A method for constructing self-dual codes over Z(2)m

作者：Han Sunghyu^*

来源：Designs, Codes and Cryptography, 2015, 75(2): 253-262.

DOI：10.1007/s10623-013-9907-3

• Building-up construction
• Self-dual code
• Z(4) code
• Z(2)m code

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 . 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(2)m (m >= 1),, which have not been considered thus far.

• 出版日期2015-5