Carmustine, Etoposide, Cyclophosphamide, and Stem Cell Transplant in Treating Patients With HIV-Associated Lymphoma

Inclusion Criteria: * HIV seropositive at or before the time of lymphoma diagnosis * Subjects must be on a multi-drug regimen (excluding azidothymidine) to maintain HIV viral load less than 50,000 Gc/mL; if the CD4 count at enrollment is less than 100 then the viral load should be less than 10,000 by reverse transcriptase polymerase chain reaction (Rt-PCR); if the CD4 count is greater than 100/mm\^3 prior to the start of any lymphoma chemotherapy and is greater than 100/mm\^3 for at least 3 months then the viral load must be less than 150,000 gc/ml and clinically stable; if no pre-chemotherapy CD4 counts are available, then viral load alone will be used from enrollment * The known hematopoietic toxicity of AZT (zidovudine) prohibits its use pre-transplant during stem cell collection and during the immediate period of engraftment post-transplant; resumptions of AZT should not begin until there is evidence of stable engraftment; therefore, AZT should not be resumed until at least 2 months after last blood product support is used; since platelet support continues until approximately day +14 days in our experience with acquired immune deficiency syndrome (AIDS) patients transplanted date, AZT will be prohibited until at least 2 months after transplant; therefore, if the anti-HIV drug combination needs to be modified then AZT can be part of the new regimen * Karnofsky performance status \>= 70% * Biopsy proven intermediate grade or high-grade Non-Hodgkin's lymphoma, (working form…