This study will examine the effectiveness and side effects of an experimental vaccine to prevent recurrence of nasopharyngeal cancer. The likelihood of this cancer returning is higher in patients whose original lesion was large, whose cancer had spread to the adjacent lymph nodes, or who had surgery for metastatic disease (cancer that spread beyond the primary site). Nasopharyngeal tumors are caused by a common virus called Epstein-Barr virus, which produces a protein called LMP-2. Vaccination with specific pieces, or peptides, of the LMP-2 protein may boost the immune system's fight against the cancer. The vaccine injections are mixed with an oil-based substance called Montanide ISA-51, which is intended to increase the immune response to the peptide.