scholarly journals Efficient Lattice-Based Cryptosystems with Key Dependent Message Security

2021 ◽  
Vol 11 (24) ◽  
pp. 12161
Author(s):  
Bo Yang ◽  
Ruwei Huang ◽  
Jianan Zhao
Keyword(s):  
Public Key ◽  
Affine Function ◽  
Secret Key ◽  
The Public ◽  
Encryption And Decryption ◽  
Mathematical Problems ◽  
High Level ◽  
The Cost ◽  
Compact Lattice

Key-dependent message (KDM) security is of great research significance, to better analyse and solve the potential security problems in complex application scenarios. Most of the current KDM security schemes are based on traditional hard mathematical problems, where the public key and ciphertext are not compact enough, and make the ciphertext size grow linearly with the degree of the challenge functions. To solve the above problems and the inefficient ciphertext operation, the authors propose a compact lattice-based cryptosystem with a variant of the RLWE problem, which applies an invertible technique to obtain the RLWE* problem. It remains hard after the modification from the RLWE problem. Compared with the ACPS scheme, our scheme further expands the set of challenge functions based on the affine function of the secret key, and the size of public key and ciphertext is O˜(n), which is independent of the challenge functions. In addition, this scheme enjoys a high level of efficiency, the cost of encryption and decryption is only ploylog(n) bit operations per message symbol, and we also prove that our scheme is KDM-CPA secure under the RLWE* assumption.

scholarly journals A Latticed-Based Public Key Encryption with KDM Security from R-LWE

2012 ◽  
Vol 6-7 ◽  
pp. 398-403
Author(s):  
Yan Fang Wu ◽  
Zheng Huang ◽  
Qiao Yan Wen
Keyword(s):  
Low Cost ◽  
Public Key ◽  
Encryption Scheme ◽  
Public Key Encryption ◽  
Secret Key ◽  
Worst Case ◽  
Encryption And Decryption ◽  
Learning With Errors ◽  
High Level ◽  
The Cost

Since the introduction of the ring learning with errors (R-LWE) by Lyubashevsky, Peikert and Regev, many efficient and secure applications were founded in cryptography. In this paper, we mainly present an efficient public-key encryption scheme based on the R-LWE assumption. It is very simple to describe and analyze. As well as it can achieve security against certain key-dependent message (KDM) attacks. Namely, this efficient encryption scheme can securely encrypt its own secret key. The security of this scheme follows from the already proven hardness of the R-LWE problem since the R-LWE assumption is reducible to worst-case problems on the ideal lattice. Besides, the scheme enjoys a high level efficiency and low cost since the operations of the scheme are very simple and fast. The cost of both the encryption and decryption is only polylog(n) bit per message symbol.

scholarly journals Quantum Key Distribution Based-on Refraction and Polarization Entanglement

2020 ◽  
Vol 8 (6) ◽  
pp. 2911-2918
Keyword(s):  
Quantum Key Distribution ◽  
Secure Communication ◽  
Key Distribution ◽  
Public Key ◽  
Entangled State ◽  
Key Generation ◽  
Secret Key ◽  
The Public ◽  
Encryption And Decryption ◽  
Refraction Factor

Cryptography is the specialty of encoding and decoding messages and exists as extended as the individuals have doubted from one another and need secure correspondence. The traditional techniques for encryption naturally depend on any among public key or secret key approaches. In general, the public key encryption depends on two keys, for example, public key and private key. Since encryption and decryption keys are different, it isn't important to safely distribute a key. In this approach, the difficult of the numerical issues is assumed, not demonstrated. All the security will be easily compromised if proficient factoring algorithms are found. In secret key encryption two clients at first create secret key, which is a long string of arbitrarily selected bits and safely shares between them. At that point the clients can utilize the secret key along with the algorithms to encryption and decryption information. The procedures are complicated and also planned such a way that every bit of output is based on every bit of input. There are two fundamental issues with secret key encryption; first one is that by breaking down the openly known encoding algorithms, it gets simpler to decrypt the message. The subsequent one is that it experiences key-conveyance issue. As a result of the ongoing improvements in quantum processing and quantum data hypothesis, the quantum computers presents genuine difficulties to generally utilized current cryptographic strategy. The improvement of quantum cryptography beat the deficiencies of old style cryptography and achieves these huge accomplishments by using the properties of infinitesimal articles, for example, photon with its polarization and entangled state. In this paper, Polarization by refraction based quantum key distribution (PR-QKD) is proposed for quantum key generation and distribution. The proposed work considers three basis of polarization such as rectilinear (horizontal and vertical), circular (left-circular and right-circular), ellipse (left-ellipse and rightellipse) and refraction factor. This quantum key can be used for secure communication between two users who are spatially separated and also offer intrusion detection ability to detect attackers. The theoretical approach and conceptual results are discussed in this paper.

