Binary Isodual Codes Having an Automorphism of Odd Prime Order

The aim of this work is to describe the structure and properties of the binary isodual codes having automorphisms of odd prime order and to present a method for their construction. As an example, we construct binary isodual codes of length 30 and minimum weight ≥7\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge \,7$$\end{document} having an automorphism of order 5.