教員情報 | 大東文化大学

ナガタ　キヨシ
永田　清経営学部経営学科教授

■ 標題
On Self-Dual Code over $Z_{16}$

■ 概要
  In this paper, we consider codes over the finite ring Z_{16} of
integers modulo 16. We focused especially on self-dual codes, that is
a Z_{16}-submodule whose dual set with respect to the Euclidean inner
product coincides with itself. We start with any doubly even self-dual
binary code and give an necessary and sufficient condition for the selfduality
of induced codes. Then we can give an inductive algorithm for
construction of all self-dual codes. We also give the mass formula, the
formula for the number of all self-dual codes.
  Kiyoshi Nagata, Fidel Nemenzo, and Hideo Wada
  共著   Proceeding of the 18th Symposium on Applied algebra, Algebraic Algorithms, and Error Correcting Coding, AAECC-18, ISSN 0302-9743, LNCS 5527   Springer   pp.107-116   2009/06