scholarly journals Factorization Hack of RSA Secret Numbers

2017 ◽  
Author(s):  
Andysah Putera Utama Siahaan

RSA always uses two big prime numbers to deal with the encryption process. The public key is obtained from the multiplication of both figures. However, we can break it by doing factorization to split the public key into two individual numbers. Cryptanalysis can perform the public key crack by knowing its value. The private key will be soon constructed after the two numbers retrieved. The public key is noted as “N”, while "N = P * Q". This technique is unclassified anymore to solve the RSA public and private key. If it is successfully factored into p and q then ɸ (N) = (P-1) * (Q-1) can be further calculated. By having the public key e, the private key d will be solved. Factorization method is the best way to do the demolition. This study concerns to numbers factorization. GCD calculation will produce the encryption "E" and decryption "D" keys, but it depends on the computer speed.

2018 ◽  
Vol 2 (1) ◽  
pp. 45
Author(s):  
Dicky Apdilah ◽  
Heru Swanda

Abstract - Along with the development of communication technology human needs in the use of technology are increasing, especially in data storage. One way to improve security for data is by using cryptographic methods. RSA Algorithm (Rivest Shamir Adleman) is one method in the branch of cryptography, where RSA is a type of asymmetric cryptography that uses 2 keys, namely public and private keys. The problem of increasing the security of the public key and private key in RSA (Rivest Shamir Adlema) is that the Linear Congruential Generator (LCG) method is needed, LCG is used to generate a set of random numbers to n, where a set of random numbers will be taken that have a number value prime. One method for generating prime numbers is The Sieve Of Eratosthenes algorithm, The Sieve Of Eratosthenes algorithm is a classic algorithm for determining all prime numbers until the n-number is specified. The way the The Sieve Of Eratosthenes method works is to eliminate numbers that are not prime numbers, resulting in a collection of prime numbers. The prime number generated by the The Sieve Of Eratosthenes algorithm will be used for the public key and private key in the RSA criterion. Keywords - RSA, LCG, The Sieve of Eratosthenes.


Author(s):  
Shadi R. Masadeh ◽  
Walid K. Salameh

This chapter presents a keyless self-encrypting/decrypting system to be used in various communications systems. In the world of vast communications systems, data flow through various kinds of media, including free air. Thus the information transmitted is free to anyone who can peer it, which means that there should be a guarding mechanism so the information is transmitted securely over the medium from the sender to the intended receiver, who is supposed to get it in the first place and deter the others from getting the information sent. Many encryption systems have been devised for this purpose, but most of them are built around Public Key Infrastructure (PKI) wherein public key cryptography, a public and private key, is created simultaneously using the same algorithm (a popular one is known as RSA) by a certificate authority (CA). The private key is given only to the requesting party, and the public key is made publicly available (as part of a digital certificate) in a directory that all parties can access. The private key is never shared with anyone or sent across the medium. All of the commonly used encryption systems exchange keys that need to be generated using complex mathematical operations that take noticeable time, which is sometimes done once, and exchanged openly over unsecured medium. We are proposing an expandable keyless self-encrypting/decrypting system, which does not require the use of keys in order o minimize the chances of breaching data exchange security and enhance the data security of everyday communications devices that are otherwise insecured.


2021 ◽  
Vol 5 (4) ◽  
pp. 768-773
Author(s):  
Aminudin ◽  
Ilyas Nuryasin

The RSA algorithm is one of the cryptographic algorithms with an asymmetric model where the algorithm has two keys, namely the public key and the private key. However, as time goes on, these algorithms are increasingly exposed to security holes and make this algorithm vulnerable to being hacked by people who do not have authority. The vulnerability stems from the algorithm's public keys (e and n). The strength of the RSA algorithm is based on the difficulty of factoring two prime numbers that are generated during the key generation process, if these values ​​can be known using certain methods, the public key and private key values ​​will be found. Therefore, there are many studies that improvise the RSA algorithm, one of which is the Dual Modulus RSA (DM-RSA) algorithm. The algorithm uses four prime numbers which produce 2 modulus and 4 keys (2 public keys and 2 private keys). From the results of the Kraitchik factorization test, it was found that the DM-RSA algorithm was proven to be more resistant up to 2 times or even more than the standard RSA algorithm. This is evidenced by the fact that the value of n is 24 bits, the RSA algorithm can last up to 63204 ms (1 minute 22 seconds) while the Dual Modulus RSA algorithm lasts up to 248494123 ms (142 minutes 47 seconds).  


