This document describes a proposed system for improving database security using encryption and signatures. The current system uses AES encryption and ECDSA signatures for confidentiality and integrity. However, the authentication time for signature verification is slow. The proposed system aims to minimize this authentication time using chaos theory and Chebyshev polynomials for key management. Chaos theory would generate keys simultaneously at the sender and receiver for mutual authentication. The Chebyshev polynomials would then use the chaos theory parameters to uniquely generate encryption keys, speeding up the authentication process. A graph is shown comparing the proposed chaotic maps method to RSA in having significantly lower authentication times.

1. Title:
DATA SECURITY WITH AES ENCRYPTION,
ELLIPTIC CURVE ENCRYPTION AND SIGNATURE _

2. Project Supervisor & Guide _
C.Atheeq
Assistant Professor
CSE Dept,
Deccan College of
Engineering &Technology
Hyderabad.
>> Mohammed Abdul Faizan
160318733029
BEVII Sem CSE, DCET
>> Mohammed Abdul Lateef
160318733055
BEVII Sem CSE, DCET
>> Mohd Abdul Rahman
160318733057
BE VII Sem CSE, DCET

3. Presentation Outline_____
i. Getting to know about our Domain
ii. Current System / Literature Survey
iii.Problems in Current system
iv.Proposed System

4. Getting to know about our Domain-
CRYPTOGRAPHY_
• Cryptography is the study of secure communications techniques that allow only the
sender and intended recipient of a message to view its content.
• When transmitting electronic data, the most common use of cryptography is to encrypt
and decrypt email and other plain-text messages from files to databases etc.
• Cryptography redefines ACID property and Benefits of Cryptography are the
redefinition itself...
1.Authentication
2.Confidentiality
3.Impenetrable
4.Data- Integrity

5. Literature Survey / Current System _
• Database security is concerned with, the information security control that involves
the data protection,
stored functions protection,
the database itself ,
its servers.
• Database- used for various areas like hospital, defense, school, etc. to store the sensitive
sensitive information,
hence security of such databases is a primary concern where Cryptography comes into play.

6. o If a user needs to store or request the data, to do this the user needs to get
authenticated.
o When a user is authenticated, he will get key from a key generator and then
he encrypts or decrypts the data within the database.
o The basic characteristics of information that must be available in database
system is,
1. Confidentiality
2. Integrity
These are achieved in the system using AES encryption and ECDSA signature
verification.
Contd.

7. Fig: Key generator role for database store and retrieve - AES

8. Here in database,
1. AES symmetric encryption and ECC encryption, for
database Confidentiality and
2. ECC signature, for database Integrity.
are used.
Current Implementation of the System:

9. o There are 3 lengths of AES encryption keys: 128-bit | 192-bit | 256-bit
o Even though the key length of this encryption method varies, its block size
- 128-bits (or 16 bytes) - stays fixed.
o It all comes down to resources. For example, an app that uses AES-256
instead of AES-128 might drain your phone battery a bit faster.
o Hence key length is directly proportional to the processing resources
used.
Keys Config:

10. THE ECDSA _
o Elliptic Curve Digital Signature Algorithm, is one of
the public key cryptography encryption
algorithms.
o Keys are generated via ECC are smaller than the
average keys generated by other digital signing
algorithms.
o * A digital signature is an authentication method
used where a public key pair and a digital certificate
are used as a signature to verify the identity of a
recipient or sender of information.

11. THE 6 methods
discussed in
regards with
Database Security.
Type – 1. Rows-level encryption with AES
Type – 2. Columns- level encryption with AES
Type – 3. Elements level encryption with AES
Type – 4. Rows-level encryption with AES and ECC
Type – 5. Column level encryption with AES and ECC
Type – 6. Elements level encryption with AES and ECC

12. 1. Rows, Column, Element-level encryption(Type 1,2,3)with AES are done
with a key binding function for generation their respective Cipher blocks.
2. Rows, Column, Element-level encryption(Type 4,5,6 )with AES and ECC
are done with a key binding function for generation their Digital
Signatures.
Brief Description of methods _

13. o In the current system of Database security there arises a problem, like
o While signing of the Ciphers for the Signature generation, the
authentication time is comparatively more for the receiver to decrypt the
cipher.
o This aspect is being resolved in our proposed system.
Problem in Current System _

14. Proposed System:
KEY AUTHENTICATION MANAGEMENT
USING CHAOS THEORY & CHEBYSHEV POLYNOMIAL
--- Guided by C.Atheeq

15. Objective of our Proposed system:
• To minimize the authentication time of the verification at the
receiver end & the signature generation at the sender end.
• We propose a method to provide mutual authentication
between communicating entities using chaos theory.
Directions:
o Chaos theory.
o Chaotic Cryptology.
o Chebyshev polynomial.
o Implementation procedure.

16. CHAOS THEORY _
• 'Chaos'- def. Some information that is extremely complicated or with an
absence of some order.
• Chaotic systems are deterministic but their long term behavior causes
difficulty in prediction with accuracy.
• Chaos theory states that the apparent(clear or open to view)
randomness of chaotic systems, there exists underlying patterns,
repetitions, self-organization etc.

17. CHAOTIC CRYPTOLOGY _
a) It is application of mathematical-Chaos theory for Cryptography
b) Used to privately and securely transmit the information.
c) If chaotic parameters and cryptographic keys are mapped either
symmetrically or asymmetrically they produce acceptable and functional
outputs.
d) Using this makes any intruder impossible to find the outputs without the
knowledge of inputs.
EX: Image encryption, random number generation, Hash functions.

18. CHEBYSHEV POLYNOMIAL...
1. Derived by Pafnuty Chebyshev, Russian mathematician for statistics,
probability and mechanics.
2. Its is a function that describes the time dependence of a point in geometric
space.
3. The Chebyshev polynomial are the sequences of major cosine functions-Tn(x)
4. Where ,n>=1;
5. There exists a semi group property of CHEBYSHEV POLYNOMIAL which is
being implemented i.e.,
, n>=1;

19. Q.Where exactly are these polynomials to be used..?
KEY MANAGEMENT USING CHAOS THEORY _
o By using chaos theory, the key is generated at sender as well as at receiver
side and it is compared.
o This process of mutual authentication in our proposed protocol take minimum
computational load.
o This mutual authentication gives the parameters to the Chebyshev
polynomials to generate a unique and corresponding key for the Chaotic
Cryptography.

20. Proof to be derived from Chaos theory and Chebyshev
polynomials :
(Sender) (Receiver
)
• Where,
m, n are public and private keys ,
x is the cipher/ message to be encrypted/ decrypted.
From the above calculations it gets clear that the sender and receiver
acquires the same secret key by using the chaos theory and does the mutual
authentication in an effective manner.

21. 0
2000
4000
6000
8000
10000
12000
ECC Chaos 2
Comparison between RSA and Chaotic Maps
in computational time
Authentication time
taken
This protocol of minimizing the authentication time is our proposed system, so that the
authentication mechanism takes minimum computational load.