3 papers
cs.IT2025
Construction A Lattice Design Based on the Truncated Union Bound
Jiajie Xue, Brian M. Kurkoski, Emanuele Viterbo
This paper considers dimensional construction A lattice design, using binary codes with known minimum Hamming distance and codeword multiplicity, the number of minimum wei…
cs.IT2025
Lower Bound on the Error Rate of Genie-Aided Lattice Decoding
Jiajie Xue, Brian M. Kurkoski
A genie-aided decoder for finite dimensional lattice codes is considered. The decoder may exhaustively search through all possible scaling factors . We show that…
cs.IT2025
Finite Dimensional Lattice Codes with Self Error-Detection and Retry Decoding
Jiajie Xue, Brian M. Kurkoski
Lattice codes with optimal decoding coefficient are capacity-achieving when dimension . In communications systems, finite dimensional lattice codes are consid…