5 papers
New Criteria and Constructions for Self-Orthogonal Codes
Peng Wang, Ziling Heng
Self-orthogonal codes have attracted considerable attention owing to their applications in quantum error-correcting codes, linear complementary dual codes, and a variety of other f…
Hybrid Character Sums From Vectorial Dual-Bent Functions and Asymptotically Optimal Complex Codebooks With Small Alphabet Sizes
Ziling Heng, Peng Wang, Chengju Li
Hybrid character sums are an important class of exponential sums which have nice applications in coding theory and sequence design. Let $\gf_{p^m}$ be the finite field with e…
New constructions of asymptotically optimal periodic and aperiodic quasi-complementary sequence sets
Peng Wang, Ziling Heng, Chengju Li
Quasi-complementary sequence sets (QCSSs) play an important role in multi-carrier code division multiple access (MC-CDMA) systems as they can support more users than perfect comple…
Large Sets of Quasi-Complementary Sequences From Polynomials over Finite Fields and Gaussian Sums
Ziling Heng, Peng Wang, Chunlei Xie +1
Perfect complementary sequence sets (PCSSs) are widely used in multi-carrier code-division multiple-access (MC-CDMA) communication systems. However, the set size of a PCSS is upper…
Self-orthogonal codes from plateaued functions
Peng Wang, Ziling Heng
Self-orthogonal codes are of interest as they have important applications in quantum codes, lattices and many areas. In this paper, based on the weakly regular plateaued functions…