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In this paper we present two new classes of binary quantum codes with minimumdistance of at least three, by self-complementary self-dual orientableembeddings of voltage graphs and Paley graphs in the Galois field GF(pr), wherep is a prime number and r is a positive integer. The parameters of two newclasses of quantum codes are [[(2k+2)(8k+ 7); 2(8k^2+7k); d]] and[[(2k+2)(8k+9); 2(8k^2+9k+1); d]] respectively, where d>=3. For these quantumcodes, the code rate approaches 1 as k goes to infinity.

Topological quantum codes from self-complementary self-dual graphs