Three-Pass Protocol Implementation in Vigenere Cipher Classic Cryptography Algorithm with Keystream Generator Modification
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Integral Cryptanalysis on Full MISTY1⋆
Integral Cryptanalysis on Full MISTY1? Yosuke Todo NTT Secure Platform Laboratories, Tokyo, Japan [email protected] Abstract. MISTY1 is a block cipher designed by Matsui in 1997. It was well evaluated and standardized by projects, such as CRYPTREC, ISO/IEC, and NESSIE. In this paper, we propose a key recovery attack on the full MISTY1, i.e., we show that 8-round MISTY1 with 5 FL layers does not have 128-bit security. Many attacks against MISTY1 have been proposed, but there is no attack against the full MISTY1. Therefore, our attack is the first cryptanalysis against the full MISTY1. We construct a new integral characteristic by using the propagation characteristic of the division property, which was proposed in 2015. We first improve the division property by optimizing a public S-box and then construct a 6-round integral characteristic on MISTY1. Finally, we recover the secret key of the full MISTY1 with 263:58 chosen plaintexts and 2121 time complexity. Moreover, if we can use 263:994 chosen plaintexts, the time complexity for our attack is reduced to 2107:9. Note that our cryptanalysis is a theoretical attack. Therefore, the practical use of MISTY1 will not be affected by our attack. Keywords: MISTY1, Integral attack, Division property 1 Introduction MISTY [Mat97] is a block cipher designed by Matsui in 1997 and is based on the theory of provable security [Nyb94,NK95] against differential attack [BS90] and linear attack [Mat93]. MISTY has a recursive structure, and the component function has a unique structure, the so-called MISTY structure [Mat96]. -
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International Journal of Integrated Engineering: Special Issue 2018: Data Information Engineering, Vol. 10 No. 6 (2018) p. 183-192. © Penerbit UTHM DOI: https://doi.org/10.30880/ijie.2018.10.06.026 Analysis of Four Historical Ciphers Against Known Plaintext Frequency Statistical Attack Chuah Chai Wen1*, Vivegan A/L Samylingam2, Irfan Darmawan3, P.Siva Shamala A/P Palaniappan4, Cik Feresa Mohd. Foozy5, Sofia Najwa Ramli6, Janaka Alawatugoda7 1,2,4,5,6Information Security Interest Group (ISIG), Faculty Computer Science and Information Technology University Tun Hussein Onn Malaysia, Batu Pahat, Johor, Malaysia E-mail: [email protected], [email protected], {shamala, feresa, sofianajwa}@uthm.edu.my 3School of Industrial Engineering, Telkom University, 40257 Bandung, West Java, Indonesia 7Department of Computer Engineering, University of Peradeniya, Sri Lanka E-mail: [email protected] Received 28 June 2018; accepted 5August 2018, available online 24 August 2018 Abstract: The need of keeping information securely began thousands of years. The practice to keep the information securely is by scrambling the message into unreadable form namely ciphertext. This process is called encryption. Decryption is the reverse process of encryption. For the past, historical ciphers are used to perform encryption and decryption process. For example, the common historical ciphers are Hill cipher, Playfair cipher, Random Substitution cipher and Vigenère cipher. This research is carried out to examine and to analyse the security level of these four historical ciphers by using known plaintext frequency statistical attack. The result had shown that Playfair cipher and Hill cipher have better security compare with Vigenère cipher and Random Substitution cipher. -
What Is a Cryptosystem?
