%0 Journal Article %T Construction of quantum codes based on self-dual orientable embeddings of complete multipartite graphs complete multipartite graphs %A Avaz Naghipour %A Mohammad Ali Jafarizadeh %A Sedaghat Shahmorad %J Mathematics %D 2015 %I arXiv %X This paper presents four new classes of binary quantum codes with minimum dis- tance 3 and 4, namely Class-I, Class-II, Class-III and Class-IV. The classes Class-I and Class-II are constructed based on self-dual orientable embeddings of the com- plete graphs K4r+1 and K4s and by current graphs and rotation schemes. and s are both divisible by 4. %U http://arxiv.org/abs/1507.01536v1