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...
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...
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...
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...
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...
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 ...
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...
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...
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 ...
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...