supported by the National Natural Science Foundation of China under Grant No.12071001。
Double Toeplitz(shortly DT)codes are introduced here as a generalization of double circulant codes.The authors show that such a code is isodual,hence formally self-dual(FSD).FSD codes form a far-reaching generalizatio...
supported by the National Natural Science Foundation of China under Grant Nos. 12071001;2021 University Graduate Research Project under Grant Nos. Y020410077;the National Natural Science Foundation of China under Grant No. 12201170;the Natural Science Foundation of Anhui Province under Grant No. 2108085QA03
The authors study the binary codes spanned by the adjacency matrices of the strongly regular graphs(SRGs)on at most two hundred vertices whose existence is unknown.The authors show that in length less than one hundred...
In optical networks without optical amplifiers(ONWOAs) photons may fade or fail to be detected, but new photons cannot be generated. Hence, under normal conditions, only 1 → 0 errors can occur. However, in some situa...
supported by the National Natural Science Foundation of China under Grant No.11401408;Project of Science and Technology Department of Sichuan Province under Grant No.2016JY0134;the National Key R and Program of China under Grant No.2016QY04W080
Recently, linear codes over finite fields with a few weights have been extensively studied due to their applications in secret sharing schemes, authentication codes, constant composition codes. In this paper, for an o...
supported by the National Natural Science Foundation of China under Grant Nos.61370089,61572168,11501156;the Anhui Provincial Natural Science Foundation under Grant No.1508085SQA198
This paper deduces the structure of LCD negacyclic codes over the finite field Fq, where q is an odd prime power. Based on the study of q-cyclotomic cosets modulo 2n, the authors obtain the parameters of LCD negacycli...
This paper constructs a cyclic Z_4-code with a parity-check matrix similar to that of Goethals code but in length 2~m+ 1, for all m ≥ 4. This code is a subcode of the lifted Zetterberg code for m even. Its minimum Le...
supported by the National Natural Science Foundation of China under Grant Nos.61202068 and 11126174;Talents youth Fund of Anhui Province Universities under Grant No.2012SQRL020ZD;supported by Key Discipline Construction of Hefei University 2014XK08
This paper investigates the structures and properties of one-Lee weight codes and two-Lee weight projective codes over Z4.The authors first give the Pless identities on the Lee weight of linear codes over Z_4.Then the...
In this paper, the quaternary Delsarte-Goethals code D(m,δ) and its dual code G(m,δ) are discussed. The type and the trace representation are given for D(m,δ), while the type and the minimum Lee weight are determin...
Eight families of Costas arrays with ideal cross-coincidence are algebraically constructed under the assumptin that the vertical shifts are appropriately bounded.These Costas arrays are useful for designing multiple C...