2021 ◽  
Vol 13 (1) ◽  
pp. 51-64
Author(s):  
Cheman Shaik

Presented herein is a User-SpecificKey Scheme based on Elliptic Curve Cryptography that defeats man-inthe-middle attacks on cryptocurrency exchange accounts. In this scheme, a separate public and private key pair is assigned to every account and the public key is shifted either forward or backward on the elliptic curve by a difference of the account user’s password. When a user logs into his account, the server sends the shifted public key of his account. The user computes the actual public key of his account by reverse shifting the shifted public key exactly by a difference of his password. Alternatively, shifting can be applied to the user’s generator instead of the public key. Described in detail is as to how aman-in-the-middle attack takes place and how the proposed scheme defeats the attack. Provided detailed security analysis in both the cases of publickey shifting and generator shifting. Further, compared the effectiveness of another three authentication schemes in defending passwords against MITM attacks.


Kilat ◽  
2018 ◽  
Vol 7 (2) ◽  
pp. 91-99
Author(s):  
Yudi Wiharto ◽  
Ari Irawan

Cryptography is important in securing data and information. Confidential, important information may not be publicly or otherwise protected. It is not impossible for anyone to see, damage, steal or misuse important data from an agency or company through a computer network. The solution is with cryptography or a method of data security that can maintain the confidentiality and authenticity of a data or information. This method is intended for confidential information when sent through network access, such as LAN or internet, cannot be utilized by unauthorized parties. Cryptography supports the aspect of information security, namely protection of confidentiality. Therefore the need to maintain the confidentiality of data and information is a cryptographic application. The process in the form of encryption and decryption used by the user to secure the data without changing the contents of the data. This application has a 32-character key but in its use is made into 2 keys, namely public and private key where the public key is the key filled by the user in accordance with the desire, while the private key is the default key entered by the application at random to meet the length of 32 characters. The AES algorithm used is the AES256 algorithm where this algorithm uses the principle with the number of rounds by key.


Electronics ◽  
2020 ◽  
Vol 9 (9) ◽  
pp. 1389
Author(s):  
Jiwon Lee ◽  
Jihye Kim ◽  
Hyunok Oh

In public key broadcast encryption, anyone can securely transmit a message to a group of receivers such that privileged users can decrypt it. The three important parameters of the broadcast encryption scheme are the length of the ciphertext, the size of private/public key, and the performance of encryption/decryption. It is suggested to decrease them as much as possible; however, it turns out that decreasing one increases the other in most schemes. This paper proposes a new broadcast encryption scheme for tiny Internet of Things (IoT) equipment (BESTIE), minimizing the private key size in each user. In the proposed scheme, the private key size is O(logn), the public key size is O(logn), the encryption time per subset is O(logn), the decryption time is O(logn), and the ciphertext text size is O(r), where n denotes the maximum number of users, and r indicates the number of revoked users. The proposed scheme is the first subset difference-based broadcast encryption scheme to reduce the private key size O(logn) without sacrificing the other parameters. We prove that our proposed scheme is secure under q-Simplified Multi-Exponent Bilinear Diffie-Hellman (q-SMEBDH) in the standard model.


2021 ◽  
Vol 12 (1) ◽  
pp. 1-11
Author(s):  
Cheman Shaik

In this paper, we present a novel solution to detect forgery and fabrication in passports and visas using cryptography and QR codes. The solution requires that the passport and visa issuing authorities obtain a cryptographic key pair and publish their public key on their website. Further they are required to encrypt the passport or visa information with their private key, encode the ciphertext in a QR code and print it on the passport or visa they issue to the applicant. The issuing authorities are also required to create a mobile or desktop QR code scanning app and place it for download on their website or Google Play Store and iPhone App Store. Any individual or immigration uthority that needs to check the passport or visa for forgery and fabrication can scan its QR code, which will decrypt the ciphertext encoded in the QR code using the public key stored in the app memory and displays the passport or visa information on the app screen. The details on the app screen can be compared with the actual details printed on the passport or visa. Any mismatch between the two is a clear indication of forgery or fabrication. Discussed the need for a universal desktop and mobile app that can be used by immigration authorities and consulates all over the world to enable fast checking of passports and visas at ports of entry for forgery and fabrication


Author(s):  
Sabitha S ◽  
Binitha V Nair

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.


Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 843 ◽  
Author(s):  
Pei-Yen Wan ◽  
Teh-Lu Liao ◽  
Jun-Juh Yan ◽  
Hsin-Han Tsai

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.


2018 ◽  
Vol 173 ◽  
pp. 03019
Author(s):  
Qin Li ◽  
Caiming Liu ◽  
Siyuan Jing ◽  
Lijun Du

User identity authentication is the foundation of data transmission in the complicated network environment. Moreover, the key issue is the effective identity authentication of both sides in data transmission. An authentication method for user identity based on two-way confirmation in data transmission is proposed in this paper. The public key, private key, information of traditional identity authentication, one-time transmission key, timestamp, authentication lifecycle for timestamp and other authentication elements are constructed. Based on guaranteeing the timeliness of data transmission, the two-way user identity authentication process for sending terminal and receiving terminal is set up through using the information of traditional identity authentication and one-time transmission key.


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