Formally self-dual linear binary codes from circulant graphs
  In 2002, Tonchev first constructed some linear binary codes defined by the adjacency matrices of undirected graphs. So, graph is an important tool for searching optimum codes. In this paper, we introduce a new method of searching (proposed) optimum formally self-dual linear binary codes from circulant graphs. 
Ruihu Li, Xueliang Li, Yaping Mao, Meiqin Wei
math.CO cs.IT math.IT