Fuzz-Fortuna: a Fuzzified Approach to Generation of Cryptographically Secure Pseudo-Random Numbers
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An Enhanced Advanced Encryption Standard Algorithm
ISSN 2278 – 3091 International Journal of Advanced Trends in Computer Science and Engineering (IJATCSE), Vol. 4 , No.4 Pages : 28 - 33 (2015) Special Issue of ICEEC 2015 - Held on August 24, 2015 in The Dunes, Cochin, India http://warse.org/IJATCSE/static/pdf/Issue/iceec2015sp06.pdf An Enhanced Advanced Encryption Standard Algorithm Kshyamasagar Mahanta1, Hima Bindu Maringanti2 1Department of Computer Science & Engineering, North Orissa University, India, [email protected] 2Department of Computer Science & Engineering, North Orissa University, India, [email protected] modifying the shift row phase involved . Similarly, in 2010, Abstract: In today’s world most of the communication is El-Sayed Abdoul-Moaty ElBadawy et. al. and in 2011, done using electronic media. Data Security plays a vital role Zhang Zhao et. al. have modified the standard AES in such communication. Hence, there is a need to protect data algorithm by modifying the S-box generation using 1-D from malicious attacks. Cryptography is the study of logistic chaos equation . In 2011, Alireza Jolfaei et. al. have mathematical techniques related to aspects of information identified such issues and modified the standard algorithm by security such as confidentiality, data integrity, entity modifying the S-box using the chaotic baker’s map equations authentication and data origin authentication. In data and . telecommunications, cryptography is necessary when Here, we have followed a different approach by encrypting communicating over any unreliable medium, which includes the key used in the AES algorithm. For the key encryption, any network particularly the internet. we have used the RNG algorithm, which gives a unique Advanced Encryption Standard (AES), also known as random key for each time of encryption. -
A Practical Implementation of a One-Time Pad Cryptosystem
Jeff Connelly CPE 456 June 11, 2008 A Practical Implementation of a One-time Pad Cryptosystem 0.1 Abstract How to securely transmit messages between two people has been a problem for centuries. The first ciphers of antiquity used laughably short keys and insecure algorithms easily broken with today’s computational power. This pattern has repeated throughout history, until the invention of the one-time pad in 1917, the world’s first provably unbreakable cryptosystem. However, the public generally does not use the one-time pad for encrypting their communication, despite the assurance of confidentiality, because of practical reasons. This paper presents an implementation of a practical one-time pad cryptosystem for use between two trusted individuals, that have met previously but wish to securely communicate over email after their departure. The system includes the generation of a one-time pad using a custom-built hardware TRNG as well as software to easily send and receive encrypted messages over email. This implementation combines guaranteed confidentiality with practicality. All of the work discussed here is available at http://imotp.sourceforge.net/. 1 Contents 0.1 Abstract.......................................... 1 1 Introduction 3 2 Implementation 3 2.1 RelatedWork....................................... 3 2.2 Description ........................................ 3 3 Generating Randomness 4 3.1 Inadequacy of Pseudo-random Number Generation . 4 3.2 TrulyRandomData .................................... 5 4 Software 6 4.1 Acquiring Audio . 6 4.1.1 Interference..................................... 6 4.2 MeasuringEntropy................................... 6 4.3 EntropyExtraction................................ ..... 7 4.3.1 De-skewing ..................................... 7 4.3.2 Mixing........................................ 7 5 Exchanging Pads 8 5.1 Merkle Channels . 8 5.2 Local Pad Security . -
Cryptography Whitepaper
