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Optimizing AES S-Box Implementation:A SAT-Based Approach with Tower Field Representations 认领 引用
1
作者 Jingya Feng Ying Zhao +1 位作者 Tao Ye Wei Feng 《Computers, Materials & Continua》 SCIE EI 2025年第4期1515-1531,共17页
The efficient implementation of the Advanced Encryption Standard(AES)is crucial for network data security.This paper presents novel hardware implementations of the AES S-box,a core component,using tower field represen... The efficient implementation of the Advanced Encryption Standard(AES)is crucial for network data security.This paper presents novel hardware implementations of the AES S-box,a core component,using tower field representations and Boolean Satisfiability(SAT)solvers.Our research makes several significant contri-butions to the field.Firstly,we have optimized the GF(24)inversion,achieving a remarkable 31.35%area reduction(15.33 GE)compared to the best known implementations.Secondly,we have enhanced multiplication implementa-tions for transformation matrices using a SAT-method based on local solutions.This approach has yielded notable improvements,such as a 22.22%reduction in area(42.00 GE)for the top transformation matrix in GF((24)2)-type S-box implementation.Furthermore,we have proposed new implementations of GF(((22)2)2)-type and GF((24)2)-type S-boxes,with the GF(((22)2)2)-type demonstrating superior performance.This implementation offers two variants:a small area variant that sets new area records,and a fast variant that establishes new benchmarks in Area-Execution-Time(AET)and energy consumption.Our approach significantly improves upon existing S-box implementations,offering advancements in area,speed,and energy consumption.These optimizations contribute to more efficient and secure AES implementations,potentially enhancing various cryptographic applications in the field of network security. 展开更多
关键词 AES S-box SAT optimization tower field hardware implementation area efficiency energy consumption
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实现AES算法中S-BOX和INV-S-BOX的高效方法 认领 引用 被引量：5
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作者 韩少男 李晓江 《微电子学》 CAS 北大核心 2010年第1期103-107,共5页
介绍了AES中的S-BOX和INV-S-BOX的算法原理,分析目前广泛使用的实现S-BOX和INV-S-BOX的三种方法:直接查表法,扩展欧几里德算法和基于复合域GF((22)2)2)的算法。对直接查表法和基于复合域GF((22)2)2)的算法进行改进,提出了两种改进电路... 介绍了AES中的S-BOX和INV-S-BOX的算法原理,分析目前广泛使用的实现S-BOX和INV-S-BOX的三种方法:直接查表法,扩展欧几里德算法和基于复合域GF((22)2)2)的算法。对直接查表法和基于复合域GF((22)2)2)的算法进行改进,提出了两种改进电路结构。通过综合仿真,给出了按照上述方法实现的硬件电路的面积和关键路径上的时间延迟。结果表明,提出的两种新实现方法与传统实现方法相比,电路面积分别有28%和22%的优化。 展开更多
关键词 AES算法 S-BOX INV-S-BOX Galois Field 复合Galois Field 乘法逆运算
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Efficient image encryption scheme with synchronous substitution and diffusion based on double S-boxes 认领 引用 被引量：2
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作者 Xuan-Ping Zhang Rui Guo +2 位作者 Heng-Wei Chen Zhong-Meng Zhao Jia-Yin Wang 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第8期170-178,共9页
Single or multiple S-boxes are widely used in image encryption schemes, and in many image encryption schemes the asynchronous encryption structure is utilized, which separates the processes of substitution and diffusi... Single or multiple S-boxes are widely used in image encryption schemes, and in many image encryption schemes the asynchronous encryption structure is utilized, which separates the processes of substitution and diffusion. In this paper, we analyze the defects of this structure based on the example of an article and crack it using a simpler method. To address the defects of the asynchronous encryption structure, a novel encryption scheme is proposed, in which the structure of synchronous substitution and diffusion based on double S-boxes is utilized, so the processes of substitution and diffusion are combined together and the attackers cannot crack the cryptosystem by any of the processes. The simulation results and security analysis show that the proposed encryption scheme is safer and more efficient to expediently use in the real-time system. 展开更多
关键词 image encryption S-box crack synchronous substitution and diffusion