scholarly journals Distributed Provers and Verifiable Secret Sharing Based on the Discrete Logarithm Problem

1992 ◽  
Vol 21 (388) ◽  
Author(s):  
Torben Pryds Pedersen
Keyword(s):  
Secret Sharing ◽  
Discrete Logarithm ◽  
Discrete Logarithm Problem ◽  
Shannon Information ◽  
Public Key ◽  
Additional Property ◽  
Secret Key ◽  
Verifiable Secret Sharing ◽  
The Public ◽  
High Level

Secret sharing allows a secret key to be distributed among n persons, such that k(1 <= k <= n) of these must be present in order to recover it at a later time. This report first shows how this can be done such that every person can verify (by himself) that his part of the secret is correct even though fewer than k persons get no Shannon information about the secret. However, this high level of security is not needed in public key schemes, where the secret key is uniquely determined by a corresponding public key. It is therefore shown how such a secret key (which can be used to sign messages or decipher cipher texts) can be distributed. This scheme has the property, that even though everybody can verify his own part, sets of fewer than k persons cannot sign/decipher unless they could have done so given just the public key. This scheme has the additional property that more than k persons can use the key without compromising their parts of it. Hence, the key can be reused. This technique is further developed to be applied to undeniable signatures. These signatures differ from traditional signatures as they can only be verified with the signer's assistance. The report shows how the signer can authorize agents who can help verifying signatures, but they cannot sign (unless the signer permits it).

A CUBIC EL-GAMAL ENCRYPTION SCHEME BASED ON LUCAS SEQUENCE AND ELLIPTIC CURVE

2021 ◽  
Vol 10 (11) ◽  
pp. 3439-3447
Author(s):  
T. J. Wong ◽  
L. F. Koo ◽  
F. H. Naning ◽  
A. F. N. Rasedee ◽  
M. M. Magiman ◽  
...  
Keyword(s):  
Elliptic Curve ◽  
Elliptic Curve Cryptography ◽  
Mathematical Problem ◽  
Public Key ◽  
Public Key Cryptosystem ◽  
Encryption Scheme ◽  
Secret Key ◽  
Chosen Plaintext Attack ◽  
The Public ◽  
Lucas Sequence

The public key cryptosystem is fundamental in safeguard communication in cyberspace. This paper described a new cryptosystem analogous to El-Gamal encryption scheme, which utilizing the Lucas sequence and Elliptic Curve. Similar to Elliptic Curve Cryptography (ECC) and Rivest-Shamir-Adleman (RSA), the proposed cryptosystem requires a precise hard mathematical problem as the essential part of security strength. The chosen plaintext attack (CPA) was employed to investigate the security of this cryptosystem. The result shows that the system is vulnerable against the CPA when the sender decrypts a plaintext with modified public key, where the cryptanalyst able to break the security of the proposed cryptosystem by recovering the plaintext even without knowing the secret key from either the sender or receiver.

scholarly journals Design and development of a secure certificateless proxy signature based (SE-CLPS) encryption scheme for cloud storage

2021 ◽  
Vol 10 (1) ◽  
pp. 57
Author(s):  
Ms. K. Sudharani ◽  
Dr. N. K. Sakthivel
Keyword(s):  
Computational Cost ◽  
Public Key Cryptography ◽  
True Positive Rate ◽  
Proxy Signature ◽  
Attack Detection ◽  
Third Party ◽  
Public Key ◽  
Secret Key ◽  
True Negative ◽  
The Public

