Configurable Core of ECC over GF(2m)

2012 ◽  
Vol 462 ◽  
pp. 116-122
Author(s):  
Hong Bo Jiang ◽  
Xin Yu Feng
Keyword(s):  
Elliptic Curve ◽  
Functional Results ◽  
Public Key Cryptography ◽  
Elliptic Curve Cryptosystem ◽  
Basic Operation ◽  
Research Focus ◽  
Coverage Metrics ◽  
The Core ◽  
Encryption And Decryption ◽  
Verification Model

Elliptic Curve Cryptosystem is a research focus of public key cryptography. The advantage of ECC is described in this paper, on the basis of which the architecture of the Elliptic Curve Cryptosystem is determined. We design hardware and implement addition, square, multiplication and inverse over GF(2m)using Verilog. On the basic operation, we design the scalar multiplication and accomplish the final elliptic curve encryption and decryption function. At last, we test the design in this paper with the verification model and platform are constructed and count coverage metrics ratio for it. The coverage metrics ratio is 100% and verification results is right. The core is synthesized and simulated on timing. The gate-level simulation results is the same to functional results. It’s work frequency is 125MHz.

scholarly journals Elliptic Curve Cryptosystem for Email Encryption

2010 ◽  
pp. 230-235
Author(s):  
Abhijit Mitra ◽  
Saikat Chakrabarty ◽  
Poojarini Mitra
Keyword(s):  
Elliptic Curve ◽  
Elliptic Curve Cryptography ◽  
Galois Field ◽  
Elliptic Curve Cryptosystem ◽  
Public Network ◽  
Plain Text ◽  
The Core ◽  
Encryption And Decryption ◽  
Cryptographic Algorithms ◽  
Secure Transmission

The idea of information security lead to the evolution of cryptography. In other words, cryptography is the science of keeping information secure. It involves encryption and decryption of messages. The core of cryptography lies in the keys involved in encryption and decryption and maintaining the secrecy of the keys. Another important factor is the key strength, i.e. the difficulty in breaking the key and retrieving the plain text. There are various cryptographic algorithms. In this project we use Elliptic Curve Cryptography (ECC) over Galois field. This system has been proven to be stronger than known algorithms like RSA, DSA, etc. Our aim is to build an efficient elliptic curve cryptosystem for secure transmission or exchange of confidential emails over a public network.

Public-Key Encryption

2017 ◽  
Author(s):  
Keith M. Martin
Keyword(s):  
Elliptic Curve ◽  
Public Key Cryptography ◽  
Public Key ◽  
Public Key Encryption ◽  
Hybrid Encryption ◽  
Public Key Cryptosystems ◽  
Encryption And Decryption ◽  
Encryption Schemes ◽  
Hard Problems ◽  
Set Up

In this chapter, we introduce public-key encryption. We first consider the motivation behind the concept of public-key cryptography and introduce the hard problems on which popular public-key encryption schemes are based. We then discuss two of the best-known public-key cryptosystems, RSA and ElGamal. For each of these public-key cryptosystems, we discuss how to set up key pairs and perform basic encryption and decryption. We also identify the basis for security for each of these cryptosystems. We then compare RSA, ElGamal, and elliptic-curve variants of ElGamal from the perspectives of performance and security. Finally, we look at how public-key encryption is used in practice, focusing on the popular use of hybrid encryption.

Design of Digital Signature Scheme Based on Elliptic Curve Cryptosystem

2014 ◽  
Vol 685 ◽  
pp. 579-582
Author(s):  
Shi Guo Jin ◽  
Guang Jiang Wang
Keyword(s):  
Elliptic Curve ◽  
Digital Signature ◽  
Public Key Cryptography ◽  
Elliptic Curve Cryptosystem ◽  
Generation Process ◽  
Signature Scheme ◽  
Technical Performance ◽  
Elliptic Curve Cryptosystems ◽  
Process System ◽  
Digital Signature Scheme

Digital signature is electronically password technique for electronic document signature. Elliptic curve cryptography is a method of public key cryptography based on elliptic curve mathematical. Digital signature scheme consists of three processes: initialization process, the signature generation process and signature verification process system. This paper analyzes the elliptic curve cryptosystems mathematical principle and technical performance. The paper proposes design of digital signature scheme based on elliptic curve cryptosystem.

scholarly journals A COMPARATIVE ANALYSIS OF ECDSA V/S RSA ALGORITHM

2014 ◽  
pp. 7-9
Author(s):  
AMANPREET KAUR ◽  
VIKAS GOYAL
Keyword(s):  
Elliptic Curve ◽  
Finite Fields ◽  
Elliptic Curve Cryptography ◽  
Public Key Cryptography ◽  
Cryptographic Primitives ◽  
Prime Field ◽  
Rsa Algorithm ◽  
Encryption And Decryption ◽  
Security Problem ◽  
Accurate Observation

