A method for constructing self-dual codes over Z2m.

Authors :: Han, Sunghyu
Source :: Designs, Codes & Cryptography; May2015, Vol. 75 Issue 2, p253-262, 10p
Publication Year :: 2015
Abstract: There are several methods for constructing self-dual codes over various rings. Among them, the building-up method is a powerful method, and it can be applied to self-dual codes over finite fields and several rings. Recently, Alfaro and Dhul-Qarnayn (Des Codes Cryptogr, doi:10.1007/s10623-013-9873-9) proposed a method for constructing self-dual codes over F<subscript>q</subscript>[u]/(u<superscript>t</superscript>. Their approach is a building-up approach that uses the matrix form. In this paper, we use the matrix form to develop a building-up approach for constructing self-dual codes over Z<subscript>2</subscript>m} (m ≥ 1), which have not been considered thus far. [ABSTRACT FROM AUTHOR]