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A Novel S-Box GenerationMethodology Based on the Optimized GANModel 认领 引用 被引量：3
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作者 Runlian Zhang Rui Shu +2 位作者 Yongzhuang Wei Hailong Zhang Xiaonian Wu 《Computers, Materials & Continua》 SCIE EI 2023年第8期1911-1927,共17页
S-boxes can be the core component of block ciphers,and how to efficiently generate S-boxes with strong cryptographic properties appears to be an important task in the design of block ciphers.In this work,an optimized ... S-boxes can be the core component of block ciphers,and how to efficiently generate S-boxes with strong cryptographic properties appears to be an important task in the design of block ciphers.In this work,an optimized model based on the generative adversarial network(GAN)is proposed to generate 8-bit S-boxes.The central idea of this optimized model is to use loss function constraints for GAN.More specially,the Advanced Encryption Standard(AES)S-box is used to construct the sample dataset via the affine equivalence property.Then,three models are respectively built and cross-trained to generate 8-bit S-boxes based on three extended frameworks of GAN,i.e.,Deep Convolution Generative Adversarial Networks(DCGAN),Wasserstein Generative Adversarial Networks(WGAN),and WassersteinGenerativeAdversarial NetworkwithGradient Penalty(WGANGP).Besides,an optimized model based onWGAN-GP referred to asWGPIM is also proposed,which adds the loss function constraints to the generator network of the WGAN-GP model,including bijection loss,differential uniformity loss,and nonlinearity loss.In this case,8-bit S-boxes can be generated with cross-training.Experimental results illustrate that the WGP-IM model can generate S-boxes with excellent cryptographic properties.In particular,the optimal differential uniformity of the generated S-boxes can be reduced to 8,and the nonlinearity can be up to 104.Compared with previous S-box generation methods,this new method is simpler and it can generate S-boxes with excellent cryptographic properties. 展开更多
关键词 S-box generative adversarial network loss function affine equivalence
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Rijndael S-box仿射运算研究 认领 引用 被引量：4
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作者 刘景美 韦宝典 王新梅 《西安电子科技大学学报》 EI CAS 北大核心 2005年第1期94-97,129,共4页
证明了有限域上q 多项式、n阶矩阵和线性函数间的等价关系;然后通过证明有限域上同一线性函数在严格不同基下对应不同矩阵,扩展出一种通用的方法快速确定有限域上线性函数和n阶矩阵间的线性关系;提出了有限域上q 多项式和n阶矩阵相互确... 证明了有限域上q 多项式、n阶矩阵和线性函数间的等价关系;然后通过证明有限域上同一线性函数在严格不同基下对应不同矩阵,扩展出一种通用的方法快速确定有限域上线性函数和n阶矩阵间的线性关系;提出了有限域上q 多项式和n阶矩阵相互确定的一种新方案,从本质上解释了RijndaelS box代数表达式的简洁性. 展开更多
关键词 AES Rijndael S-box 有限域 q-多项式
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An image encryption algorithm based on improved baker transformation and chaotic S-box 认领 引用 被引量：4
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作者 Xing-Yuan Wang Huai-Huai Sun Hao Gao 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第6期216-225,共10页
The algorithm is an image encryption algorithm based on the improved baker transformation and chaotic substitution box(S-box). It mainly uses the initial values and parameters of a one-dimensional logistic chaotic sys... The algorithm is an image encryption algorithm based on the improved baker transformation and chaotic substitution box(S-box). It mainly uses the initial values and parameters of a one-dimensional logistic chaotic system as an encryption key. Specifically, in the image scrambling stage, the algorithm primarily uses an improved baker transform method to process the image. In the image diffusion stage, the algorithm first uses the chaotic S-box method to process the encryption key. Secondly, an exclusive OR(XOR) operation is performed on the image and the encryption key to initially diffuse the image. Finally, the image is again diffused using the method of ortho XOR. Simulation analysis shows that the algorithm can achieve good encryption effect, simple and easy implementation, and good security. In the digital image communication transmission, it has good practical value. 展开更多
关键词 image encryption improved baker transformation chaotic S-box chaotic sequence
