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Secure Passwords Using Combinatorial Group Theory

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Journal of Information Security 2018年第2期9卷 154-167页

作者： Gilbert Baumslag Benjamin Fine Anja Moldenhauer Gerhard Rosenberger Department of Mathematics City University New York USA Department of Mathematics Fairfield University Fairfield CT USA Department of Mathematics University of Hamburg Hamburg Germany

Password security is a crucial component of modern internet security. In this paper, we present a provably secure method for password verification using combinatorial group theory. This method relies on the group randomizer system, a subset of the MAGNUS computer algebra system and corrects most of the present problems with challenge response systems, the most common types of password verification. Theoretical security of the considered method depends on several results in asymptotic group theory. We mention further that this method has applications for many other password situations including container security.

关键词： Password Security Combinatorial Group Theory Free Group cryptography Group Randomizer System

Cryptanalysis and Improvement of Piveteau Signature Scheme with Message Recovery

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Tsinghua Science and Technology 2003年第2期8卷 198-200页

作者：李子臣成军祥戴一奇 Department of Computer Science and Technology Tsinghua UniversityBeijing 100084China Department of Mathematics Jiaozuo Institute of Technology Jiaozuo 454159 China

Piveteau signature scheme allows message recovery but the methodology differs from that of the Nyberg-Rueppel schemes. This paper analyzes the security of the Piveteau scheme by designing some attacks. Two improved methods to Piveteau signature scheme and Nyberg-Rueppel schemes were developed to avoid these weaknesses. Analyses of the security of the improved schemes prove that the improved methods can effectively handle the attacks proposed in this paper.

关键词： digital signature message recovery cryptanalysis cryptography

Security Challenges and Countermeasures for the Heterogeneity of IoT Applications

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Journal of Autonomous Intelligence 2018年第2期1卷 16-22页

作者： Deepak Choudhary Associate Professor in Electronics &Communication DepartmentABES Engg. College Ghaziabad UP India engg_deepak@***

The Internet of Things (IoT) enables the integration of data from virtual and physical worlds. It involves smart objects that can understand and react to their environment in a variety of industrial, commercial and household settings. As the IoT expands the number of connected devices, there is the potential to allow cyber-attackers into the physical world in which we live, as they seize on security holes in these new systems. New security issues arise through the heterogeneity of IoT applications and devices and their large-scale deployment.

关键词： IOT Heterogeneity Security Networking cyber-attacker deployment datagram transport layer security cryptography

The Steganalysis of an Ancient Text with an Intelligent Structure

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The Steganalysis of an Ancient Text with an Intelligent Stru...

2005年全国理论计算机科学学术年会

作者： Mohamed Lahcen BenSaad 孙星明陈火旺湖南大学计算机与通信学院湖南大学计算机与通信学院国防科技大学计算机学院

＜正＞ In this information era, new facts have been discovered in an ancient document after digitizing it. Although these facts are much more related to the steganography and authentication, but they are not classified in this field. This paper will try to formulate some of the astonishing facts and introduce the steganalysis of this document to the steganography community. We’ll see that the facts are really surprising, and touch at the heart of steganography, information security and authentication. The real art of information hiding has been used in the document, which is fourteen hundred years old. The document has been structured in a very unique way, and its text has been worded following a marvelous mathematical pattern that helps us to verify the integrity and the authenticity of the document. We’ll see also that the document has used a novel （in fact is the oldest） variations of checksums and public keys.

关键词： Natural language watermarking cryptography Steganography Information hiding Miracles of quran

A Review of Existing 4-Bit Crypto S-Box Cryptanalysis Techniques and Two New Techniques with 4-Bit Boolean Functions for Cryptanalysis of 4-Bit Crypto S-Boxes

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Advances in Pure Mathematics 2018年第3期8卷 272-306页

作者： Sankhanil Dey Ranjan Ghosh Institute of Radio Physics and Electronics University of Calcutta Kolkata India

4-bit linear relations play an important role in cryptanalysis of 4-bit crypto S-boxes. 4-bit finite differences have also been a major part of cryptanalysis of 4-bit S-boxes. Existence of all 4-bit linear relations have been counted for all of 16 input and 16 output 4-bit bit patterns of 4-bit Crypto S-boxes said as S-boxes has been reported in Linear Cryptanalysis of 4-bit S-boxes. Count of existing finite differences from each element of output S-boxes to distant output S-boxes have been noted in Differential Cryptanalysis of S-boxes. In this paper a brief review of these two cryptanalytic methods for 4-bit S-boxes has been introduced in a very lucid and conceptual manner. Two new analysis techniques, one to search for the existing linear approximations among the input vectors (IPVs) and output Boolean functions (BFs) of a particular S-box has also been introduced in this paper. The search is limited to find the existing linear relations or approximations in the contrary to count the number of existent linear relations among all 16, 4-bit input and output bit patterns within all possible linear approximations. Another is to find number of balanced BFs in difference output S-boxes. Better the number of Balanced BFs, Better the security.

