_inv_enc, vector_r_values, n, size_vec_r, p, q)
	According to initial pixel value, with different modulo, with common values where there is no r value for modulo k = 0.
	avg_curve_mod_k_by_pixel_value_and_lessthan_m (t_pix_enc, vector_r_values, n, size_vec_r, p, q, m, inverse)
	This function calculates and plots the average curve of encrypted pixel values modulo k by initial pixel value and less than 2^m.
	main ()
	The main function that calls other functions to calculate and plot average curves of encrypted pixel values.

Variables
	f_pix = open("results_pix_p3q83nbR164.txt", "r")
	Initialisation, get data.
int	p = 3
int	q = 83
	lines_pix = f_pix.readlines()
list	t_pix_avg = []
list	count_pix = []
	n = int(lines_pix[0])
	size_vec_r = int(lines_pix[1])
list	vector_r_values = []
list	t_pix_enc = []
int	line_index = 2
	r_value = np.uint64(lines_pix[line_index].strip())
list	t_pix_enc_row = []
	pix_value = np.uint16(lines_pix[line_index].strip())
list	t_pix_enc_inv = []
	Curves.
list	t_pix_enc_inv_row = []
	x = np.invert(np.array(t_pix_enc[i][j], dtype=np.uint16))

Function Documentation

avg_curve_mod_2_by_pixel_value()

Paillier_stats_on_r.avg_curve_mod_2_by_pixel_value	(		t_pix_enc,
			vector_r_values,
			n,
			size_vec_r,
			title,
			inverse )

According to initial pixel value with differents modulo.

This function calculates and plots the average curve of encrypted pixel values modulo 2 by initial pixel value.

Parameters

t_pix_enc	A 2D list containing encrypted pixel values.
vector_r_values	A list containing r values.
n	The number of pixels.
size_vec_r	The size of the r value vector.
title	The title of the plot.
inverse	A boolean value indicating whether to use inverse encryption or not.

Author

Katia Auxilien

Date

April 2024

avg_curve_mod_4_by_pixel_value()

Paillier_stats_on_r.avg_curve_mod_4_by_pixel_value	(		t_pix_enc,
			vector_r_values,
			n,
			size_vec_r,
			title,
			inverse )

This function calculates and plots the average curve of encrypted pixel values modulo 4 by initial pixel value.

Parameters

t_pix_enc	A 2D list containing encrypted pixel values.
vector_r_values	A list containing r values.
n	The number of pixels.
size_vec_r	The size of the r value vector.
title	The title of the plot.
inverse	A boolean value indicating whether to use inverse encryption or not.

Author

Katia Auxilien

Date

April 2024

avg_curve_mod_k_by_pixel_value()

Paillier_stats_on_r.avg_curve_mod_k_by_pixel_value	(		t_pix_enc,
			vector_r_values,
			n,
			size_vec_r,
			p,
			q,
			inverse )

According to initial pixel value.

This function calculates and plots the average curve of encrypted pixel values modulo k by initial pixel value.

Parameters

t_pix_enc	A 2D list containing encrypted pixel values.
vector_r_values	A list containing r values.
n	The number of pixels.
size_vec_r	The size of the r value vector.
p	A prime number used in Paillier encryption.
q	Another prime number used in Paillier encryption.
inverse	A boolean value indicating whether to use inverse encryption or not.

Author

Katia Auxilien

Date

April 2024

avg_curve_mod_k_by_pixel_value_and_lessthan_m()

Paillier_stats_on_r.avg_curve_mod_k_by_pixel_value_and_lessthan_m	(		t_pix_enc,
			vector_r_values,
			n,
			size_vec_r,
			p,
			q,
			m,
			inverse )

This function calculates and plots the average curve of encrypted pixel values modulo k by initial pixel value and less than 2^m.

Parameters

t_pix_enc	A 2D list containing encrypted pixel values.
vector_r_values	A list containing r values.
n	The number of pixels.
size_vec_r	The size of the r value vector.
p	A prime number used in Paillier encryption.
q	Another prime number used in Paillier encryption.
m	The exponent value of 2 for the threshold.
inverse	A boolean value indicating whether to use inverse encryption or not.

