A novel method for digital data encoding-decoding

TELKOMNIKA Telecommunication, Computing, Electronics and Control
Vol. 18, No. 5, October 2020, pp. 2772~2779
ISSN: 1693-6930, accredited First Grade by Kemenristekdikti, Decree No: 21/E/KPT/2018
DOI: 10.12928/TELKOMNIKA.v18i5.14279  2772
Journal homepage: http://journal.uad.ac.id/index.php/TELKOMNIKA
A novel method for digital data encoding-decoding
Amjad Y. Hindi
Communication Engineering department, Faculty of Engineering Technology, Al-Balqa Applied University, Jordan
Article Info ABSTRACT
Article history:
Received Oct 6, 2019
Revised Feb 13, 2020
Accepted Feb 27, 2020
Cryptography is one of the paramount and most vital data treatment processes,
it allows us to be secure in our electronic transactions. The process of
cryptography protects our valuable data such as private account numbers and
transaction amounts, electronic signatures replace handwritten signatures or
credit card authorizations, and public-key encryption provides confidentiality.
The objective of data encryption is to keep digital data confidentiality save as
it is stored on computer systems and transferred using the internet or other
computer networks. In this paper we will focus in enhancing security level of
the encryption-decryption process by introducing a novel method, which uses
any digital color image to encode-decode secret message, the using of a special
key to encrypt-decrypt the encoded-decoded message, the color image will be
known only by the transmitter and receiver to keep the process of data
treatment confidential, the obtained experimental results by the proposed
method will be analyzed to prove the enhancement in process efficiency
and confidentiality.
Keywords:
AES
Decoder
DES
Digital image
Encoder
Hight
Histogram
LED
Speedup
This is an open access article under the CC BY-SA license.
Corresponding Author:
Amjad Y. Hindi,
Communication Engineering department,
Faculty of Engineering Technology,
Al-Balqa Applied University.
Email: amjadhindi@bau.edu.jo
1. INTRODUCTION
Digital color image [1-3] is one of most commonly used data types; it is usually represented by a 3D
matrix (red, green, and blue colors are assigned to the first, second, and third dimensions correspondingly),
each color value is ranges from 0 to 255, the repetition of each color value forms the image histogram [4, 5] as
shown in Figures 1 and 2. If the color image is clear and normalized then the histogram will cover all the values
between 0 and 255 [4, 5], thus the color values can be used to handle the ASCII value of any character in any
secret message, allowing us to use the color image for secure data cryptography. The goal of data cryptography
is to protect data and to improve the security wherever data is stored or conveyed [6]. Many methods were
proposed to insure the security of transmitted secret message [7-9], which are using the techniques of data
hiding, the secret message is to be hidden in a covering image, the covering image will be encrypted [10-15].
In this research, a new method which is falls in the category of standard method of data encryption-decryption
such as DES, AES, LED, and hight methods.

TELKOMNIKA Telecommun Comput El Control 
A novel method for digital data encoding-decoding (Amjad Y. Hindi)
2773
Figure 1. Color image and histogram
Figure 2. Reshaped color images and total histogram
2. BACKGROUND
2.1. DES encryption-decryption
Data encryption standard (DES) [16] is a block cipher, at the encryption site, DES divides the secret
message into 64 bits blocks, takes a 64-bit text and makes a 64-bit code; at the receiving end, DES takes
a 64-bit ciphertext and creates a 64-bit block. Theprocess of encryption is two parts which are initial
permutationsand final permutations (P-boxes), and sixteen Feistel rounds [15, 17]. EachFeistel round uses
a different key generated by an algorithm described below. Figure 3 shows the structure of data encryption
standard at the sender site.
Figure 3. DES structure [18]

 ISSN: 1693-6930
TELKOMNIKA Telecommun Comput El Control, Vol. 18, No. 5, October 2020: 2772 - 2779
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2.2. AES data encryption-decryption
Advanced encryption standard (AES) consists of two techniques for encryption and decryption of
ciphertext. Which are known as substitution and permutation network (SPN) [19, 20]. AES dealswith plaintext
blocks of 128 bits (16 bytes) size. Each block is represented by 4x4 matrixes and AES operates on a matrix of
bytes. AES uses several rounds and logical-mathematical operation to perform encryption and decryption
processes as shown in Figure 4 [20]
Figure 4. AES structure [15]
2.3. Hight data encryption-decreyption
HIGHT (High security and light weight) is a symmetric method of data encryption-decryption, which
uses a 64 bit key and 64 bit ciphertext block and it is suitable for low-resource device [21]. Hight hasa simple
structure with usesa basic arithmetic operation–XOR as shawn in Figure 5, addition/subtraction in modular
256, and circular shift rotation, without using S-Box [22, 23].
Figure 5. Hight structure [18]

