Your question is not very clear. What type of mistake is it? What is the name mentioned in your SSC certificate? I think you have to go for the correction of it.
For this, you have to have an affidavit made which is notarized and certified. For this purpose, you have to approach a good lawyer and take as per his advise you have to make the affidavit and make a publication in two newspapers and keep the advertisements cuttings also with you. Then you will not have any problem.