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A low-power Rijndael S-Box based on pass transmission gate and composite field arithmetic 认领 引用 被引量：2
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作者 ZENG Yong-hong ZOU Xue-cheng +1 位作者 LIU Zheng-lin LEI Jian-ming 《Journal of Zhejiang University-SCIENCE A》 SCIE EI CAS 2007年第10期1553-1559,共7页
Using composite field arithmetic in Galois field can result in the compact Rijndael S-Box. However, the power con- sumption of this solution is too large to be used in resource-limited embedded systems. A full-custom ... Using composite field arithmetic in Galois field can result in the compact Rijndael S-Box. However, the power con- sumption of this solution is too large to be used in resource-limited embedded systems. A full-custom hardware implementation of composite field S-Box is proposed for these targeted domains in this paper. The minimization of power consumption is implemented by optimizing the architecture of the composite field S-Box and using the pass transmission gate (PTG) to realize the logic functions of S-Box. Power simulations were performed using the netlist extracted from the layout. HSPICE simulation results indicated that the proposed S-Box achieves low power consumption of about 130 μW at 10 MHz using 0.25 μm/2.5 V technology, while the consumptions of the positive polarity reed-muller (PPRM) based S-Box and composite field S-Box based on the conventional CMOS logic style are about 240 μW and 420 μW, respectively. The simulations also showed that the presented S-Box obtains better low-voltage operating property, which is clearly relevant for applications like sensor nodes, smart cards and radio frequency identification (RFID) tags. 展开更多
关键词 Composite field Rijndael S-Box Full-custom Pass transmission gate （PTG） Low power consumption Low-voltage
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Implementation of an 8-bit bit-slice AES S-box with rapid single flux quantum circuits 认领 引用 被引量：1
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作者 Ruo-Ting Yang Xin-Yi Xue +4 位作者 Shu-Cheng Yang Xiao-Ping Gao Jie Ren Wei Yan Zhen Wang 《Chinese Physics B》 SCIE EI CAS CSCD 2022年第9期604-610,共7页
Rapid single flux quantum(RSFQ)circuits are a kind of superconducting digital circuits,having properties of a natural gate-level pipelining synchronous sequential circuit,which demonstrates high energy efficiency and ... Rapid single flux quantum(RSFQ)circuits are a kind of superconducting digital circuits,having properties of a natural gate-level pipelining synchronous sequential circuit,which demonstrates high energy efficiency and high throughput advantage.We find that the high-throughput and high-speed performance of RSFQ circuits can take the advantage of a hardware implementation of the encryption algorithm,whereas these are rarely applied to this field.Among the available encryption algorithms,the advanced encryption standard(AES)algorithm is an advanced encryption standard algorithm.It is currently the most widely used symmetric cryptography algorithm.In this work,we aim to demonstrate the SubByte operation of an AES-128 algorithm using RSFQ circuits based on the SIMIT Nb03 process.We design an AES S-box circuit in the RSFQ logic,and compare its operational frequency,power dissipation,and throughput with those of the CMOS-based circuit post-simulated in the same structure.The complete RSFQ S-box circuit costs a total of 42237 Josephson junctions with nearly 130 Gbps throughput under the maximum simulated frequency of 16.28 GHz.Our analysis shows that the frequency and throughput of the RSFQ-based S-box are about four times higher than those of the CMOS-based S-box.Further,we design and fabricate a few typical modules of the S-box.Subsequent measurements demonstrate the correct functioning of the modules in both low and high frequencies up to 28.8 GHz. 展开更多
关键词 RSFQ AES S-box hardware implementation
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一种基于有限域求逆的S-Box实现算法 认领 引用 被引量：2
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作者 潘宏亮 高德远 +1 位作者 张盛兵 曹良帅 《微电子学与计算机》 北大核心 2006年第3期109-111,115,共3页