关键词： Linear Cryptanalysis Differential Cryptanalysis Substitution Boxes S-Boxes cryptography Cryptanalysis

A New Proxy Signature Scheme with Message Recovery Using Self-Certified Public Key

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A New Proxy Signature Scheme with Message Recovery Using Sel...

The 1st Chinese Conference on Trusted Computing and Information Security

作者： LI Ji-guo. ZHANG Yi-chen. ZHU Yue-long College of Computer and Information Engineering, Hohai University, Nanjing 210098, Jiangsu, China

＜正＞ A proxy signature scheme with message recovery using self-certified public key is proposed. which withstands public key substitution attacks, active attacks, and forgery attacks. The proposed scheme accomplishes the tasks of public key verification, proxy signature verification, and message recovery in a logically single step. In addition, the proposed scheme satisfies all properties of strong proxy signature and does not use secure channel in the communication between the original signer and the proxy signature signer.

关键词： cryptography proxy signature self-certified public key non-repudiation

A New （t, n） Threshold Signature Scheme Withstanding the Conspiracy Attack

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A New （t, n） Threshold Signature Scheme Withstanding the C...

The 1st Chinese Conference on Trusted Computing and Information Security

作者： XIE Qi, YU Xiu-yuan Department of Mathematics,Zhejiang University. Hangzhou 310027. Zhejiang,China: School of Information and Engineering, Hangzhou Teachers College. Hangzhou ,310012. Zhejiang, China Hangzhou Teachers College, Hangzhou 310012, Zhejiang, China

＜正＞ A conspiracy attack is proposed to show that Wang-Li’s scheme is insecure, because any t or more group members can impersonate other t members to sign any message without holding the responsibility. To avoid t... 详细信息

关键词： cryptography threshold signature conspiracy attack identifier tracing

An FPGA Implementation of GF（p） Elliptic Curve Cryptographic Coprocessor

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An FPGA Implementation of GF（p） Elliptic Curve Cryptograph...

The 1st Chinese Conference on Trusted Computing and Information Security

作者： LIU Yu-zhen ,QIN Zhong-ping, ZHANG Huan-guo School of Computer, Wuhan University, Wuhan 430072, Hubei, China School of Software, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China

＜正＞ A GF（p） elliptic curve cryptographic coprocessor is proposed and implemented on Field Programmable Gate Array （FPGA）. The focus of the coprocessor is on the most critical, complicated and time-consuming point multiplications. The technique of coordinates conversion and fast multiplication algorithm of two large integers are utilized to avoid frequent inversions and to accelerate the field multiplications used in point multiplications. The characteristic of hardware parallelism is considered in the implementation of point multiplications. The coprocessor implemented on XILINX XC2V3000 computes a point multiplication for an arbitrary point on a curve defined over GF（2192-264-1） with the frequency of 10 MHz in 4. 40 ms in the average case and 5. 74 ms in the worst case. At the same circumstance, the coprocessor implemented on XILINX XC2V4000 takes 2. 2 ms in the average case and 2. 88 ms in the worst case.

关键词： elliptic curve cryptosystems cryptographic coprocessor cryptography information security

An Algebraic Proof of the Associative Law of Elliptic Curves

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Advances in Pure Mathematics 2017年第12期7卷 649-659页

作者： Kazuyuki Fujii Hiroshi Oike International College of Arts and Sciences Yokohama City University Yokohama Japan Takado Yamagata Japan

In this paper we revisit the addition of elliptic curves and give an algebraic proof to the associative law by use of MATHEMATICA. The existing proofs of the associative law are rather complicated and hard to understand for beginners. An ‘‘elementary” proof to it based on algebra has not been given as far as we know. Undergraduates or non-experts can master the addition of elliptic curves through this paper. After mastering it they should challenge the elliptic curve cryptography.

关键词： Elliptic Curve Addition Associative Law MATHEMATICA Elliptic Curve cryptography