流密码中的单圈T-函数

T-函数由于具有计算速度快、密码学性质良好等特点而得到广泛应用,先后用于构造分组密码、Hash函数和流密码。单圈T-函数可以用来代替流密码中的线性反馈移位寄存器,逐渐用来构建新的流密码体制。文中介绍了单圈T-函数的性质,概括了长周期单圈T-函数已知的三种类型,推广了T-函数的定义,有利构造新的长周期单圈T-函数。并总结了关于单圈T-函数值得进一步研究的几个问题。     

对称布尔函数的密码特性与计数

对称性是用于密码体制的布尔函数准则之一。本文研究了对称布尔函数的扩散特性、雪崩特性和相关免疫特性，讨论了满足以上密码准则（尤其是高阶准则）的对称布尔函数的性质和计数问题。     

分组密码中的代替－置换网络的差分特性研究

本文研究了作为分组密码中代替－置换网络的布尔函数的差分特性，首次定义并讨论了布尔函数差分重量与差分定序特征矩阵的性质，给出了一种构造满足文献［６］提出的１阶ｄｉｆｆｕｓｉｏｎ准则的代替－置换网络的方法，这种分组密码体制对差分密码分析具有一定的免疫性。     

关于抗熵漏函数的研究

本文首先针对差分密码分析方法，讨论了在迭代密码体制中如何选用迭代函数使其抗熵漏；其次针对最佳仿射副近分析方法，论述了在流密码体制中如何选用组合或滤波函数使其抗熵漏；最后针对分别征服分析方法，说明了在流密码体制中怎样选用组合或滤波函数使其抗熵漏。     

部分Bent函数的构造

部分Bent函数是一类具有若干优良密码学性质的函数,在流密码和分组密码的设计中有着重要的作用.文中以Walsh谱和自相关函数为工具,通过级联Bent函数的方法,构造出一类部分Bent函数,该函数是平衡的且具有高非线性度,同时给出了该函数的其它一些密码学性质.     

分组密码中的代替—置换网络的差分特性研究

本文研究了作为分组密码中代替置换网络的布尔函数的差分特性，首次定义并讨论了布尔函数差分重量与差分定序特征矩阵的性质，给出了一种构造满足文献「６」提出的１阶ｄｉｆｆｕｓｉｏｎ准则的代替－置换网络的方法，这种分组密码组体制对差分密友分析具有一定的免疫性。     

Plateaued函数的密码学性质

Plateaued函数是包含Bent函数和部分Bent函数的更大函数类,是一类密码学性质优良的密码函数,在非线性组合函数的设计中有重要的应用。该文以Walsh谱和白相关系数为工具,从密码函数的角度证明了r阶Plateaued函数的全体线性结构构成的子空间维数的上界为n-r,且等号成立当且仅当f（x）为部分Bent函数,同时还给出了Plateaued函数的其他一些密码学性质。     

Plateaued函数的密码学性质

Plateaued函数是包含Bent函数和部分Bent函数的更大函数类,是一类密码学性质优良的密码函数,在非线性组合函数的设计中有重要的应用。该文以Walsh谱和自相关系数为工具,从密码函数的角度证明了r阶Plateaued函数的全体线性结构构成的子空间维数的上界为n-r,且等号成立当且仅当f(x)为部分Bent函数,同时还给出了Plateaued函数的其他一些密码学性质。     

DES的S盒的布尔性质

在密码学的历史上,数据加密标准DES是上个世纪七十年代提出的一个非常重要的对称密码算法,布尔函数的代数免疫度是2003年提出来的抵抗流密码的代数攻击的一个重要指标.S盒是DES中唯一的非线性部分,从布尔函数的观点,研究DES的八个S盒所构造的32布尔函数的代数免疫度和非线性度等密码学性质,这些函数都是六个变量的布尔函数.文中的计算结果表明,所有32个布尔函数的代数免疫度都达到了其理论上的最大值3.     

RSA公钥密码体制及其在SET协议中的应用

SET协议是电子商务中最为重要的安全协议之一,其关键技术有数据加解密技术、数字签名、数字信封、CA数字证书技术。这些技术的实现均以RSA公钥密码体制为基础。文中首先分析了RSA密码体制的基本原理,然后研究了RSA密码体制在SET协议中的应用。     

Immunizing public key cryptosystems against chosen ciphertextattacks

Three methods for strengthening public key cryptosystems in such a way that they become secure against adaptively chosen ciphertext attacks are presented. In an adaptively chosen ciphertext attack, an attacker can query the deciphering algorithm with any ciphertext except for the exact object ciphertext to be cryptanalyzed. The first strengthening method is based on the use of one-way hash functions, the second on the use of universal hash functions, and the third on the use of digital signature schemes. Each method is illustrated by an example of a public key cryptosystem based on the intractability of computing discrete logarithms in finite fields. Security of the three example cryptosystems is formally proved. Two other issues, namely, applications of the methods to public key cryptosystems based on other intractable problems and enhancement of information authentication capability to the cryptosystems, are also discussed     