S-Box是AES密码算法硬件实现的关键,目前主要有两种实现方法:一种是基于查找表,一种是基于有限域求逆。文章首先经过数学变换将有限域GF(28)上的元素映射到有限域GF(24)2上,并把GF(24)2上的一个元素变换为GF(24)上的两个元素的线性运算... S-Box是AES密码算法硬件实现的关键,目前主要有两种实现方法:一种是基于查找表,一种是基于有限域求逆。文章首先经过数学变换将有限域GF(28)上的元素映射到有限域GF(24)2上,并把GF(24)2上的一个元素变换为GF(24)上的两个元素的线性运算。在此基础上,把GF(28)上的求逆问题转化为GF(24)上的求逆,从而提出了一种基于有限域求逆的低硬件开销的S-Box实现算法。该算法和查找表实现相比,面积减少了57%,适用于诸如智能卡、移动设备等对面积要求比较严格的场合。 展开更多
关键词 S-Box 逆变换 有限域 查找表
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A New S-Box Design System for Data Encryption Using Artificial Bee Colony Algorithm 认领 引用 被引量：1
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作者 Yazeed Yasin Ghadi Mohammed SAlshehri +4 位作者 Sultan Almakdi Oumaima Saidani Nazik Alturki Fawad Masood Muhammad Shahbaz Khan 《Computers, Materials & Continua》 SCIE EI 2023年第10期781-797,共17页
Securing digital image data is a key concern in today’s information-driven society.Effective encryption techniques are required to protect sensitive image data,with the Substitution-box(S-box)often playing a pivotal ... Securing digital image data is a key concern in today’s information-driven society.Effective encryption techniques are required to protect sensitive image data,with the Substitution-box(S-box)often playing a pivotal role in many symmetric encryption systems.This study introduces an innovative approach to creating S-boxes for encryption algorithms.The proposed S-boxes are tested for validity and non-linearity by incorporating them into an image encryption scheme.The nonlinearity measure of the proposed S-boxes is 112.These qualities significantly enhance its resistance to common cryptographic attacks,ensuring high image data security.Furthermore,to assess the robustness of the S-boxes,an encryption system has also been proposed and the proposed S-boxes have been integrated into the designed encryption system.To validate the effectiveness of the proposed encryption system,a comprehensive security analysis including brute force attack and histogram analysis has been performed.In addition,to determine the level of security during the transmission and storage of digital content,the encryption system’s Number of Pixel Change Rate(NPCR),and Unified Averaged Changed Intensity(UACI)are calculated.The results indicate a 99.71%NPCR and 33.51%UACI.These results demonstrate that the proposed S-boxes offer a significant level of security for digital content throughout its transmission and storage. 展开更多
关键词 S-box chaos artificial bee colony image encryption
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Design of strong S-boxes based on spatiotemporal chaotic system 认领 引用 被引量：1
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作者 徐刚 赵耿 闵乐泉 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2011年第6期107-112,共6页
A substitution box (S-box) plays an important role in cryptographic algorithms.The design of S-box using chaotic systems has attracted a great deal of attention in recent years.A new method for obtaining cryptographic... A substitution box (S-box) plays an important role in cryptographic algorithms.The design of S-box using chaotic systems has attracted a great deal of attention in recent years.A new method for obtaining cryptographically strong S-boxes based on spatiotemporal chaotic system is proposed in this paper.The discretized Baker map and affine transformation are used orderly by an algorithm to shuffle the table generated by the spatiotemporal chaotic system.The cryptographical properties of these S-boxes such as bijection,nonlinearity,strict avalanche,output bits independence and equiprobable input /output XOR distribution are analyzed.The results of numerical analysis show that the S-box designed by this method can against several attacks and all the criteria for designing good S-box can be satisfied approximately.More strong S-boxes can be obtained by this method with the change of the original conditions or control parameters of the spatiotemporal chaos system.Furthermore,our approach is suitable for practical application in designing cryptosystem. 展开更多
关键词 spatiotemporal chaotic system S-box cryptanalysis
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一种基于离散混沌系统的S-Box候选算法设计 认领 引用 被引量：1
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作者 丁文霞 王浩 《国防科技大学学报》 EI CAS CSCD 北大核心 2013年第1期83-88,共6页
