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We prove that nonbinary quantum stabilizer codes with parameters [[n, k, d]]p = [[6, 2, 3]]p and [[7, 3, 3]]p exist for all odd primes p by using graph machinery, given by Schlingemann and Werner(see Phys. Rev. A, vol.65, no.012308, 2001), with a little number theory and combinatorics.
Date of Publication: Aug 2002