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基于2个不相交子集的MDS自对偶码构造

合肥工业大学学报（自然科学版） 2024年第1期47卷 132-136页

作者：曹宇婷朱士信合肥工业大学数学学院安徽合肥230601

最大距离可分(maximum distance separable, MDS)自对偶码是一类最优线性码,在通信、数据存储和区组设计等领域有着广泛的应用,构造MDS自对偶码是当前编码理论研究的一个热点问题。文章基于有限域及其乘法群的2个不相交子集,利用广义Ree... 详细信息

最大距离可分(maximum distance separable, MDS)自对偶码是一类最优线性码,在通信、数据存储和区组设计等领域有着广泛的应用,构造MDS自对偶码是当前编码理论研究的一个热点问题。文章基于有限域及其乘法群的2个不相交子集,利用广义Reed-Solomon(RS)码构造了几类新的MDS自对偶码;得到的MDS自对偶码具有灵活的长度。

关键词：最大距离可分(MDS)自对偶码广义Reed-Solomon(RS)码有限域

A Verifiable Multi-Secret Sharing Scheme Based on Short Integer Solution

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Chinese Journal of Electronics 2023年第3期32卷 556-563页

作者： LI Fulin YAN Jiayun zhu shixin HU Hang School of Mathematics Hefei University of Technology Intelligent Interconnected Systems Laboratory of Anhui Province

With the possible birth of the quantum computer, traditional secret sharing schemes have been unable to meet security requirements. We proposed a new verifiable multi-secret sharing scheme based on the short integer solution problem. By utilizing a symmetric binary polynomial,k secrets and secret shares can be generated,and then we convert the secret shares into binary string on Zq, which can be identified by one-way anti-collision hash function on the lattice, so that multiple secrets can be reconstructed safely. The advantages mainly focus on verifiability without interaction in the distribution phase and less memory requirement. In a secret sharing scheme,verifiability prevents the dealer to share the wrong shares and forces the participants to submit their shares correctly. Meanwhile, the interaction can be reduced, which means the security is improved. In a multi-secret sharing scheme, releasing the public values is inevitable, this paper has less public values and less size of shares per secret size to reduce the pressure of memory consumption in the proper parameters. In the end, it can also effectively resist the quantum attack.

关键词： Hash functions Quantum computing Memory management Lattices Resists Cryptography Computer security

Stratum Griseum Periventriculare-mediated Fear Emotion Regulates Motor Behavior in Pigeons

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Journal of Bionic Engineering 2023年第5期20卷 2228-2239页

作者： Wenbo Xu Long Yang Zishi Wang Lifang Yang Han Cheng shixin zhu Zhigang Shang Zhenlong Wang School of Life Sciences Zhengzhou UniversityZhengzhou450001China School of Electrical and Information Engineering Zhengzhou UniversityZhengzhou450001China

A pigeon robot is an ideal experimental animal for research in flying animal *** majority of current research publications have entailed electrical stimulation of the motor nuclei to regulate movement forcibly,and although a“virtual fear”behavior model has been proposed,the structure,location,and function of the nuclei that generate fear emotions remain *** studies have shown that the Stratum Griseum Periventriculare(SGP)of pigeons is homologous to the mammalian periaqueductal gray(PAG),which plays an essential role in mammalian *** reveal the role of fear mediated by the SGP in behavioral regulation,we evaluated the structure and location of the SGP by histologic identification combined with magnetic resonance imaging,and analyzed the behavior of the SGP by electrical ***,the function of the SGP was verified with escape testing and homing experiments in an open *** results showed that the SGP is located in the pigeon midbrain and divided into two subregions,the dorsal part of the stratum griseum periventriculare(SGPd)and the ventral part of the stratum griseum periventriculare(SGPv)(the ranges were AP1.5–4.75 mm,ML1.75–6.75 mm,and DV2.2–7.1 mm),and that wired and wireless electrical stimulation freezing was the dominant *** the escape test,SGP electrical stimulation caused the pigeons to flee to a safe place,while in the open-field homing test,electrical stimulation of the SGP induced evasive behavior in pigeons away from their original homing *** results confirm that the SGP plays a crucial role in fear,and that electrical stimulation of this nucleus induces corresponding fear behaviors.

关键词： Pigeon cyborg Bionic robot Fear Freezing Electrical stimulation

A Class of Constacyclic Codes over Ring R+vR

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Journal of Systems Science & Complexity 2016年第3期29卷 805-813页

作者： HUANG Lei zhu shixin School of Mathematics Hefei University of Technology

By constructing a Gray map,a class of constacyclic codes over ring=■+vR is *** cyclic codes and negacyclic codes of length p^s over ring R,the structure of(1-2v)-constacyclic codes and dual codes of length p^s over ring are given,the Gray images of(1-2v)-constacyclic codes in a particular case are also *** is shown that linear codes of length p^s over ring ■ are(1-2v)-constacyclic codes if and only if their Gray images are distance-invariant cyclic codes of length2p^s over ring R.