Elliptic curve Cryptography with its various protocols implemented in terms of accuracy and fast observation of results for better security solution. ECC applied on two finite fields: prime field and binary field. Because it is public key cryptography so, it also focus on generation of elliptic curve and shows why finite fields are introduced. But for accurate observation we do analysis on category of cryptographic primitives used to solve given security problem. RSA & ECDSA both have basic criteria of production of keys and method of encryption and decryption in basic application as per security and other properties which are authentication, non-repudiation, privacy, integrity.

scholarly journals Cryptography in Terms of Triangular Neutrosophic Numbers with Real Life Applications

2020 ◽  
pp. 39-52
Author(s):  
admin admin ◽  
◽  
◽  
◽  
◽  
...  
Keyword(s):  
Elliptic Curve ◽  
Elliptic Curve Cryptography ◽  
Information Transfer ◽  
Real Life ◽  
Public Key Cryptography ◽  
Public Key ◽  
Encryption And Decryption ◽  
Basic Concepts ◽  
Triangular Neutrosophic Numbers

In this article, our main focus is to put forward the concept of Cryptography in terms of triangular neutrosophic numbers. This kind of cryptography is really reliable, manual, secure, and based on few simple steps. All the encryption and decryption are easy to proceed (mention below). As we know, Public-key cryptography as an indefatigable defender for human privacy and use as information transfer from the ages. various concepts are available with regard to cryptography e.g. Elliptic curve cryptography. TNNC (Triangular neutrosophic numbers cryptography) is familiar with basic concepts of math as well as applicable in different situations e.g. code cryptography, detailed view cryptography, and Graph cryptography encryption facilitate.

Public Key Cryptosystem Research Based on Discrete Group

2014 ◽  
Vol 687-691 ◽  
pp. 2984-2988
Author(s):  
Lan Bai ◽  
Jian Zhang ◽  
Li Zhu
Keyword(s):  
Information System ◽  
Elliptic Curve ◽  
Rapid Development ◽  
Discrete Logarithm ◽  
Modern Society ◽  
Public Key Cryptography ◽  
Public Key ◽  
Elliptic Curve Cryptosystem ◽  
Digital Form ◽  
Defensive Measures

In modern society with Internet rapid development, information system takes digital form of 0 and 1, this information system and public channel are very fragile in the case of without defensive measures, and they are easily attacked and destructed by hackers and intruders. This article is mainly based on the knowledge of discrete logarithm, studies public key cipher algorithm, especially elliptic curve cryptosystem. First this paper introduces the basic concepts and knowledge of cryptography, and discusses the relation between discrete logarithm and public key cryptography algorithms. Finally in detail it discusses elliptic curve cryptosystem, and presents the realization and running effect of encryption system.

Enhanced Security Authentication of WiMAX using EC3A

2017 ◽  
Vol 7 (8) ◽  
pp. 219
Author(s):  
Mohd Javed ◽  
Khaleel Ahmad ◽  
Ahmad Talha Siddiqui
Keyword(s):  
Cellular Automata ◽  
Elliptic Curve ◽  
Elliptic Curve Cryptography ◽  
Information Rate ◽  
Security Authentication ◽  
Encryption And Decryption ◽  
High Information

WiMAX is the innovation and upgradation of 802.16 benchmarks given by IEEE. It has numerous remarkable qualities, for example, high information rate, the nature of the service, versatility, security and portability putting it heads and shoulder over the current advancements like broadband link, DSL and remote systems. Though like its competitors the concern for security remains mandatory. Since the remote medium is accessible to call, the assailants can undoubtedly get into the system, making the powerless against the client. Many modern confirmations and encryption methods have been installed into WiMAX; however, regardless it opens with up different dangers. In this paper, we proposed Elliptic curve Cryptography based on Cellular Automata (EC3A) for encryption and decryption the message for improving the WiMAX security

IMPLEMENTASI ALGORITMA SCHMIDT-SAMOA PADA ENKRIPSI DEKRIPSI EMAIL BERBASIS ANDROID

2013 ◽  
Vol 9 (1) ◽  
Author(s):  
Willy Ristanto ◽  
Willy Sudiarto Raharjo ◽  
Antonius Rachmat Chrismanto
Keyword(s):  
Public Key Cryptography ◽  
Text Messages ◽  
Public Key ◽  
Client Application ◽  
Performance Measurements ◽  
Encryption And Decryption ◽  
Number Variation

Cryptography is a technique for sending secret messages. This research builds an Android-based email client application which implement cryptography with Schmidt-Samoa algorithm, which is classified as a public key cryptography. The algorithm performs encryption and decryption based on exponential and modulus operation on text messages. The application use 512 and 1024 bit keys. Performance measurements is done using text messages with character number variation of 5 – 10.000 characters to obtain the time used for encryption and decryption process. As a result of this research, 99,074% data show that decryption process is faster than encryption process. In 512 bit keys, the system can perform encryption process in 520 - 18.256 miliseconds, and decryption process in 487 - 5.688 miliseconds. In 1024 bit keys, system can perform encryption process in 5626 – 52,142 miliseconds (7.388 times slower than 512 bit keys) and decryption process with time 5463 – 15,808 miliseconds or 8.290 times slower than 512 bit keys.

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