CODES

作品数:387被引量:367H指数:9
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Secret Sharing Schemes from Linear Codes over F_(2)+vF_(2)+v^(2)F_(2)
《Chinese Journal of Electronics》2021年第5期895-901,共7页WANG Yaru LI Fulin ZHU Shixin 
the National Natural Science Foundation of China(No.61772168,No.60973125,No.61572168);the Natural Science Foundation of Anhui Province(No.1508085MA13)。
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...
关键词:Secret sharing Finite ring MacDonald codes Torsion codes Access structure 
One and Two-Weight Z_(2)R_(2)Additive Codes被引量:1
《Chinese Journal of Electronics》2021年第1期72-76,共5页LI Tiantian SHI Minjia LIN Bo WU Wenting 
supported by Provincial Natural Science Research Project of Anhui Colleges(No.KJ2018A0030,No.KJ2019A0006);National Natural Science Foundation of China(No.12071001,No.61672036);Excellent Youth Foundation of Natural Science Foundation of Anhui Province(No.1808085J20);Academic Fund for Outstanding Talents in Universities(No.gxbjZD03)。
This paper is devoted to the construction of one and two-weight Z_(2)R_(2)additive codes,where R2=F2[v]/(v^(4)).It is a generalization towards another direction of Z2Z4 codes(S.T.Dougherty,H.W.Liu and L.Yu,"One weight...
关键词:Gray map One-weight codes Two-weight codes Macwilliams identity 
Asymptotically Good Additive Cyclic Codes被引量:1
《Chinese Journal of Electronics》2020年第5期859-864,共6页YAO Ting ZHU Shixin KAI Xiaoshan 
supported by the National Natural Science Foundation of China(No.61772168,No.61972126)。
ZpZpa-additive cyclic codes have been proved to be asymptotically good by Yao and Zhu.For binary Hamming scheme,we introduce a type of Z2(Z2+UZ2)-additive cyclic codes genera ted by pairs of polynomials.Let R be the c...
关键词:Additive cyclic codes Random codes Relative minimum distance Asymptotically good codes. 
Two-Weight Codes and Second Order Recurrences
《Chinese Journal of Electronics》2019年第6期1127-1130,共4页SHI Minjia ZHANG Zhongyi SOLE Patrick 
supported by National Natural Science Foundation of China(No.61672036);Excellent Youth Foundation of Natural Science Foundation of Anhui Province(No.1808085J20);the Academic Fund for outstanding Talents in Oniversities(No.gxbj.ZD03)
Cyclic codes of dimension 2 over a finite field are shown to have at most two nonzero weights.We compute their weight distribution,and give a condition on the roots of their check polynomials for them to be maximum di...
关键词:TWO-WEIGHT CODES IRREDUCIBLE Cyclic CODES MDS CODES Linear RECURRENCES 
On Self-dual and LCD Double Circulant Codes over a Non-chain Ring
《Chinese Journal of Electronics》2019年第5期1018-1024,共7页YAO Ting ZHU Shixin KAI Xiaoshan 
supported by the National Natural Science Foundation of China(No.61772168,No.61572168);the Natural Science Foundation of Anhui Province(No.1808085MA15);Key University Science Research Project of Anhui Province(No.KJ2018A0497)
In this paper, we study double circulant codes of length 2n over the non-chain ring R =Fq + vFq + v2Fq, where q is an odd prime power and v3 = v. Exact enumerations of self-dual and LCD double circulant codes of lengt...
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被引量:2
《Chinese Journal of Electronics》2019年第4期706-711,共6页WANG Yaru LI Fulin ZHU Shixin 
supported by the National Natural Science Foundation of China(No.61772168,No.60973125,No.61572168);the Natural Science Foundation of Anhui Province(No.1508085MA13)
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 ...
关键词:Finite non-chain ring MACDONALD CODES TORSION CODES SECRET sharing Access structure 
A Class of Linear Codes with Three and Five Weights被引量:1
《Chinese Journal of Electronics》2019年第3期457-461,共5页DU Xiaoni LI Xiaodan WAN Yunqi 
supported by the National Natural Science Foundation of China(No.61462077,No.61772022)
Linear codes have been an interesting topic in both theory and practice for many years. Based on the theory of defining set, a class of three-weight and five-weight linear codes over prime field Fp are constructed, wh...
关键词:Linear CODES WEIGHT DISTRIBUTIONS SECRET SHARING schemes Optimal CODES 
On the Depth Distribution of Constacyclic Codes over Z_4 of Length 2~e
《Chinese Journal of Electronics》2019年第3期462-469,共8页ZHU Shixin HUANG Shan LI Jin 
supported by the National Natural Science Foundation of China(No.61772168,No.61572168,No.11501156);the Natural Science Foundation of Anhui Province(No.1508085SQA198,No.1708085QAO1)
In this paper, we consider the depth distribution of constacyclic codes over Z_4 with length even prime power. The depth distribution of negacyclic codes over Z_4 of length 2~e is completely determined.Furthermore, we...
关键词:DEPTH SPECTRUM DEPTH DISTRIBUTION Constacyclic CODES 
Optimal Ternary Cubic Two-Weight Codes被引量:1
《Chinese Journal of Electronics》2018年第4期734-738,共5页SHI Minjia HUANG Daitao SOLE Patrick 
supported by National Natural Science Foundation of China(No.61672036);Excellent Youth Foundation of Natural Science Foundation of Anhui Province(No.1808085J20);Technology Foundation for Selected Overseas Chinese Scholar,Ministry of Personnel of China(No.05015133);Key projects of support program for outstanding young talents in Colleges and Universities(No.gxyqZD2016008)
We study trace codes with defining set L,a subgroup of the multiplicative group of an extension of degree m of a certain ring of order 27. These codes are abelian, and their ternary images are quasi-cyclic of coindex ...
关键词:Three-weight codes Two-weight codes Gauss sums Trace codes 
Joint Design of QC-LDPC Codes for Coded Relay Cooperation被引量:4
《Chinese Journal of Electronics》2016年第1期179-184,共6页TANG Lei YANG Fengfan ZHANG Shunwai SAQIB Ejaz LUO Lin 
supported by the School Scientific Research Fund of Nanjing Institute of Technology(No.YKJ201417)
This paper proposes an effective method to jointly design girth-4 cycle-free Quasi-cyclic(QC) Lowdensity parity-check(LDPC) codes for multi-relay cooperation in a Rayleigh fading channel, where the joint iterative dec...
关键词:Coded cooperation Low-density parity-check (LDPC) codes Min-sum algorithm (MSA) Joint it-erative decoding Treble-layer Tanner graph. 
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