(CNN) - Supporters of Proposition 8, California's voter-approved ban on same-sex marriage, are asking that a judge's injunction barring the measure's enforcement be thrown out because the judge failed to disclose his involvement in a long-term same-sex relationship.

In August, then-U.S. Chief Judge Vaughn Walker ruled the measure violates the Constitution's equal protection clause. "Proposition 8 does nothing more than enshrine in the California Constitution the notion that opposite-sex couples are superior to same-sex couples," Walker wrote in his 136-page opinion.