• Interpolation-based Decoding of Nonlinear Maximum Rank Distance Codes 

      Li, Chunlei (Peer reviewed; Journal article, 2019)
      In this paper, we formulate a generic construction of MRD codes that covers almost all the newly found MRD codes. Among those MRD codes, we particularly investigate the encoding and decoding of a family of nonlinear MRD ...
    • Optimal ternary cyclic codes with minimum distance four and five 

      Li, Nian; Li, Chunlei; Helleseth, Tor; Ding, Cunsheng; Tang, Xiaohu (Journal article, 2014-11)
      Cyclic codes are an important subclass of linear codes and have wide applications in data storage systems, communication systems and consumer electronics. In this paper, two families of optimal ternary cyclic codes are ...
    • Sequences and Linear Codes from Highly Nonlinear Functions 

      Li, Chunlei (Doctoral thesis, 2014-06-16)
      Due to optimal nonlinearity and differential uniformity, perfect nonlinear (PN) and almost perfect nonlinear (APN) functions are of great importance in cryptography. It is interesting that they also define optimal objects ...
    • The Weight Distributions of Several Classes of Cyclic Codes From APN Monomials 

      Li, Chunlei; Li, Nian; Helleseth, Tor; Ding, Cunsheng (Peer reviewed; Journal article, 2014-08)
      Let m ≥ 3 be an odd integer and p be an odd prime. In this paper, a number of classes of three-weight cyclic codes C(1,e) over Fp, which have parity-check polynomial m1(x)me (x), are presented by examining general conditions ...