Seth

Analysis of security evaluation methods for chaos-based encryptions.

Abstract

Over the past years a lot of different chaos-based image encryption algorithms has been proposed. In various experiments and analysis it is shown by the authors, that their encryption algorithm justifies a high security performance. This is for example done by analyzing the statistical behaviors of an encrypted image, the key sensitivity or the key space of the algorithm. There are common ways and methods to do this. Our assertion is, that just passing these tests does not guarantee a strong encryption algorithm or a high security performance. We show this by implementing obviously insecure algorithms and compare the results with well known chaos-based encryption schemes.

Building

This is as easy as

cd /path/to/seth/
make

The executable can be found in

seth/build/

Usage

Call Seth like this

./build/seth <flags>

Flags

List of available flags

• -h help
• -l produce less output files (only final result)
• -d <directory> directory of source images
• -t {<evaluation method>} list of evaluation methods to executed (min. 1)
• -e {<encryption>} list of encryptions to executed (min. 1)
• -k <number of keys> number of random generated keys applied on each image (default: 1)

Evaluation methods

• all runs all tests
• npcr NPCR
• uaci UACI
• grsh gray scale histogram
• grsv gray scale histogram value
• kese key sensitivity
• cprtv correlation property test vertical
• cprth correlation property test horizontal
• cprtd correlation property test diagonal
• seqts sequence test single bit
• seqtd sequence test double bit
• entri entropy of image
• nist NIST test suite

Encryptions

• all runs all encryptions
• origin no encryption (use original image)
• arnold Arnold cat's map
• baker Baker's map
• baker-sub baker's map in substitution mode
• xor-otp-rc4-msb XOR OTP RC4 in MSB mode
• xor-otp-rc4-pix XOR OTP RC4 in pixel mode
• xor-otp-cstd-msb XOR OTP CSTD in MSB mode
• xor-otp-cstd-pix XOR OTP CSTD in pixel mode
• xor-key-msb-8 XOR short-key in MSB mode 8 bit key
• xor-key-pix-8 XOR short-key in pixel mode 8 bit key
• xor-key-msb-32 XOR short-key in MSB mode 32 bit key
• xor-key-pix-32 XOR short-key in pixel mode 32 bit key
• xor-key-msb-256 XOR short-key in MSB mode 256 bit key
• xor-key-pix-256 XOR short-key in pixel mode 256 bit key
• xor-followers-8 XOR followers 8 bit key
• xor-followers-32 XOR followers 32 bit key
• xor-followers-256 XOR followers 256 bit key
• 2d-log-map-256 2 dimensional logistic chaotic map 256 bit key

License

Copyright (c) 2016, the Seth Project Authors. All rights reserved. Please see the AUTHORS file for details.

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

• Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.

• Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.