New MDS Self-Dual Codes From Generalized Reed—Solomon Codes

Both Maximum Distance Separable and Euclidean self-dual codes have theoretical and practical importance and the study of MDS self-dual codes has attracted lots of attention in recent years. In particular, determining the existence of <inline-formula> <tex-math notation="LaTeX">$q$ </tex-math></inline-formula>-ary MDS self-dual codes for various lengths has… (More)