4 papers · 1 filter
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…
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…
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…