关于非对称含错学习问题的困难性研究

由于基于最坏情况困难假设等优点，基于格的密码被认为是最具前景的抗量子密码研究方向。作为格密码的常用的两个主要困难问题之一，含错学习(LWE)问题被广泛用于密码算法的设计。为了提高格密码算法的性能，Zhang等人(2019)提出了非对称含错学习问题，该文将从理论上详细研究非对称含错学习问题和标准含错学习问题关系，并证明在特定错误分布下非对称含错学习问题和含错学习问题是多项式时间等价的，从而为基于非对称含错学习问题设计安全的格密码算法奠定了理论基础。     

Biometric cryptosystems: issues and challenges

In traditional cryptosystems, user authentication is based on possession of secret keys; the method falls apart if the keys are not kept secret (i.e., shared with non-legitimate users). Further, keys can be forgotten, lost, or stolen and, thus, cannot provide non-repudiation. Current authentication systems based on physiological and behavioral characteristics of persons (known as biometrics), such as fingerprints, inherently provide solutions to many of these problems and may replace the authentication component of traditional cryptosystems. We present various methods that monolithically bind a cryptographic key with the biometric template of a user stored in the database in such a way that the key cannot be revealed without a successful biometric authentication. We assess the performance of one of these biometric key binding/generation algorithms using the fingerprint biometric. We illustrate the challenges involved in biometric key generation primarily due to drastic acquisition variations in the representation of a biometric identifier and the imperfect nature of biometric feature extraction and matching algorithms. We elaborate on the suitability of these algorithms for digital rights management systems.     

On the complexity of some cryptographic problems based on the general decoding problem

A new probabilistic algorithm for decoding one received word from a set of many given received words, into a codeword such that the Hamming distance between the received word and the codeword is at most t, is proposed. The new algorithm is applicable to several cryptographic problems, such as the Stern (1989, 1994) identification scheme, the McEliece (1978) public-key cryptosystem, and in correlation attacks on stream ciphers. When applicable, it runs significantly faster than previous algorithms used for attacks on these cryptosystems.     

ATTACKS ON REAL POLYNOMIAL TYPE PUBLIC-KEY CRYPTOSYSTEMS AND DISCUSSION ON RELATED PROBLEMS

The real polynomial type public-key cryptosystems are broken up by computing the equivalent secure keys, then some computational problems related to securities of cryptosystems are discussed.     

两种背包型的公钥密码算法的安全性分析

背包型公钥密码体制是几个最早的公钥密码体制之一,分析其安全性十分重要。该文对两种抵抗Shamir攻击和低密度攻击的背包型公钥密码体制进行了安全性分析,提出一种新的攻击方法,指出可以利用多项式时间算法以很大的概率找到私钥,从而破解了它们。     

Hardware Elliptic Curve Cryptographic Processor Over$rm GF(p)$

A novel hardware architecture for elliptic curve cryptography (ECC) over$ GF(p)$is introduced. This can perform the main prime field arithmetic functions needed in these cryptosystems including modular inversion and multiplication. This is based on a new unified modular inversion algorithm that offers considerable improvement over previous ECC techniques that use Fermat's Little Theorem for this operation. The processor described uses a full-word multiplier which requires much fewer clock cycles than previous methods, while still maintaining a competitive critical path delay. The benefits of the approach have been demonstrated by utilizing these techniques to create a field-programmable gate array (FPGA) design. This can perform a 256-bit prime field scalar point multiplication in 3.86 ms, the fastest FPGA time reported to date. The ECC architecture described can also perform four different types of modular inversion, making it suitable for use in many different ECC applications.     

超椭圆曲线密码体制的研究与进展

椭圆曲线密码是目前最流行的公钥密码体制,超椭圆曲线密码作为椭圆曲线密码的推广,近几年对它的研究也日益被人们重视.在该文中,作者就目前国内外对超椭圆曲线密码体制的研究现状作了综述,并提出了在超椭圆曲线密码体制的理论与实现中急需解决的几个问题.     

关于实多项式型公钥密码体制的破译和有关问题的探讨

本文通过计算等价密钥彻底破译了实多项式型公钥密码体制,同时讨论了与密码安全性有关的一些计算问题。     

量子搜索算法对NTRU密码体制的作用

Lattice-based cryptosystems rely on certain lattice problems for their security, such as the shortest vector and the closest vector problems. NTRU is a kind of lattice-based public key cryptosysytem gaining much attention because of its high efficiency. Its encryption and decryption use a mixing system suggested by polynomial algebra combined with a clustering principle based on elementary probability theory. With the availability of quantum computers, the security of cryptosystems based on classical mathematic problems needs to be reevaluated. Since lattice reduction is the main threat to lattice-based cryptosystems, lattice reduction using quantum search algorithms are analyzed to evaluate the security of NTRU in this paper. According to our results, original security parameters proposed for NTRU should be increased in the event that Grover's quantum search algorithm is used for lattice reduction.