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Designing a Secure round function Based on Chaos

China Communications 2020年第5期17卷 29-37页

作者： Bin Lu Xin Ge Fenlin Liu Zhengzhou Information Science and Technology Institute Zhengzhou 45000China Henan Key Laboratory of Network Cryptography Technology Zhengzhou 45000China

A round function based on chaos is designed combining Feistel structure’s pseudo-randomness, chaotic system’s parameter sensitivity and image data characteristics. The round function composes of two parts--data transformation based on Feistel(abbreviated as FST) and sampling output based on chaos(abbreviated as SMP). FST bases on Feistel structure and several efficient operations including bitwise xor, permutation and circulating shift. SMP is a chaos based pseudo-random sampling algorithm. It is from theoretical analysis that the round function is a pseudo-random function. The upper bounds of the average maximum differential probability and average maximum linear probability are p^2 and q^2 respectively. Finally, the good pseudo-randomness of the round function is examined with the NIST random test. The design of this round function provides an important cryptographic component for the design of chaotic image encryption algorithm.

关键词： image encryption round function chaos pseudo-random function

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The DBlock family of block ciphers

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Science China(Information Sciences) 2015年第3期58卷 91-104页

作者： WU WenLing ZHANG Lei YU XiaoLi Trusted Computing and Information Assurance Laboratory Institute of SoftwareChinese Academy of Sciences State Key Laboratory of Computer Science Institute of Software Chinese Academy of Sciences

In this paper,we propose a new family of block ciphers named *** consists of three variants which are specified as DBlock-128,DBlock-192,and DBlock-256,***-n has the equal n-bit block length and key *** structure of DBlock successfully combines the advantages of Feistel and Type-2generalized Feistel structures ***,its design of round function employs different linear transforms operating on various word-sizes,which efficiently improve the diffusion *** key schedule of DBlock,it basically employs the same module used in encryption,except the choice of different byte permutations,which can improve its suitability for various implementation environments and also enhance its security against many cryptanalytic *** preliminary evaluation shows that DBlock can achieve enough security margin against known attacks,and it can also obtain excellent performances on various software and hardware platforms.

关键词： block cipher structure round function key scheduling security performance

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New observation on the key schedule of RECTANGLE

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Science China(Information Sciences) 2019年第3期62卷 106-118页

作者： Hailun YAN Yiyuan LUO Mo CHEN Xuejia LAI Department of Computer Science and Engineering Shanghai Jiao Tong University School of Electronics and Information Shanghai Dianji University

We evaluate the security of RECTANGLE from the perspective of actual key information(AKI).Insufficient AKI permits the attackers to deduce some subkey bits from some other subkey bits, thereby lowering the overall attack complexity or getting more attacked rounds. By considering the interaction between the key schedule’s diffusion and the round function’s diffusion, we find there exists AKI insufficiency in 4 consecutive rounds for RECTANGLE-80 and 6 consecutive rounds for RECTANGLE-128, although the master key bits achieve complete diffusion in 2 and 4 rounds, respectively. With such weakness of the key schedule, we give a generic meet-in-the-middle attack on 12-round reduced RECTANGLE-128 with only 8 known plaintexts. Moreover, we calculate AKI of variants of RECTANGLE as well as *** we find that both RECTANGLE-128 and PRESENT-128 with no key schedule involve more AKI than the original one. Based on this finding, we slightly modify the key schedule of *** with the original one, this new key schedule matches better with the round function in terms of maximizing AKI. Our work adds more insight to the design of block ciphers’ key schedule.

关键词： lightweight block cipher RECTANGLE key schedule round function diffusion

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