Cryptography What is a Cryptosystem? • K = {0, 1}l • P = {0, 1}m • C′ = {0, 1}n,C ⊆ C′ • E : P × K → C • D : C × K → P • ∀p ∈ P, k ∈ K : D(E(p, k), k) = p • It is infeasible to find F : P × C → K Let’s start again, in English. Steven M. Bellovin September 13, 2006 1 Cryptography What is a Cryptosystem? A cryptosystem is pair of algorithms that take a key and convert plaintext to ciphertext and back. Plaintext is what you want to protect; ciphertext should appear to be random gibberish. The design and analysis of today’s cryptographic algorithms is highly mathematical. Do not try to design your own algorithms. Steven M. Bellovin September 13, 2006 2 Cryptography A Tiny Bit of History • Encryption goes back thousands of years • Classical ciphers encrypted letters (and perhaps digits), and yielded all sorts of bizarre outputs. • The advent of military telegraphy led to ciphers that produced only letters. Steven M. Bellovin September 13, 2006 3 Cryptography Codes vs. Ciphers • Ciphers operate syntactically, on letters or groups of letters: A → D, B → E, etc. • Codes operate semantically, on words, phrases, or sentences, per this 1910 codebook Steven M. Bellovin September 13, 2006 4 Cryptography A 1910 Commercial Codebook Steven M. Bellovin September 13, 2006 5 Cryptography Commercial Telegraph Codes • Most were aimed at economy • Secrecy from casual snoopers was a useful side-effect, but not the primary motivation • That said, a few such codes were intended for secrecy; I have some in my collection, including one intended for union use Steven M. -
A Covert Encryption Method for Applications in Electronic Data Interchange
Technological University Dublin ARROW@TU Dublin Articles School of Electrical and Electronic Engineering 2009-01-01 A Covert Encryption Method for Applications in Electronic Data Interchange Jonathan Blackledge Technological University Dublin, [email protected] Dmitry Dubovitskiy Oxford Recognition Limited, [email protected] Follow this and additional works at: https://arrow.tudublin.ie/engscheleart2 Part of the Digital Communications and Networking Commons, Numerical Analysis and Computation Commons, and the Software Engineering Commons Recommended Citation Blackledge, J., Dubovitskiy, D.: A Covert Encryption Method for Applications in Electronic Data Interchange. ISAST Journal on Electronics and Signal Processing, vol: 4, issue: 1, pages: 107 -128, 2009. doi:10.21427/D7RS67 This Article is brought to you for free and open access by the School of Electrical and Electronic Engineering at ARROW@TU Dublin. It has been accepted for inclusion in Articles by an authorized administrator of ARROW@TU Dublin. For more information, please contact [email protected], [email protected]. This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 License A Covert Encryption Method for Applications in Electronic Data Interchange Jonathan M Blackledge, Fellow, IET, Fellow, BCS and Dmitry A Dubovitskiy, Member IET Abstract— A principal weakness of all encryption systems is to make sure that the ciphertext is relatively strong (but not that the output data can be ‘seen’ to be encrypted. In other too strong!) and that the information extracted is of good words, encrypted data provides a ‘flag’ on the potential value quality in terms of providing the attacker with ‘intelligence’ of the information that has been encrypted. -
A New Cryptosystem for Ciphers Using Transposition Techniques
Published by : International Journal of Engineering Research & Technology (IJERT) http://www.ijert.org ISSN: 2278-0181 Vol. 8 Issue 04, April-2019 A New Cryptosystem for Ciphers using Transposition Techniques U. Thirupalu Dr. E. Kesavulu Reddy FCSRC (USA) Research Scholar Assistant Professor, Dept. of Computer Science Dept. of Computer Science S V U CM&CS – Tirupati S V U CM&CS - Tirupati India – 517502 India – 517502 Abstract:- Data Encryption techniques is used to avoid the performs the decryption. Cryptographic algorithms are unauthorized access original content of a data in broadly classified as Symmetric key cryptography and communication between two parties, but the data can be Asymmetric key cryptography. recovered only through using a key known as decryption process. The objective of the encryption is to secure or save data from unauthorized access in term of inspecting or A. Symmetric Cryptography adapting the data. Encryption can be implemented occurs by In the symmetric key encryption, same key is used for both using some substitute technique, shifting technique, or encryption and decryption process. Symmetric algorithms mathematical operations. By adapting these techniques we more advantageous with low consuming with more can generate a different form of that data which can be computing power and it works with high speed in encrypt difficult to understand by any person. The original data is them. The symmetric key encryption takes place in two referred to as the plaintext and the encrypted data as the modes either as the block ciphers or as the stream ciphers. cipher text. Several symmetric key base algorithms have been The block cipher mode provides, whole data is divided into developed in the past year. -
"Cyber Security" Activity