S-Box是现行分组密码中唯一的非线性部件,主要提供了分组密码算法中必需的混淆作用,其密码强度决定了整个分组密码的安全强度。为进一步提高S-Box的强度,结合离散混沌系统的内在随机性、有界性、非周期性及对初始条件和参数极度敏感等特... S-Box是现行分组密码中唯一的非线性部件,主要提供了分组密码算法中必需的混淆作用,其密码强度决定了整个分组密码的安全强度。为进一步提高S-Box的强度,结合离散混沌系统的内在随机性、有界性、非周期性及对初始条件和参数极度敏感等特点,提出一种采用多混沌映射和交叉映射生成S-Box的生成算法。实验分析表明,该算法生成的样本密钥敏感性强,随机性好,既能较好地满足S-Box设计所要求的各项准则和特性,安全性高,同时又能降低计算复杂度,提高计算速度,且易于生成和扩展,因而是一种性能良好的S-Box候选算法。 展开更多
关键词 应用密码学 混沌 S-Box 严格雪崩准则 输出比特间独立性
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AES加密算法中S-BOX的算法与VLSI实现 认领 引用 被引量：1
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作者 张志峰 林正浩 《计算机工程与应用》 北大核心 2006年第19期67-68,共2页
基于GF(24)域映射的方法,采用定制方式完成了AES加密算法中关键部件S-Box的设计与实现。设计上基于中芯国际(SMIC)的0.18滋m1P6M设计工艺,经过电路设计与验证、电路仿真、版图设计与验证、版图后仿真得到最终物理版图实现。经过与基于... 基于GF(24)域映射的方法,采用定制方式完成了AES加密算法中关键部件S-Box的设计与实现。设计上基于中芯国际(SMIC)的0.18滋m1P6M设计工艺,经过电路设计与验证、电路仿真、版图设计与验证、版图后仿真得到最终物理版图实现。经过与基于自动综合和布局布线得到的设计的时延和面积的比较,证明该设计是有效的。 展开更多
关键词 AES S-Box 定制
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AES的结构及其S-box分析 认领 引用 被引量：15
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作者 王衍波 《解放军理工大学学报（自然科学版）》 2002年第3期13-17,共5页
分析了 AES的加解密原理和密钥生成器的结构 ,S- box的分布特性。指出了 AES与其密钥生成器之间存在一种结构上的同步性 ,这种同步性可能成为 AES的弱点 ;AES的 S- box具有短周期 ,不具有良好的分布特性。这给 AES的密码分析提供了可能 ... 分析了 AES的加解密原理和密钥生成器的结构 ,S- box的分布特性。指出了 AES与其密钥生成器之间存在一种结构上的同步性 ,这种同步性可能成为 AES的弱点 ;AES的 S- box具有短周期 ,不具有良好的分布特性。这给 AES的密码分析提供了可能 ,也许会成为 AES的致命弱点。 展开更多
关键词 高级数据加密标准(AES) S-box 密钥生成器
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Genetic Algorithm-Based Approaches for Optimizing S-Boxes 认领 引用
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作者 YIN Xinchun YANG Jie XIE Li 《Wuhan University Journal of Natural Sciences》 CAS 2007年第1期131-134,共4页
Multi-objective genetic algorithm is much suitable for solving multi-objective optimization problems. By use of Genetic algorithm, the optimization of S-boxes is explored in this paper. Results of the experiments show... Multi-objective genetic algorithm is much suitable for solving multi-objective optimization problems. By use of Genetic algorithm, the optimization of S-boxes is explored in this paper. Results of the experiments show that, with heuristic mutation strategy, the algorithm has high searching efficiency and fast convergence speed. Meanwhile, we also have take the avalanche probability of S-boxes into account, besides nonlinearity and difference uniformity. Under this method, an effective genetic algorithm for 6×6 S-boxes is provided and a number of S-boxes with good cryptographic capability can be obtained. 展开更多
关键词 S-boxes nonlinearity difference uniformity avalanche probability variance genetic algorithm heuristic mutation strategy
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Side-channel attack-resistant AES S-box with hidden subfield inversion and glitch-free masking 认领 引用
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作者 Xiangyu Li Pengyuan Jiao Chaoqun Yang 《Journal of Semiconductors》 EI CAS CSCD 2021年第3期60-65,共6页
A side-channel attack(SCA)-resistant AES S-box implementation is proposed,which is an improvement from the power-aware hiding(PAH)S-box but with higher security and a smaller area.We use the composite field approach a... A side-channel attack(SCA)-resistant AES S-box implementation is proposed,which is an improvement from the power-aware hiding(PAH)S-box but with higher security and a smaller area.We use the composite field approach and apply the PAH method to the inversion in the nonlinear kernel and a masking method to the other parts.In addition,a delaymatched enable control technique is used to suppress glitches in the masked parts.The evaluation results show that its area is contracted to 63.3%of the full PAH S-box,and its power-delay product is much lower than that of the masking implementation.The leakage assessment using simulation power traces concludes that it has no detectable leakage under t-test and that it at least can thwart the moment-correlation analysis using 665000 noiseless traces. 展开更多
关键词 ASIC side-channel attack AES S-box power-aware hiding glitch-free
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An asynchronous pipeline architecture for the low-power AES S-box 认领 引用
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作者 曾永红 Zou Xuecheng Liu Zhenglin 《High Technology Letters》 EI CAS 2008年第2期154-159,共6页
