Title: New constructions of MDS codes with complementary duals,
Abstract: Linear complementary-dual (LCD for short) codes are linear codes that
intersect with their duals trivially. LCD codes have been used in certain
communication systems. It is recently found that LCD codes can be applied in
cryptography. This application of LCD codes renewed the interest in the
construction of LCD codes having a large minimum distance. MDS codes are
optimal in the sense that the minimum distance cannot be improved for given
length and code size. Constructing LCD MDS codes is thus of significance in
theory and practice. Recently, Jin (\cite{Jin}, IEEE Trans. Inf. Theory, 2016)
constructed several classes of LCD MDS codes through generalized Reed-Solomon
codes. In this paper, a different approach is proposed to obtain new LCD MDS
codes from generalized Reed-Solomon codes. Consequently, new code constructions
are provided and certain previously known results in \cite{Jin} are extended.