64 citations · 258 across the 71 of their papers we have counts for
9 papers · 2 filters
The Projective General Linear Group and Linear Codes of Length
Cunsheng Ding, Chunming Tang, Vladimir D. Tonchev
The projective general linear group acts as a -transitive permutation group on the set of points of the projective line. The first objective o…
The construction and weight distributions of all projective binary linear codes
Cunsheng Ding
Boolean functions can be used to construct binary linear codes in many ways, and vice versa. The objective of this short article is to point out a connection between the weight dis…
Shortened linear codes from APN and PN functions
Can Xiang, Chunming Tang, Cunsheng Ding
Linear codes generated by component functions of perfect nonlinear (PN) and almost perfect nonlinear (APN) functions and the first-order Reed-Muller codes have been an object of in…
The linear codes of t-designs held in the Reed-Muller and Simplex codes
Cunsheng Ding, Chunming Tang
A fascinating topic of combinatorics is -designs, which have a very long history. The incidence matrix of a -design generates a linear code over GF for any prime power $…
The Subfield Codes of MDS Codes
Ziling Heng, Cunsheng Ding
Recently, subfield codes of geometric codes over large finite fields $\gf(q)$ with dimension and were studied and distance-optimal subfield codes over $\gf(p)$ were obtaine…
Shortened Linear Codes over Finite Fields
Yang Liu, Cunsheng Ding, Chunming Tang
The puncturing and shortening technique are two important approaches to constructing new linear codes from old ones. In the past 70 years, a lot of progress on the puncturing techn…