Certificateless Public Key Cryptography (CL-PKC) scheme is a new standard that combines Identity (ID)-based cryptography and tradi- tional PKC. It yields better security than the ID-based cryptography scheme without requiring digital certificates. In the CL-PKC scheme, as the Key Generation Center (KGC) generates a public key using a partial secret key, the need for authenticating the public key by a trusted third party is avoided. Due to the lack of authentication, the public key associated with the private key of a user may be replaced by anyone. Therefore, the ciphertext cannot be decrypted accurately. To mitigate this issue, an Enhanced Certificateless Proxy Signature (E-CLPS) is proposed to offer high security guarantee and requires minimum computational cost. In this work, the Hackman tool is used for detecting the dictionary attacks in the cloud. From the experimental analysis, it is observed that the proposed E-CLPS scheme yields better Attack Detection Rate, True Positive Rate, True Negative Rate and Minimum False Positives and False Negatives than the existing schemes.   

scholarly journals Survey on Asymmetric Key Cryptographic Algorithms

2020 ◽  
pp. 404-408
Author(s):  
Sabitha S ◽  
Binitha V Nair
Keyword(s):  
Public Key Cryptography ◽  
Public Key ◽  
The Public ◽  
Private Key ◽  
Design And Implementation ◽  
Diffie Hellman ◽  
Encryption And Decryption ◽  
Cryptographic Algorithms ◽  
Symmetric Key ◽  
Symmetric Key Cryptography

Cryptography is an essential and effective method for securing information’s and data. Several symmetric and asymmetric key cryptographic algorithms are used for securing the data. Symmetric key cryptography uses the same key for both encryption and decryption. Asymmetric Key Cryptography also known as public key cryptography uses two different keys – a public key and a private key. The public key is used for encryption and the private key is used for decryption. In this paper, certain asymmetric key algorithms such as RSA, Rabin, Diffie-Hellman, ElGamal and Elliptical curve cryptosystem, their security aspects and the processes involved in design and implementation of these algorithms are examined.

Design Of Hybrid Cryptography With Vigenere Cipher And RSA Algorithm On IOT Data Security

2020 ◽  
Vol 8 (4) ◽  
pp. 475
Author(s):  
Maria Okta Safira ◽  
I Komang Ari Mogi
Keyword(s):  
System Architecture ◽  
Data Security ◽  
Data Encryption ◽  
Public Key ◽  
Secret Message ◽  
Secret Key ◽  
Rsa Algorithm ◽  
Tcp Protocol ◽  
Public Keys ◽  
Encryption And Decryption

In this paper two methods are used, namely the vigenere cipher method and the RSA method. The vigenere cipher method is an example of a symmetric algorithm, while RSA is an example of an asymmetric algorithm. The combination of these two methods is called hybrid cryptography which has the advantage in terms of speed during the encryption process. Each process, which is encryption and decryption, is carried out twice, so that security can be ensured. In the process of forming the key used the RSA method. In the encryption process using public keys that have been generated before when the key is formed. This public key is used in sending data to the recipient of a secret message where this key is used for the data encryption process. The Secret key is kept and will be used during the decryption process. There is a system architecture that describes how clients and servers communicate with each other over the internet using the TCP protocol where the client here is an IoT device and the server is a server. 

scholarly journals Discrete Sliding Mode Control for Chaos Synchronization and Its Application to an Improved El-Gamal Cryptosystem

Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 843 ◽  
Author(s):  
Pei-Yen Wan ◽  
Teh-Lu Liao ◽  
Jun-Juh Yan ◽  
Hsin-Han Tsai
Keyword(s):  
Chaos Synchronization ◽  
Sliding Mode ◽  
Encryption Algorithm ◽  
Public Key ◽  
Public And Private ◽  
The Public ◽  
Encryption And Decryption ◽  
Asymmetric Encryption ◽  
Improved Design ◽  
Discrete Sliding Mode Control

This paper is concerned with the design of an improved El-Gamal cryptosystem based on chaos synchronization. The El-Gamal cryptosystem is an asymmetric encryption algorithm that must use the public and private keys, respectively, in the encryption and decryption processes. However, in our design, the public key does not have to appear in the public channel. Therefore, this proposed improved El-Gamal cryptosystem becomes a symmetric-like encryption algorithm. First, a discrete sliding mode controller is proposed to ensure the synchronization of master and slave chaotic systems; next, a novel improved El-Gamal cryptosystem is presented. In the traditional El-Gamal cryptosystem, the public key is static and needs to be open which provides an opportunity to attack. However, in this improved design, due to the chaos synchronization, the public key becomes dynamic and does not appear in public channels. As a result, drawbacks of long cipher text and time-consuming calculation in the traditional El-Gamal cryptosystem are all removed. Finally, several performance tests and comparisons have shown the efficiency and security of the proposed algorithm.