Cryptography Whitepaper Threema uses modern cryptography based on open source components that strike an optimal balance between security, performance and message size. In this whitepaper, the algorithms and design decisions behind the cryptography in Threema are explained. VERSION: JUNE 21, 2021 Contents Overview 4 Open Source 5 End-to-End Encryption 5 Key Generation and Registration 5 Key Distribution and Trust 6 Message Encryption 7 Group Messaging 8 Key Backup 8 Client-Server Protocol Description 10 Chat Protocol (Message Transport Layer) 10 Directory Access Protocol 11 Media Access Protocol 11 Cryptography Details 12 Key Lengths 12 Random Number Generation 13 Forward Secrecy 14 Padding 14 Repudiability 15 Replay Prevention 15 Local Data Encryption 15 iOS 15 Android 16 Key Storage 16 iOS 16 Android 16 Push Notifications 17 iOS 17 Android 17 Threema • Cryptography Whitepaper Address Book Synchronization 17 Linking 18 ID Revocation 19 An Example 19 Profile Pictures 19 Web Client 20 Architecture 20 Connection Buildup 21 WebRTC Signaling 22 WebRTC Connection Buildup 22 Trusted Keys / Stored Sessions 23 Push Service 23 Self Hosting 24 Links 24 Threema Calls 24 Signaling 24 Call Encryption 24 Audio Encoding 25 Video Encoding 25 Privacy / IP Exposure 25 Threema Safe 26 Overview 26 Backup Format 27 Encryption 27 Upload/Storage 27 Backup Intervals 28 Restore/Decryption 28 Running a Custom Threema Safe Server 28 Threema • Cryptography Whitepaper Overview Threema uses two different encryption layers to protect messages between the sender and the recipient. • End-to-end encryption layer: this layer is between the sender and the recipient. • Transport layer: each end-to-end encrypted message is encrypted again for transport between the client and the server, in order to protect the header information. -
ERHARD-RNG: a Random Number Generator Built from Repurposed Hardware in Embedded Systems
ERHARD-RNG: A Random Number Generator Built from Repurposed Hardware in Embedded Systems Jacob Grycel and Robert J. Walls Department of Computer Science Worcester Polytechnic Institute Worcester, MA Email: jtgrycel, [email protected] Abstract—Quality randomness is fundamental to crypto- only an external 4 MHz crystal oscillator and power supply. graphic operations but on embedded systems good sources are We chose this platform due to its numerous programmable pe- (seemingly) hard to find. Rather than use expensive custom hard- ripherals, its commonality in embedded systems development, ware, our ERHARD-RNG Pseudo-Random Number Generator (PRNG) utilizes entropy sources that are already common in a and its affordability. Many microcontrollers and Systems On a range of low-cost embedded platforms. We empirically evaluate Chip (SoC) include similar hardware that allows our PRNG to the entropy provided by three sources—SRAM startup state, be implemented, including chips from Atmel, Xilinx, Cypress oscillator jitter, and device temperature—and integrate those Semiconductor, and other chips from Texas Instruments. sources into a full Pseudo-Random Number Generator imple- ERHARD-RNG is based on three key insights. First, we mentation based on Fortuna [1]. Our system addresses a number of fundamental challenges affecting random number generation can address the challenge of collecting entropy at runtime by on embedded systems. For instance, we propose SRAM startup sampling the jitter of the low-power/low-precision oscillator. state as a means to efficiently generate the initial seed—even for Coupled with measurements of the internal temperature sensor systems that do not have writeable storage. Further, the system’s we can effectively re-seed our PRNG with minimal overhead. -
How to Eat Your Entropy and Have It Too — Optimal Recovery Strategies for Compromised Rngs
How to Eat Your Entropy and Have it Too — Optimal Recovery Strategies for Compromised RNGs Yevgeniy Dodis1?, Adi Shamir2, Noah Stephens-Davidowitz1, and Daniel Wichs3?? 1 Dept. of Computer Science, New York University. { [email protected], [email protected] } 2 Dept. of Computer Science and Applied Mathematics, Weizmann Institute. [email protected] 3 Dept. of Computer Science, Northeastern University. [email protected] Abstract. We study random number generators (RNGs) with input, RNGs that regularly update their internal state according to some aux- iliary input with additional randomness harvested from the environment. We formalize the problem of designing an efficient recovery mechanism from complete state compromise in the presence of an active attacker. If we knew the timing of the last compromise and the amount of entropy gathered since then, we could stop producing any outputs until the state becomes truly random again. However, our challenge is to recover within a time proportional to this optimal solution even in the hardest (and most realistic) case in which (a) we know nothing about the timing of the last state compromise, and the amount of new entropy injected since then into the state, and (b) any premature production of outputs leads to the total loss of all the added entropy used by the RNG. In other words, the challenge is to develop recovery mechanisms which are guaranteed to save the day as quickly as possible after a compromise we are not even aware of. The dilemma is that any entropy used prematurely will be lost, and any entropy which is kept unused will delay the recovery. -