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2.4. LED data encryption-decryption
Light encryption device (LED) is an SPN type Lightweight block cipher was first introduced by Guo
et al. in 2011 [24]. The step function performed 8 times for the 64 bit key and 12 times for the 128-bit keys.
The keys used in LED block cipher may vary from 64 bits to 128 bits [25, 26]. LEDdivides the input key into
two blocks of 64-bit keys and processesin parallel. So more than one input can be processed at a time, thereby
the speed of architecture increased at the cost of the area. The operation involved in the architecture is add
round key, add constant, substitute cells, shift rows and mix columns [26].
3. THE PROBLEM
Digital image has a huge size (the dimensions of a digital image are expressed in terms of its pixels,
for instance “800x600” or “1520x1280” where the first number is the width of the photo and the second number
the height of the photo). Using the available standards of data encryption-decryption for color images will
require more efforts, the image must be divided into blocks, each block must be encrypted, and then decrypted.
This will increase the encryption-decryption times, thus will decrease the standard methods efficiency.
4. THE PROPOSED SOLUTION
The proposed solution introduces a method that uses a digital color image to encode the secret message
in the encrypption phase, and the same color image in the decryption phase as an image-decoder as shown in
Figure 6. The following procedures show the implementation of the proposed method:
a) Encryption procedure:
Phase 1: Private key (PK) generation:
This phase will be implemented once by generating a random integer array with a big number of
element to suit any message with any length, the generated PK must be saved and must be known by the sender
and the reciever.
Phase 2: Message encoding:
Message encodinghas will be implemented as followes:
− Select the secret message.
− Get the length of the message.
− Select the image-encoder.
− Get the image size.
− Reshape the image into one row array.
For each character in the message find the first occuranes of character ASCII value in the image, and store the
positing in encoded array.
Phase 3: Encryption phase:
The Encryption phase is performed by the following steps:
− Load PK
− Adjust the PK to match the message lengt.
− XOR the encoded array with PK to get the encrypted message.
Table 1 shows an example of message encryption.
Figure 6. Proposed method structure

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Table 1. Message encryption example
Message characters Encoded message Key Encrypted message
z 1958 242 1876
i 1348 58 1406
a 1009 154 875
d 702 123 709
1656 227 1691
a 1009 194 819
l 908 116 1016
q 2115 4 2119
a 1009 209 800
d 702 113 719
i 1348 156 1496
b) Decryption procedure:
Phase 1: Get PK:
By loading the PKthis phase can be implemented.
Phase 2: Get the decrypted message
The message treatement takes the following four steps:
− Use the encrypted message.
− find the message length.
− Adjust PK to suit the message length.
− XOR the key with the message to get the decoded message array.
Phase 3: Message decoding
The process of message decoding hasthe following steps:
− Get the decoded secret message.
− Get the length of the message.
− Select the image-decoder.
− Get the image size.
− Reshape the image into one row array.
− Use each value in the decoded message as a position in the image to get the pixel value as an ASCII code
of the character.
5. IMPLEMENTATION AND EXPERIMENTAL RESULTS
A matlab code was writen to implement the proposed method of message encryption-decryption,
several experiment were performed as followos:
a) Experiment 1: Encrypting the same secret message using various image-encoder:
One secret message was taken, the prposed method was implemented using various color images,
Table 2 shows the results of this experiment. From the results shown in Table 2 we can see that using various
color image as an encoders-decoders leads to producing different encoded and encrypted messages.
Table 2. Experiment 1 results
Original
message
Image 1 Image 2 Image 3 Image 4 Image 5
Encoded Encrypted Encoded Encrypted Encoded Encrypted Encoded Encrypted Encoded Encrypted
z 2019 1809 133 119 159 109 403 353 132 118
i 61 7 243 201 260 318 487 477 79 117
a 76 214 222 68 311 429 384 282 73 211
d 33 90 224 155 270 373 1413 1534 75 48
410 377 24 251 9946 9785 704 547 298 457
a 76 142 222 28 311 501 384 322 73 139
l 30 106 115 7 214 162 505 397 252 136
q 51 55 494 490 316 312 420 416 88 92
a 76 157 222 15 311 486 384 337 73 152
d 33 80 224 145 270 383 1413 1524 75 58
i 61 161 243 111 260 408 487 379 79 211
b) Experiment 2: Encrypting deffirent secret messages using the same image-encoder:
Different secret messages weres taken, the prposed method was implemented using the same color
image as an encoder-decoder, Table 3 shows the results of this experiment. From the results shown in Table 3