Author

Katia Auxilien

Date

April 2024

avg_curve_mod_k_by_pixel_value_in_common()

Paillier_stats_on_r.avg_curve_mod_k_by_pixel_value_in_common	(		t_pix_enc,
			t_pix_inv_enc,
			vector_r_values,
			n,
			size_vec_r,
			p,
			q )

According to initial pixel value, with different modulo, with common values where there is no r value for modulo k = 0.

This function calculates and plots the average curve of encrypted pixel values modulo k by initial pixel value for common values where there is no r value for modulo k = 0.

Parameters

t_pix_enc	A 2D list containing encrypted pixel values.
t_pix_inv_enc	A 2D list containing inversely encrypted pixel values.
vector_r_values	A list containing r values.
n	The number of pixels.
size_vec_r	The size of the r value vector.
p	A prime number used in Paillier encryption.
q	Another prime number used in Paillier encryption.

Author

Katia Auxilien

Date

April 2024

avg_curve_mod_k_by_r_value()

Paillier_stats_on_r.avg_curve_mod_k_by_r_value	(		t_pix_enc,
			vector_r_values,
			n,
			size_vec_r,
			p,
			q )

According to r value.

This function calculates and plots the average curve of encrypted pixel values modulo k by r value.

Parameters

t_pix_enc	A 2D list containing encrypted pixel values.
vector_r_values	A list containing r values.
n	The number of pixels.
size_vec_r	The size of the r value vector.
p	A prime number used in Paillier encryption.
q	Another prime number used in Paillier encryption.

Author

Katia Auxilien

Date

April 2024

avg_curve_mod_k_by_r_value_inv()

Paillier_stats_on_r.avg_curve_mod_k_by_r_value_inv	(		t_pix_enc,
			vector_r_values,
			n,
			size_vec_r,
			p,
			q )

This function calculates and plots the average curve of encrypted pixel values modulo k by r value for inverse encryption.

Parameters

t_pix_enc	A 2D list containing encrypted pixel values.
vector_r_values	A list containing r values.
n	The number of pixels.
size_vec_r	The size of the r value vector.
p	A prime number used in Paillier encryption.
q	Another prime number used in Paillier encryption.

Author

Katia Auxilien

Date

April 2024

main()

Paillier_stats_on_r.main

(

)

The main function that calls other functions to calculate and plot average curves of encrypted pixel values.

Author

Katia Auxilien

Date

April 2024

Variable Documentation

count_pix

list Paillier_stats_on_r.count_pix = []

f_pix

Paillier_stats_on_r.f_pix = open("results_pix_p3q83nbR164.txt", "r")

Initialisation, get data.

line_index

int Paillier_stats_on_r.line_index = 2

lines_pix

Paillier_stats_on_r.lines_pix = f_pix.readlines()

n

Paillier_stats_on_r.n = int(lines_pix[0])

p

int Paillier_stats_on_r.p = 3

pix_value

Paillier_stats_on_r.pix_value = np.uint16(lines_pix[line_index].strip())

q

int Paillier_stats_on_r.q = 83

r_value

Paillier_stats_on_r.r_value = np.uint64(lines_pix[line_index].strip())

size_vec_r

Paillier_stats_on_r.size_vec_r = int(lines_pix[1])

t_pix_avg

list Paillier_stats_on_r.t_pix_avg = []

t_pix_enc

list Paillier_stats_on_r.t_pix_enc = []

t_pix_enc_inv

list Paillier_stats_on_r.t_pix_enc_inv = []

Curves.

t_pix_enc_inv_row

list Paillier_stats_on_r.t_pix_enc_inv_row = []

t_pix_enc_row

list Paillier_stats_on_r.t_pix_enc_row = []

vector_r_values

list Paillier_stats_on_r.vector_r_values = []

x

Paillier_stats_on_r.x = np.invert(np.array(t_pix_enc[i][j], dtype=np.uint16))