Linperlisib and Chidamide for Peripheral T-cell Lymphoma

Inclusion Criteria: * Age 18-75 years at the time of inclusion (Age 18-80 years for phase Ib and IIa study) * Patients with a newly diagnosed and histologically confirmed PTCL (phase Ib study includes both newly diagnosed and relapsed/refractory PTCL). Anaplastic large cell lymphoma, NK/T-cell lymphoma, and primary cutaneous T-cell lymphoma are not included. * ECOG PS 0-2 at protocol entry * Estimated life expectancy of 6 months or longer * Measurable disease * Hemoglobin ≥ 8 g/dL (≥5 mmol/l); Platelets ≥ 75 x 10E9/L; Absolute neutrophil count ≥ 1.0 x 10E9/L; Platelets ≥ 50 x 10E9/L permitted if documented bone marrow involvement; Serum bilirubin ≤ 1.5 x upper limit of normal (ULN); Serum glutamic-oxaloacetic transaminase (AST) and/or serum glutamic-pyruvic transaminase (ALT) ≤ 2.5 x ULN, or ≤ 5 x ULN if elevation is due to hepatic involvement by lymphoma; Serum creatinine ≤ 1.5 x ULNb; left ventricular ejection fraction (LVEF) ≥ 50% * Women of childbearing potential must use safe anticonception (e.g. contraceptive pills, intrauterine devices etc.) during the study and 12 months after the last administration of study drugs; Male patients must use contraception for the duration of the study and 6 months after the last administration of study drugs if his partner is of childbearing potential * Written informed consent Exclusion Criteria: * Patients previously treated with PI3K inhibitor * Patients previously treated with chidamide (phase Ib study is not limited by this item) * Suspected or documented central nervous system involvement by lymphoma * Patients with positive HIV and/or active hepatitis B and/or hepatitis C infection * Patients with active, uncontrolled infections * Unwillingness or inability to comply with the protocol * Deemed 'unfit' by the treating physician * Pregnant and/or breastfeeding women * Concurrent severe and/or uncontrolled medical disease which is not lymphoma-related * Patients with contraindications to chemotherapy * Known hypersensitivity to one or more of the study drugs