关键词：循环码 VR 灰度图像长度线性码 PS环

THE HAMMING DISTANCES OF NEGACYCLIC CODES OF LENGTH 2~s OVER GR (2~a,m)

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Journal of Systems Science & Complexity 2008年第1期21卷 60-66页

作者： shixin zhu Xiaoshan KAI Department of Applied Mathematics Hefei University of Technology Hefei 230009 China.

The Hamming distances of all negacyclic codes of length 2 s over the Galois ring GR(2 a ,m) are given. In particular, the Lee distances of all negacycli... 详细信息

The Hamming distances of all negacyclic codes of length 2 s over the Galois ring GR(2 a ,m) are given. In particular, the Lee distances of all negacyclic codes over Z 4 of length 2 s are obtained. The Gray images of such negacyclic codes over Z 4 are also determined under the Gray map.

关键词：加重平衡节点地图测量技术

A MACWILLIAMS TYPE IDENTITY ON LEE WEIGHT FOR LINEAR CODES OVER F_2+uF_2

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Journal of Systems Science & Complexity 2012年第1期25卷 186-194页

作者： shixin zhu Yongsheng TANG School of Mathematics Hefei University of Technology Department of Mathematics HeFei Normal University

在这份报纸，为 m 厚度李重量的 MacWilliams 类型身份在 \mathbbF2 + u\mathbbF2\mathbb 上为线性代码枚举符 { F }_2 + u\mathbb { F }_2 被决定。作为这身份的一个应用程序，作者在 \mathbbF2m + u\mathbbF2m \mathbb 上为线性代码... 详细信息

在这份报纸，为 m 厚度李重量的 MacWilliams 类型身份在 \mathbbF2 + u\mathbbF2\mathbb 上为线性代码枚举符 { F }_2 + u\mathbb { F }_2 被决定。作为这身份的一个应用程序，作者在 \mathbbF2m + u\mathbbF2m \mathbb 上为线性代码在李重量上获得 MacWilliams 类型身份 { F }_{ 2 ^ m }+ u\mathbb { F }_{ 2 ^ m } 。而且，作者由利用 Krawtchouk 多项式为 m 厚度李重量分布证明两重性。

关键词：线性码类型重量标识 F2 k多项式两重性重分布

On Self-dual and LCD Double Circulant Codes over a Non-chain Ring

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Chinese Journal of Electronics 2019年第5期28卷 1018-1024页

作者： YAO Ting zhu shixin KAI Xiaoshan School of Mathematics Hefei University of Technology

In this paper, we study double circulant codes of length 2n over the non-chain ring R = Fq+ v Fq+v2Fq, where q is an odd prime power and v3= v. Exact enumerations of self-dual and LCD double circulant codes of length 2n over R are derived. When n is an odd prime,using random coding, we obtain families of asymptotically good self-dual and LCD codes of length 6n over Fq.

关键词： Double circulant codes Non-chain ring Self-dual codes Linear complementary dual(LCD) codes Artin conjecture

Two-Weight Linear Codes and Their Applications in Secret Sharing

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Chinese Journal of Electronics 2019年第4期28卷 706-711页

作者： WANG Yaru LI Fulin zhu shixin School of Mathematics Hefei University of Technology

Linear codes with few weighs have many applications in secret sharing. Determining the access structure of the secret sharing scheme based on a linear code is a very difficult problem. We provides a method to construct a class of two-weight torsion codes over finite non-chain ring. We determine the minimal codewords of these torsion codes over the finite non-chain ring. Based on the two-weight codes, we find the access structures of secret sharing schemes.

关键词： Finite non-chain ring MacDonald codes Torsion codes Secret sharing Access structure

Secret Sharing Schemes from Linear Codes over F2+ vF2+ v~2F2

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Chinese Journal of Electronics 2021年第5期30卷 895-901页

作者： WANG Yaru LI Fulin zhu shixin School of Mathematics Hefei University of Technology

Secret sharing is an important concept in cryptography, however it is a difficult problem to determine the access structure of the secret sharing scheme based on a linear code. In this work, we construct twoweight linear codes over finite field by using linear codes over finite ring. We first study MacDonald codes over the finite ring F+v F+v~2Fwith v~3= v. Then we give torsion codes of MacDonald codes of type α and β, which are twoweight linear codes. Finally we give the access structures of secret sharing schemes based on the dual codes of the two-weight codes.

关键词： Algebra Codes Cryptography Data security Secret sharing Finite ring MacDonald codes Torsion codes Access structure