scholarly journals Perancangan Aplikasi Pengamanan Data Text Menggunakan Kombinasi Algoritma Hill Cipher Dan Algoritma RSA

2018 ◽  
Vol 10 (2) ◽  
Author(s):  
Yuza Reswan ◽  
Dedy Agung Prabowo
Keyword(s):  
Data Security ◽  
Classical Method ◽  
Modern Method ◽  
Public Key ◽  
Original Form ◽  
Secret Key ◽  
The Public ◽  
Rsa Algorithm ◽  
Hill Cipher ◽  
Modern Methods

ABSTRACTIt is now commonplace that secrecy must be truly enhanced and tightened as it weighs the emergence of the latest technology that is growing rapidly. Of course an agency, group, or individual have data that is confidential and do not want to be known by other parties hence the need for a system capable of securing the data. For this reason this research aims to create Cryptography application by applying a combination of Hill Cipher and RSA algorithm, Cryptography is also called coding language and I apply Hill Cipher because it is a classical method that uses multiplication for each encoded character while RSA is a modern method that has 2 keys ie key public and secret key where the public key is used for encryption and secret key to retranslate the original form. By applying a combination of classical and modern methods it can be more secure so it is more difficult to be solved by unwanted parties.Keyword : Data Security, Cryptography, Hill Cipher, RSAABSTRAKDi masa sekarang sudah menjadi hal yang biasa bahwa kerahasiaan harus benar – benar ditingkatkan dan diperketat karena menimbang kemunculan teknologi terbaru yang semakin pesat berkembang. Tentu sebuah Instansi, kelompok, ataupun individu memiliki data yang bersifat rahasia dan tidak ingin diketahui oleh pihak lain maka dari itu diperlukannya system yang mampu mengamankan data tersebut. Untuk itulah penelitian ini bertujuan membuat aplikasi Kriptografi dengan menerapkan kombinasi Algoritma Hill Cipher dan RSA, Kriptografi juga disebut bahasa persandian dan saya menerapkan Hill Cipher karena merupakan metode klasik yang menggunakan perkalian untuk tiap karakter yang disandikan sedangkan RSA adalah metode modern yang memiliki 2 kunci yaitu kunci publik dan kunci rahasia dimana kunci publik digunakan untuk penyandian dan kunci rahasia untuk menterjemahkan kembali k bentuk asli. Dengan menerapkan kombinasi metode klasik dan modern ini dapat lebih mengamankan sehingga lebih sulit untuk dapat di pecahkan oleh pihak – pihak yang tidak diinginkan.Kata Kunci : Pengamanan Data, Kriptografi, Hill Cipher, RSA.

scholarly journals Enhancing the Data Security by Using RSA Algorithm with Application of Laplace Transform Cryptosystem

2019 ◽  
Vol 8 (2) ◽  
pp. 6142-6147
Keyword(s):  
Statistical Analysis ◽  
Laplace Transform ◽  
Data Security ◽  
Time Complexity ◽  
Public Key ◽  
Rsa Cryptosystem ◽  
Rsa Algorithm ◽  
Encryption And Decryption ◽  
The Laplace Transform ◽  
High Level

Encryption and Decryption schemes based on applications of Laplace Transforms are unable to provide more security to communicate the information. Rivest, Shemir, Adleman (RSA) Cryptosystem is popular public-key algorithm. This paper provides the conditions that give rise to the RSA Cryptosystem based on the Laplace Transform techniques. The modified RSA cryptosystem is explained with an algorithm. The proposed algorithm is implemented using a high level program and time complexity of the proposed algorithm is tested with RSA cryptosystem algorithms. The comparison reveals that the proposed algorithm enhances the data security as compare with RSA cryptosystem algorithms and application of Laplace Transform for cryptosystem scheme. The statistical analysis for the proposed and existing algorithms is provided

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