Cyber Security Keeping your information safe Standards: (Core ideas related to the activity) NGSS: ETS1.B – A solution needs to be tested and them modified on the basis of the test results in order to improve it MS-PS4.C – Digitized signals sent as wave pulses are a more reliable way to encode and transmit information CC Math: 5.OA-3 – Analyze patterns and relationships K12CS: 3-5 CS-Devices – Computing devices may be connected to other devices or components to extend their capabilities. Connections can take many forms such as physical or wireless. 3-5 N&I-Cybersecurity – Information can be protected using various security measures. These measures can be physical or digital 3-5 IoC-Culture – The development and modification of computing technology is driven by people’s needs and wants and can affect different groups differently 6-8 CS-Devices – The interaction between humans and computing devices presents advantages, disadvantages, and unintended consequences. The study of human-computer interaction can improve the design of devices and extend the abilities of humans. 6-8 N&I-Cybersecurity – The information sent and received across networks can be protected from unauthorized access and modification in a variety of ways, such as encryption to maintain its confidentiality and restricted access to maintain its integrity. Security measures to safeguard online information proactively address the threat of breaches to personal and private data 6-8 A&P-Algorithms – Algorithms affect how people interact with computers and the way computers respond. People design algorithms that are generalizable to many situations 6-8 IoC-Culture – Advancements in computing technology change people’s everyday activities. -
Caesar's Cipher Is a Monoalphabetic
Mathematical summer in Paris - Cryptography Exercise 1 (Caesar’s cipher ?) Caesar’s cipher is a monoalphabetic encryption method where all letters in the alphabet are shifted by a certain constant d. For example, with d = 3, we obtain A ! D; B ! E;:::; Y ! B; Z ! C: 1. Translate the encryption function f in algebraic terms. What is the decryption function g? 2. What is the key in Caesar’s cipher? How many keys are possible? 3. Decrypt the ciphertext LIPPSASVPH. Exercise 2 (Affine encryption ?) We now want to study a more general kind of encryption method, called affine encryption. We represent each letter in the latin alphabet by its position in the alphabet, starting with 0, i.e. A ! 0; B ! 1; C ! 2;:::; Z ! 25; and we consider the map f : x ! ax + b mod 26; where a and b are fixed integers between 0 and 25. We want to use the map f to encrypt each letter in the plaintext. 1. What happens if we choose a = 1? We now choose a = 10 and b = 3. def 2. Let 0 ≤ y ≤ 25 such that y = f(x) = 10x + 3 mod 26. Prove that there exists k 2 Z such that y = 10x + 26k + 3. 3. Prove that y is always odd. 4. What can we say about this encryption method? We now choose a = 9 and b = 4. 5. Find an integer u 2 Z such that 9u = 1 mod 26. 6. Explain why the equation y = 9x + 4 mod 26, with 0 ≤ y ≤ 25, always has a solution. -
The Mathemathics of Secrets.Pdf
THE MATHEMATICS OF SECRETS THE MATHEMATICS OF SECRETS CRYPTOGRAPHY FROM CAESAR CIPHERS TO DIGITAL ENCRYPTION JOSHUA HOLDEN PRINCETON UNIVERSITY PRESS PRINCETON AND OXFORD Copyright c 2017 by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, 6 Oxford Street, Woodstock, Oxfordshire OX20 1TR press.princeton.edu Jacket image courtesy of Shutterstock; design by Lorraine Betz Doneker All Rights Reserved Library of Congress Cataloging-in-Publication Data Names: Holden, Joshua, 1970– author. Title: The mathematics of secrets : cryptography from Caesar ciphers to digital encryption / Joshua Holden. Description: Princeton : Princeton University Press, [2017] | Includes bibliographical references and index. Identifiers: LCCN 2016014840 | ISBN 9780691141756 (hardcover : alk. paper) Subjects: LCSH: Cryptography—Mathematics. | Ciphers. | Computer security. Classification: LCC Z103 .H664 2017 | DDC 005.8/2—dc23 LC record available at https://lccn.loc.gov/2016014840 British Library Cataloging-in-Publication Data is available This book has been composed in Linux Libertine Printed on acid-free paper. ∞ Printed in the United States of America 13579108642 To Lana and Richard for their love and support CONTENTS Preface xi Acknowledgments xiii Introduction to Ciphers and Substitution 1 1.1 Alice and Bob and Carl and Julius: Terminology and Caesar Cipher 1 1.2 The Key to the Matter: Generalizing the Caesar Cipher 4 1.3 Multiplicative Ciphers 6 -
A Secure Variant of the Hill Cipher
† A Secure Variant of the Hill Cipher Mohsen Toorani ‡ Abolfazl Falahati Abstract the corresponding key of each block but it has several security problems [7]. The Hill cipher is a classical symmetric encryption In this paper, a secure cryptosystem is introduced that algorithm that succumbs to the know-plaintext attack. overcomes all the security drawbacks of the Hill cipher. Although its vulnerability to cryptanalysis has rendered it The proposed scheme includes an encryption algorithm unusable in practice, it still serves an important that is a variant of the Affine Hill cipher for which a pedagogical role in cryptology and linear algebra. In this secure cryptographic protocol is introduced. The paper, a variant of the Hill cipher is introduced that encryption core of the proposed scheme has the same makes the Hill cipher secure while it retains the structure of the Affine Hill cipher but its internal efficiency. The proposed scheme includes a ciphering manipulations are different from the previously proposed core for which a cryptographic protocol is introduced. cryptosystems. The rest of this paper is organized as follows. Section 2 briefly introduces the Hill cipher. Our 1. Introduction proposed scheme is introduced and its computational costs are evaluated in Section 3, and Section 4 concludes The Hill cipher was invented by L.S. Hill in 1929 [1]. It is the paper. a famous polygram and a classical symmetric cipher based on matrix transformation but it succumbs to the 2. The Hill Cipher known-plaintext attack [2]. Although its vulnerability to cryptanalysis has rendered it unusable in practice, it still In the Hill cipher, the ciphertext is obtained from the serves an important pedagogical role in both cryptology plaintext by means of a linear transformation. -
