Elliptic Curve Cryptosystem

Ebook Fundamentals of cryptology: A professional reference & interactive tutorial presents the following content: Chapter 1 introduction, chapter 2 classical cryptosystems, chapter 3 shift register sequences, chapter 4 block ciphers, chapter 5 shannon theory, chapter 6 data compression techniques, chapter 7 public-key cryptography, chapter 8 discrete logarithm based systems, chapter 9 RSA based systems, chapter 10 elliptic curves based systems, chapter 11 coding theory based systems, chapter 12 knapsack based systems.

508p zizaybay1103 29-05-2024 5 2   Download

Ebook Computer security and cryptography part 2 includes contents: Chapter 9 block-ciphers: lucifer, DES, and AES; chapter 10 the paradigm of public key cryptography; chapter 11 the knapsack cryptosystem; chapter 12 the rsa cryptosystem; chapter 13 prime numbers and factorization; chapter 14 the discrete logarithm problem; chapter 15 elliptic curve cryptography; chapter 16 key exchange in a network; chapter 17 digital signatures and authentication; chapter 18 applications of cryptography; chapter 19 cryptographic patents.

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Ebook Information security management handbook: Part 2 includes the following content: Chapter 15: Application Whitelisting; Chapter 16: Design of Information Security for Large System Development Projects; Chapter 17: Building Application Security Testing into the Software Development Life Cycle; Chapter 18: Twenty-Five (or Forty) Years of Malware History; Chapter 19: Format Preserving Encryption; Chapter 20: Elliptic Curve Cryptosystems; Chapter 21: Pirating the Ultimate Killer App: Hacking Military Unmanned Aerial Vehicles; Chapter 22: Service-Oriented Architecture; Chapter 23: Cloud Sec...

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Document present cryptosystems based on elementary number theory, cryptosystems based on elliptic curves, elementary number theory background, diffie-hellman key exchange, elgamal protocol, rsa cryptosystem...

26p haphuonglan2021 25-04-2021 26 14   Download

This article presents building an Elliptic curve cryptography and using it to encode and decode Vietnamese text. Here we have illustrated the prime number p = 151 in the future, which will use a large prime number. We consider an elliptic curve with a total score of 172 points. Encode and decode with standard Vietnamese text and combine with the special characters in ASCII code.

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Privacy-preserving frequency mining is a quite simple technique, but it is very useful in privacy-preserving machine learning and data mining. In this paper, we construct an elliptic curve analog of the ElGamal system-based protocol for privacy-preserving frequency mining in fully distributed setting.

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The contents of this chapter include all of the following: Diffie-Hellman key exchange, ElGamal cryptography, Elliptic curve cryptography, Pseudorandom Number Generation (PRNG) based on Asymmetric Ciphers.

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Objectives of Chapter 3: To define the terms and the concepts of symmetric key ciphers; to emphasize the two categories of traditional ciphers: substitution and transposition ciphers; to describe the categories of cryptanalysis used to break the symmetric ciphers.

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Objectives of Chapter 1: To define three security goals; to define security attacks that threaten security goals; to define security services and how they are related to the three security goals; to define security mechanisms to provide security services; to introduce two techniques, cryptography and steganography, to implement security mechanisms

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This document includes: Introduction to Elliptic Curves, Elliptic Curve Cryptosystems (ECC), Implementation of ECC in Binary Fields.

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Objectives of Chapter 12: To introduce general ideas behind cryptographic hash functions; to discuss the Merkle-Damgard scheme as the basis for iterated hash functions; to distinguish between two categories of hash functions; to discuss the structure of SHA-512; to discuss the structure of Whirlpool.

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Objectives of Chapter 13: To define a digital signature; to define security services provided by a digital signature; to define attacks on digital signatures; to discuss some digital signature schemes, including RSA, ElGamal, Schnorr, DSS, and elliptic curve; to describe some applications of digital signatures.

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Objectives of Chapter 14: To distinguish between message authentication and entity authentication; to define witnesses used for identification; to discuss some methods of entity authentication using a password; to introduce some challenge-response protocols for entity authentication; to introduce some zero-knowledge protocols for entity authentication; to define biometrics and distinguish between physiological and behavioral techniques.

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Objectives of Chapter 15: To explain the need for a key-distribution center; to show how a KDC can create a session key; to show how two parties can use a symmetric-key agreement protocol to create a session key; to describe Kerberos as a KDC and an authentication protocol; to explain the need for certification authorities for public keys; to introduce the idea of a Public-Key Infrastructure (PKI) and explain some of its duties.

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In the underlying finite field arithmetic of an elliptic curve cryptosystem, field multiplication is the next computational costly operation other than field inversion. We present two novel algorithms for efficient implementation of field multiplication and modular reduction used frequently in an elliptic curve cryptosystem defined over GF (2n ).

10p dunglh2013 02-04-2014 53 0   Download

During the last few years, a considerable effort has been devoted to the development of reconfigurable computers, machines that are based on the close interoperation of traditional microprocessors and Field Programmable Gate Arrays (FPGAs).

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This work proposes a processor architecture for elliptic curves cryptosystems over fields GF (2m ). This is a scalable architecture in terms of area and speed that exploits the abilities of reconfigurable hardware to deliver optimized circuitry for different elliptic curves and finite fields.

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This paper describes elliptic curve cryptosystems (ECCs), which are expected to be-come the next-generation public key cryptosystems, and also describes Fujitsu Labo-ratories’ study of ECCs.

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Abstract Elliptic curve cryptosystems offer security comparable to that of traditional asymmetric cryptosystems, such as those based on the RSA encryption and digital signature algorithms, with smaller keys and computationally more efficient algorithms.

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This thesis describes how an elliptic curve cryptosystem can be implemented on low cost microprocessors without coprocessors with reasonable performance. We focus in this paper on the Intel 8051 family of microcontrollers popular in smart cards and other cost-sensitive devices, and on the Motorola Dragonball, found in the Palm Computing Platform.

61p dunglh2013 02-04-2014 49 1   Download