Cryptography for Developers.Pdf
404_CRYPTO_FM.qxd 10/30/06 2:33 PM Page i Visit us at www.syngress.com Syngress is committed to publishing high-quality books for IT Professionals and delivering those books in media and formats that fit the demands of our cus- tomers. We are also committed to extending the utility of the book you purchase via additional materials available from our Web site. SOLUTIONS WEB SITE To register your book, visit www.syngress.com/solutions. Once registered, you can access our [email protected] Web pages. There you may find an assortment of value-added features such as free e-books related to the topic of this book, URLs of related Web site, FAQs from the book, corrections, and any updates from the author(s). ULTIMATE CDs Our Ultimate CD product line offers our readers budget-conscious compilations of some of our best-selling backlist titles in Adobe PDF form. These CDs are the perfect way to extend your reference library on key topics pertaining to your area of exper- tise, including Cisco Engineering, Microsoft Windows System Administration, CyberCrime Investigation, Open Source Security, and Firewall Configuration, to name a few. DOWNLOADABLE E-BOOKS For readers who can’t wait for hard copy, we offer most of our titles in download- able Adobe PDF form. These e-books are often available weeks before hard copies, and are priced affordably. SYNGRESS OUTLET Our outlet store at syngress.com features overstocked, out-of-print, or slightly hurt books at significant savings. SITE LICENSING Syngress has a well-established program for site licensing our e-books onto servers in corporations, educational institutions, and large organizations. -
Analysis of Entropy Usage in Random Number Generators
DEGREE PROJECT IN THE FIELD OF TECHNOLOGY ENGINEERING PHYSICS AND THE MAIN FIELD OF STUDY COMPUTER SCIENCE AND ENGINEERING, SECOND CYCLE, 30 CREDITS STOCKHOLM, SWEDEN 2017 Analysis of Entropy Usage in Random Number Generators KTH ROYAL INSTITUTE OF TECHNOLOGY SCHOOL OF COMPUTER SCIENCE AND COMMUNICATION Analysis of Entropy Usage in Random Number Generators JOEL GÄRTNER Master in Computer Science Date: September 16, 2017 Supervisor: Douglas Wikström Examiner: Johan Håstad Principal: Omegapoint Swedish title: Analys av entropianvändning i slumptalsgeneratorer School of Computer Science and Communication i Abstract Cryptographically secure random number generators usually require an outside seed to be initialized. Other solutions instead use a continuous entropy stream to ensure that the internal state of the generator always remains unpredictable. This thesis analyses four such generators with entropy inputs. Furthermore, different ways to estimate entropy is presented and a new method useful for the generator analy- sis is developed. The developed entropy estimator performs well in tests and is used to analyse en- tropy gathered from the different generators. Furthermore, all the analysed generators exhibit some seemingly unintentional behaviour, but most should still be safe for use. ii Sammanfattning Kryptografiskt säkra slumptalsgeneratorer behöver ofta initialiseras med ett oförutsägbart frö. En annan lösning är att istället konstant ge slumptalsgeneratorer entropi. Detta gör det möjligt att garantera att det interna tillståndet i generatorn hålls oförutsägbart. I den här rapporten analyseras fyra sådana generatorer som matas med entropi. Dess- utom presenteras olika sätt att skatta entropi och en ny skattningsmetod utvecklas för att användas till analysen av generatorerna. Den framtagna metoden för entropiskattning lyckas bra i tester och används för att analysera entropin i de olika generatorerna. -
Cryptgenrandom()
