11 citations · 19 across the 13 of their papers we have counts for
13 papers
Non-RS type cyclic MDS codes over finite fields via cyclotomic field reduction
Can Xiang, Chunming Tang
Cyclic maximum distance separable (MDS for short) codes are a special subclass of linear codes and have received a lot of attention, as these codes have very important applications…
Codes and Pseudo-Geometric Designs from the Ternary -Sequences with Welch-type decimation
Can Xiang, Chunming Tang, Haode Yan +1
Pseudo-geometric designs are combinatorial designs which share the same parameters as a finite geometry design, but which are not isomorphic to that design. As far as we know, many…
Some -designs and shortened codes from binary cyclic codes with three zeros
Can Xiang, Chunming Tang
Linear codes and -designs are interactive with each other. It is well known that some -designs have been constructed by using certain linear codes in recent years. However, o…
An infinite family of antiprimitive cyclic codes supporting Steiner systems
Can Xiang, Chunming Tang, Qi Liu
Coding theory and combinatorial -designs have close connections and interesting interplay. One of the major approaches to the construction of combinatorial t-designs is the empl…
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…
Combinatorial t-designs from quadratic functions
Can Xiang, Xin Ling, Qi Wang
Combinatorial -designs have been an interesting topic in combinatorics for decades. It was recently reported that the image sets of a fixed size of certain special polynomials m…