The purpose of this study is to evaluate the efficacy of icotrokinra (JNJ-77242113) compared to placebo in biologic-experienced and biologic-naive participants with active psoriatic arthritis (PsA) by assessing the reduction in signs and symptoms of PsA.
Have active psoriatic arthritis (PsA) despite current or previous use of greater than or equal to (>=) 1 of the following: a. Non-biologic disease-modifying antirheumatic drug (DMARD) therapy; b. Apremilast therapy; c. Biologic-agent (limited to only 1)
Have a diagnosis of PsA for at least 3 months before the first administration of study intervention and meet classification criteria for Psoriatic Arthritis (CASPAR) at screening
Have active PsA as defined by: (a) At least 3 swollen joints and at least 3 tender joints at screening and at baseline (b) C-reactive protein (CRP) >= 0.1 milligrams per deciliter (mg/dL) at screening from the central laboratory
Have at least 1 of the PsA subsets: distal interphalangeal joint involvement, polyarticular arthritis with absence of rheumatoid nodules, arthritis mutilans, asymmetric peripheral arthritis, or spondylitis with peripheral arthritis
Has a history or current signs or symptoms of severe, progressive, or uncontrolled renal, hepatic, cardiac, vascular, pulmonary, gastrointestinal, endocrine, neurologic, hematologic, rheumatologic (with the exception of PsA), psychiatric, genitourinary, or metabolic disturbances
Currently has a malignancy or has a history of malignancy within 5 years prior to screening
Has known allergies, hypersensitivity, or intolerance to icotrokinra or its excipients
Has other inflammatory diseases that might confound the evaluations of benefit of icotrokinra therapy, including but not limited to rheumatoid arthritis (RA), systemic lupus erythematosus, or Lyme disease