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we can see that using the same color image to encode-decode various messages leads to producing different
encoded and encrypted messages.
Message 1 Message 2 Message 3 Message 4 Message 5
Encoded Encrypted Encoded Encrypted Encoded Encrypted Encoded Encrypted Encoded Encrypted
2019 1809 1271 1029 99 145 96 146 86 164
61 7 76 118 42 16 76 118 76 118
76 214 76 214 42 176 30 132 30 132
33 90 33 90 76 55 51 72 1421 1526
410 377 410 377 48 211 76 175 410 377
76 142 76 142 410 344 410 344 388 326
30 106 37 81 241 133 99 23 99 23
51 55 42 46 391 387 87 83 32 36
76 157 76 157 50 227 87 134 34 243
33 80 33 80 33 80 30 111 34 83
61 161 256 412 76 208 61 161 30 130
c) Experiment 3: Calculating encryption and decryption times
Different color images were selected as an encoder-decoder and used to encrypt-decrypt 8 bytes secret
message, the results of this experiment are shown in Table 4. From the obtained results in this experiment we
can see that any color image can be used as an encoder-decoder, but it is better to use an image with small size,
this image will be suitable and will reduce the encryption time (encryption time includes encoding time and
encryption time).
Image size Encryption time(S) Decryption time(S)
152x171x3 0.0390 0.00001
165x247x3 0.0420 0.00001
183x275x3 0.0490 0.00001
360x480x3 0.0660 0.00001
360x480x3 0.0710 0.00001
846x1504x3 0.2720 0.00001
981x1470x3 0.3090 0.00001
1071x1600x3 0.3570 0.00001
d) Experiment 4: Comparisons with other methods
A matlab codes were to implement other standards of message encryption-decryption, a message of 8
bytes length (64 bits block) was selected and treated by each method, Table 5 shows the results of this
experiment. From the results shown in Table 5 we can see that the proposed method is the most efficient
method, because it requires a minimum time for message encryption-decryption as shown in Figure 7.
Test Proposed DES AES LED Hight
1 0.0394 0.0769 0.3441 0.3084 0.2663
2 0.0393 0.0763 0.3448 0.3089 0.2660
3 0.0393 0.0762 0.3444 0.3085 0.2667
4 0.0394 0.0769 0.3449 0.3088 0.2667
5 0.0394 0.0762 0.3447 0.3085 0.2670
6 0.0396 0.0766 0.3447 0.3085 0.2666
7 0.0391 0.0770 0.3443 0.3085 0.2664
8 0.0390 0.0767 0.3442 0.3084 0.2662
9 0.0395 0.0769 0.3442 0.3089 0.2666
10 0.0399 0.0760 0.3442 0.3080 0.2667
The average encryption times for the used methods were calculated, Table 6 shows the results of
calculations. From the results shown in Table 6 we can calculate the speedup of the proposed method using
the following formula:

 ISSN: 1693-6930
2778
𝑆𝑝𝑒𝑒𝑑𝑢𝑝 =
𝑂𝑡ℎ𝑒𝑟𝑚𝑒𝑡ℎ𝑜𝑑𝑡𝑖𝑚𝑒
𝑃𝑟𝑜𝑝𝑜𝑠𝑒𝑑𝑚𝑒𝑡ℎ𝑜𝑑𝑡𝑖𝑚𝑒
The results of speedup calculations are shown in Table 7. From the results shown in Table 7 we can see that
the proposed method has a significant speedup comparing with other standards of data encryption.
Figure 7. Time comparisons
Table 6. Average encryption time
Method Encryption time(S)
DES 0.0760
AES 0.344000
LED 0.3080
Hight 0.266000
Proposed 0.0390
Table 7. Speedup calculation
Method Speedup
DES 1.9487
AES 8.8205
LED 7.8974
Hight 6.8205
6. CONCLUSION
A novel method of data encryption-decryption based on image encoding-decoding was proposed,
implemented and tested, from the obtained experimental results we can conclude that the proposed method has
the following advantages compared with other standards used for data cryptography. Any digital image (color
or gray) can be used as an encoder-decoder, any message can be encoded-decoded by any image, the same
image can be used to encode-decode any message, the message length is unlimited, a message may be
considered as one block, or it can be divided into block with various sizes. PK generation is a very simple
process and it easy to update the key any time. The proposed method has a significant speedup, thus it is more
efficient than other methods. The proposed method is very secure. It provides two level of security the PK level
and encoder-decoder level.
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