(Pseudo)Random Data PA193 – Secure coding Petr Švenda Zdeněk Říha Faculty of Informatics, Masaryk University, Brno, CZ Need for “random” data • Games • Simulations, … • Crypto – Symmetric keys – Asymmetric keys – Padding/salt – Initialization vectors – Challenges (for challenge – response protocols) – … “Random” data • Sometimes (games, simulations) we only need data with some statistical properties – Evenly distributed numbers (from an interval) – Long and complete cycle • Large number of different values • All values can be generated • In crypto we also need unpredictability – Even if you have seen all the “random” data generated until now you have no idea what will be the random data generated next “Random” data generators • Insecure random number generators – noncryptographic pseudo-random number generators – Often leak information about their internal state with each output • Cryptographic pseudo-random number generators (PRNGs) – Based on seed deterministically generate pseudorandom data • “True” random data generators – Entropy harvesters – gather entropy from other sources and present it directly What (pseudo)random data to use? • Avoid using noncryptographic random number generators • For many purposes the right way is to get the seed from the true random number generator and then use it in the pseudorandom number generator (PRNG) – PRNG are deterministic, with the same seed they produce the same pseudorandom sequence • There are situations, where PRNG are not enough – E.g. one time pad Noncryptographic generators • Standard rand()/srand(), random ()/srandom() functions – libc • “Mersenne Twister” • linear feedback shift registers • Anything else not labeled as cryptographic PRNG… • Not to be used for most purposes…. Noncryptographic generators Source: Writing secure code, 2nd edition Source: http://xkcd.com/ PRNG • Cryptographic pseudo-random number generators are still predictable if you somehow know their internal state. -
Preimages for Reduced SHA-0 and SHA-1
Preimages for Reduced SHA-0 and SHA-1 Christophe De Canni`ere1,2 and Christian Rechberger3 1 D´epartement d’Informatique Ecole´ Normale Sup´erieure, [email protected] 2 Katholieke Universiteit Leuven, Dept. ESAT/SCD-COSIC, and IBBT 3 Graz University of Technology Institute for Applied Information Processing and Communications (IAIK) [email protected] Abstract. In this paper, we examine the resistance of the popular hash function SHA-1 and its predecessor SHA-0 against dedicated preimage attacks. In order to assess the security margin of these hash functions against these attacks, two new cryptanalytic techniques are developed: – Reversing the inversion problem: the idea is to start with an impossible expanded message that would lead to the required di- gest, and then to correct this message until it becomes valid without destroying the preimage property. – P3graphs: an algorithm based on the theory of random graphs that allows the conversion of preimage attacks on the compression func- tion to attacks on the hash function with less effort than traditional meet-in-the-middle approaches. Combining these techniques, we obtain preimage-style shortcuts attacks for up to 45 steps of SHA-1, and up to 50 steps of SHA-0 (out of 80). Keywords: hash function, cryptanalysis, preimages, SHA-0, SHA-1, di- rected random graph 1 Introduction Until recently, most of the cryptanalytic research on popular dedicated hash functions has focused on collisions resistance, as can be seen from the successful attempts to violate the collision resistance property of MD4 [10], MD5 [32, 34], SHA-0 [6] and SHA-1 [13, 21, 33] using the basic ideas of differential cryptanaly- sis [2]. -
Package 'Rngsetseed'
Package ‘rngSetSeed’ February 15, 2013 Type Package Title Initialization of the R base random number generator Mersenne-Twister with a vector of an arbitrary length. Version 0.2-3 Date 2012-03-08 Author Petr Savicky Maintainer Petr Savicky <[email protected]> Description The package provides a function setVectorSeed(vseed). Its argument is a vector of arbitrary nonzero length, including length 1, whose components have integer values from [0, 2^32-1] and which is used to initialize the R base Mersenne-Twister random number generator. In order to guarantee that different input vectors yield unrelated streams of random numbers, a random number generator based on AES (Advanced Encryption Standard) is used for the transformation of vseed into the initial state of Mersenne-Twister. Due to the use