To obtain a low-power and compact implementation of the advanced encryption standard （AES） S- box, an asynchronous pipeline architecture over composite field arithmetic was proposed in this paper. In the presented S... To obtain a low-power and compact implementation of the advanced encryption standard （AES） S- box, an asynchronous pipeline architecture over composite field arithmetic was proposed in this paper. In the presented S-box, some improvements were made as follows. （1） Level-sensitive latches were inserted in data path to block the propagation Of the dynamic hazards, which lowered the power of data path circuit. （2） Operations of latches were controlled by latch controllers based on presented asynchronous sequence element： LC-element, which utilized static asymmetric C-element to construct a simple and power-efficient circuit structure. （3） Implementation of the data path circuit was a semi-custom standard-cell circuit on 0.25μm complementary mental oxide semiconductor （CMOS） process; and the full-custom design methodology was adopted in the handshake circuit design. Experimental results show that the resulting circuit achieves nearly 46% improvement with moderate area penalty （ 11.7% ） compared with the related composite field S-box in power performance. The presented S-box circuit can be a hardware intelli-gent property （IP） embedded in the targeted systems such as wireless sensor networks （WSN）, smart-cards and radio frequency identification （RFID）. 展开更多
关键词 advanced eneryption standard （AES） S-box asynchronous pipeline composite field
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Dynamic inhomogeneous S-Boxes in AES: a novel countermeasure against power analysis attacks 认领 引用
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作者 陈毅成 《High Technology Letters》 EI CAS 2008年第4期390-393,共4页
Substitution boxes (S-Boxes) in advanced encryption standard (AES) are vulnerable to attacks bypower analysis.The general S-Boxes masking schemes in circuit level need to adjust the design flow andlibrary databases.Th... Substitution boxes (S-Boxes) in advanced encryption standard (AES) are vulnerable to attacks bypower analysis.The general S-Boxes masking schemes in circuit level need to adjust the design flow andlibrary databases.The masking strategies in algorithm level view each S-Box as an independent moduleand mask them respectively,which are costly in size and power for non-linear characteristic of S-Boxes.The new method uses dynamic inhomogeneous S-Boxes instead of traditional homogeneous S-Boxes,andarranges the S-Boxes randomly.So the power and data path delay of substitution unit become unpre-dictable.The experimental results demonstrate that this scheme takes advantages of the circuit character-istics of various S-Box implementations to eliminate the correlation between crypto operation and power.Itneeds less extra circuits and suits resource constrained applications. 展开更多
关键词 advanced encryption standard （AES） substitution box （S-Box） correlation power analysis
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基于均匀化混沌系统的S-Box生成算法 认领 引用
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作者 黄慧芳 《数据挖掘》 2018年第3期104-111,共8页
该文给出了一个新的二次多项式混沌系统,并基于系统的概率密度函数对其进行均匀化处理。基于均匀化后的混沌系统构造了新的S-Box生成算法。对生成的S-Box进行性能检测,包括双射特性,非线性度,差分概率(DP)和线性概率(LP)分析,结果表明... 该文给出了一个新的二次多项式混沌系统,并基于系统的概率密度函数对其进行均匀化处理。基于均匀化后的混沌系统构造了新的S-Box生成算法。对生成的S-Box进行性能检测,包括双射特性,非线性度,差分概率(DP)和线性概率(LP)分析,结果表明本文均匀化后混沌系统产生的S-Box具有较好的密码特性,适合用于加密系统。 展开更多
关键词 混沌系统 均匀化 S-Box 差分概率 线性概率
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用Dillon方法构造完全bent型S-Box 认领 引用
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作者 王章雄 《成都信息工程学院学报》 2006年第3期454-456,共3页
bent函数是一类具有良好密码特性的编码组合函数,而S-box既可以对块密码的明文也可以在流密码中作为对密钥流的加密装置。将bent的优良性质带入S-box是一个很有意义的研究课题。以前用函数序列半群和置换群来构造bent型S-box。现通过陪... bent函数是一类具有良好密码特性的编码组合函数,而S-box既可以对块密码的明文也可以在流密码中作为对密钥流的加密装置。将bent的优良性质带入S-box是一个很有意义的研究课题。以前用函数序列半群和置换群来构造bent型S-box。现通过陪集方法得到bent函数组,又利用适当的指标函数来构造S-box,使得其中任意一个部分组的非零线性组合仍然是bent函数,从而保证S-box的输出端具有很高的密码强度。 展开更多
关键词 bent函数 完全bent型S-box Walsh-Hadamard矩阵 平衡函数 陪集
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