Division Property: Efficient Method to Estimate Upper Bound of Algebraic Degree
Division Property: Efficient Method to Estimate Upper Bound of Algebraic Degree Yosuke Todo1;2 1 NTT Secure Platform Laboratories, Tokyo, Japan [email protected] 2 Kobe University, Kobe, Japan Abstract. We proposed the division property, which is a new method to find integral characteristics, at EUROCRYPT 2015. In this paper, we expound the division property, its effectiveness, and follow-up results. Higher-Order Differential and Integral Cryptanalyses. After the pro- posal of the differential cryptanalysis [1], many extended cryptanalyses have been proposed. The higher-order differential cryptanalysis is one of such extensions. The concept was first introduced by Lai [6] and the advantage over the classical differential cryptanalysis was studied by Knudsen [4]. Assuming the algebraic degree of the target block cipher Ek is upper-bounded by d for any k, the dth order differential is always constant. Then, we can distinguish the target cipher Ek as ideal block ciphers because it is unlikely that ideal block ciphers have such property, and we call this property the higher-order differential characteristics in this paper. The similar technique to the higher-order differential cryptanalysis was used as the dedicated attack against the block cipher Square [3], and the dedicated attack was later referred to the square attack. In 2002, Knudsen and Wagner formalized the square attack as the integral cryptanalysis [5]. In the integral cryptanalysis, attackers first prepare N chosen plaintexts. If the XOR of all cor- responding ciphertexts is 0, we say that the cipher has an integral characteristic with N chosen plaintexts. The integral characteristic is found by evaluating the propagation of four integral properties: A, C, B, and U. -
Performance Analysis of Advanced Encryption Standard (AES) S-Boxes
International Journal of Recent Technology and Engineering (IJRTE) ISSN: 2277-3878, Volume-9, Issue-1, May 2020 Performance Analysis of Advanced Encryption Standard (AES) S-boxes Eslam w. afify, Abeer T. Khalil, Wageda I. El sobky, Reda Abo Alez Abstract : The Advanced Encryption Standard (AES) algorithm The fundamental genuine data square length for AES is 128 is available in a wide scope of encryption packages and is the bits that as it might; the key length for AES possibly 128, single straightforwardly accessible cipher insisted by the 192, or 256 bits [2, 3]. The conversation is focused on National Security Agency (NSA), The Rijndael S-box is a Rijndael S-Box yet a huge amount of the trade can in like substitution box S-Box assumes a significant job in the AES manner be associated with the ideal security of block cipher algorithm security. The quality of S-Box relies upon the plan and mathematical developments. Our paper gives an outline of AES and the objective of the cryptanalysis. As follows the paper S-Box investigation, the paper finds that algebraic attack is the is sorted out: Section II gives a detailed analysis of the most security gap of AES S-Box, likewise give a thought structure of the AES. Section III scope in the cryptanalysis regarding distinctive past research to improve the static S- study of algebraic techniques against block ciphers, gives a confines that has been utilized AES, to upgrade the quality of detailed analysis of S-Box algebraic structure and AES Performance by shocking the best S-box. -
Optimization and Guess-Then-Solve Attacks in Cryptanalysis
Optimization and Guess-then-Solve Attacks in Cryptanalysis Guangyan Song A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy of University College London. Department of Computer Science University College London December 4, 2018 2 I, Guangyan Song, confirm that the work presented in this thesis is my own. Where information has been derived from other sources, I confirm that this has been indicated in the work. Abstract In this thesis we study two major topics in cryptanalysis and optimization: software algebraic cryptanalysis and elliptic curve optimizations in cryptanalysis. The idea of algebraic cryptanalysis is to model a cipher by a Multivariate Quadratic (MQ) equation system. Solving MQ is an NP-hard problem. However, NP-hard prob- lems have a point of phase transition where the problems become easy to solve. This thesis explores different optimizations to make solving algebraic cryptanalysis problems easier. We first worked on guessing a well-chosen number of key bits, a specific opti- mization problem leading to guess-then-solve attacks on GOST cipher. In addition to attacks, we propose two new security metrics of contradiction immunity and SAT immunity applicable to any cipher. These optimizations play a pivotal role in recent highly competitive results on full GOST. This and another cipher Simon, which we cryptanalyzed were submitted to ISO to become a global encryption standard which is the reason why we study the security of these ciphers in a lot of detail. Another optimization direction is to use well-selected data in conjunction with Plaintext/Ciphertext pairs following a truncated differential property.