of AES, the function provides a better alternative to R base function set.seed() even if vseed is a single integer. Initializing random number stream with a vector including a reproducible index of an R process allows to use reproducible and unrelated streams of random numbers in several independent R processes. The package contains test scripts, which verify its installation by comparing the output with a stored precomputed one and by comparing the encryption provided by C-level AES with an implementation of AES at the R-level, which is included for test purposes. See CRAN package ‘‘randaes’’ for a random number generator based purely on AES. License GPL-2 LazyLoad yes Repository CRAN 1 2 rngSetSeed-package Date/Publication 2012-03-08 14:22:01 NeedsCompilation yes R topics documented: rngSetSeed-package . -
Additional Source of Entropy As a Service in the Android User-Space
Faculty of Science Additional source of entropy as a service in the Android user-space Master Thesis B.C.M. (Bas) Visser Supervisors: dr. P. (Peter) Schwabe dr. V. (Veelasha) Moonsamy Nijmegen, July 2015 Abstract Secure encrypted communication on a smartphone or tablet requires a strong random seed as input for the encryption scheme. Android devices are based on the Linux kernel and are therefore provided with the /dev/random and /dev/urandom pseudo-random-number generators. /dev/random generates randomness from environmental sources but a number of papers have shown vulnerabilities in the entropy pool when there is a lack of user input. This thesis will research the possibility to provide additional entropy on the Android platform by extracting entropy from sensor data without the need for user input. The entropy level of this generated data is evaluated and this shows that it is feasible to extract randomness from the sensor data within reasonable time and using limited resources from the Android device. Finally, a prototype Android app is presented which uses generated sensor data as input for a stream cipher to create a pseudo-random-number generator in the Android user-space. This app can then be used as an additional source of randomness to strengthen random seeds for any process in the Android user-space on request. Additional source of entropy as a service in the Android user-space 1 Acknowledgements First I would like to thank my supervisor, Peter Schwabe. I started with a number of research projects that did not align with my interests and expertise. -
Ciphire Mail Email Encryption and Authentication
Ciphire Mail Email Encryption and Authentication Lars Eilebrecht Ciphire Labs [email protected] Abstract. Ciphire Mail is cryptographic software that provides email encryp- tion and digital signatures. The Ciphire Mail client resides on the user's com- puter between the email client and the email server, intercepting, encrypting, decrypting, signing, and authenticating email communication. During normal operation, all operations are performed in the background, making it very easy to use even for non-technical users. Ciphire Mail provides automated secure public-key exchange using an auto- mated fingerprinting system. It uses cryptographic hash values to identify and validate certificates, thus enabling clients to detect malicious modification of certificates. This data is automatically circulated among clients, making it im- possible to execute fraud without alerting users. The Ciphire system is a novel concept for making public-key cryptography and key exchange usable for email communication. It is the first transparent email encryption system that allows everyone to secure their communications without a steep learning curve. Keywords: Ciphire, secure email, email encryption, email authentication, digi- tal signatures, certificates, fingerprints, fingerprint system, PKI. Introduction Ciphire Mail is cryptographic software providing email encryption and digital signa- tures [24]. The Ciphire Mail client resides on the user's computer between the email client (mail user agent, MUA) and the email server (mail transfer agent, MTA), inter- cepting, encrypting, decrypting, signing, and authenticating email communication. During normal operation, all operations are performed in the background. This makes Ciphire Mail very similar to a transparent proxy. Apart from per-user installations, Ciphire Mail may also be deployed on mail servers as a gateway solution.