393 citations · 397 across the 6 of their papers we have counts for
5 papers · 1 filter
A note on the five valued conjectures of Johansen and Helleseth and zeta functions
Xiaogang Liu, Michael Harrison, Yuan Luo
For the complete five-valued cross-correlation distribution between two -sequences and of period that differ by the decimation $d={{2^{2k}+1}\over {2^…
On the bounds and achievability about the ODPC of over prime field for increasing message length
Xiaogang Liu, Yuan Luo
The optimum distance profiles of linear block codes were studied for increasing or decreasing message length while keeping the minimum distances as large as possible, especially fo…
On the Optimum Cyclic Subcode Chains of for Increasing Message Length
Xiaogang Liu, Yuan Luo, Kenneth W. Shum
The distance profiles of linear block codes can be employed to design variational coding scheme for encoding message with variational length and getting lower decoding error probab…
The Weight Distributions of a Class of Cyclic Codes with Three Nonzeros over F3
Xiaogang Liu, Yuan Luo
Cyclic codes have efficient encoding and decoding algorithms. The decoding error probability and the undetected error probability are usually bounded by or given from the weight di…
The weight distributions of some cyclic codes with three or four nonzeros over F3
Xiaogang Liu, Yuan Luo
Because of efficient encoding and decoding algorithms, cyclic codes are an important family of linear block codes, and have applications in communica- tion and storage systems. How…