On deep holes of generalized Reed-Solomon codes

Determining deep holes is an important topic in decoding Reed-Solomon codes. In a previous paper [8], we showed that the received word $u$ is a deep hole of the standard Reed-Solomon codes $[q-1, k]_q$ if its Lagrange interpolation polynomial is the sum of monomial of degree $q-2$ and a polynomial of degree at most $k-1$. In this paper, we extend this result by giving a new class of deep holes of the generalized Reed-Solomon codes.Comment: 5 page

Worry about Medical Care, Family Support, and Depression of the Elders in Urban China

This study examines the role of family support in reducing the elders’s depression in the face of the perceived inadequate public medical care in urban China. Using data from the Survey on Aging and Intergenerational Relations in Baoding City, this article investigates the overall depression level, somatic symptoms, and affective symptoms, respectively. The findings suggest that perceived inadequate public medical care, which results from dramatic changes in China’s socioeconomic transformation, has a stressful impact on all measures of depression. Family support, by its structure and function, shows both direct and moderating effects in counteracting such stress from the public domain. In light of China’s demographic transition, the state is called upon to adopt a comprehensive strategy in designing its socioeconomic development policy to meet the needs of an aging population