Fang‐Wei Fu

New Constructions of MDS Euclidean Self-Dual Codes From GRS Codes and Extended GRS Codes

2019 · IEEE Transactions on Information Theory

In this paper, we consider the problem for which lengths a maximum distance separable (MDS) Euclidean self-dual code over Fq exists. This problem is completely solved for the case where q is even. For q …

A Note on Self-Dual Generalized Reed-Solomon Codes

2020 · arXiv (Cornell University)

A linear code is called an MDS self-dual code if it is both an MDS code and a self-dual code with respect to the Euclidean inner product. The parameters of such codes are completely determined …

Three New Constructions of 5-valued Spectrum Functions with Totally Disjoint Spectra Duals

2022 · 2022 IEEE International Symposium on Information Theory (ISIT)

A function $f:\mathbb{F}_2^n \to {\mathbb{F}_2}$ is called a 5-valued spectrum function if the Walsh transform Wftakes the values $0, \pm {2^{\frac{{n + {s_1}}}{2}}}, \pm {2^{\frac{{n + {s_2}}}{2}}}$ for some different non-negative integers si,i = 1,2 …