7 papers
Hyper-derivative Algebraic Geometry Codes via Local Expansions
Xiaofeng Liu, Hengfeng Liu, Jun Zhang +2
In this paper, we develop a systematic construction framework of hyper-derivative algebraic geometry codes via local expansions, extending hyper-derivative Reed-Solomon codes from…
Construction of Multi-sequences With High Nonlinear Complexity via Narrow Ray Class Fields
Xiaofeng Liu, Jun Zhang, Fang-Wei Fu
Nonlinear complexity is a fundamental criterion in the evaluation of pseudorandom sequences. The construction of multi-sequences with high nonlinear complexity is both theoreticall…
Secure Network Function Computation for General Target and Security Functions
Qin Zhou, Fang-Wei Fu
Secure network function computation is a critical research direction in network coding, which aims to ensure that the target function is correctly computed at the sink node while p…
A class of pseudorandom sequences From Function Fields
Xiaofeng Liu, Jun Zhang, Fang-Wei Fu
Motivated by the constructions of pseudorandom sequences over the cyclic elliptic function fields by Hu \textit{et al.} in \text{[IEEE Trans. Inf. Theory, 53(7), 2007]} and the con…
A New Family of Binary Sequences via Elliptic Function Fields over Finite Fields of Odd Characteristics
Xiaofeng Liu, Jun Zhang, Fang-Wei Fu
Motivated by the constructions of binary sequences by utilizing the cyclic elliptic function fields over the finite field by Jin \textit{et al.} in [IEEE Trans…
Three Classes of Twisted Gabidulin Codes with Different Twists
Ran Li, Fang-Wei Fu, Weijun Fang
Twisted Gabidulin codes are an extension of Gabidulin codes and have recently attracted great attention. In this paper, we study three classes of twisted Gabidulin codes with diffe…
On a class of twisted elliptic curve codes
Xiaofeng Liu, Jun Zhang, Fang-Wei Fu
Motivated by the studies of twisted generalized Reed-Solomon (TGRS) codes, we initiate the study of twisted elliptic curve codes (TECCs) in this paper. In particular, we study a cl…