{"document_id":"BLC-STUDY-0118","slug":"bootle-ipa","title":"Efficient Zero-Knowledge Arguments for Arithmetic Circuits in the Discrete Log Setting","authors":"Jonathan Bootle, Andrea Cerulli, Pyrros Chaidos, Jens Groth and Christophe Petit","year":2016,"date_label":"2016","publisher":"Jonathan Bootle, Andrea Cerulli, Pyrros Chaidos, Jens Groth and Christophe Petit","paper_type":"Design paper","category":"Privacy","topics":["Privacy"],"source_url":"https://eprint.iacr.org/2016/263","source_label":"ePrint 2016/263","legacy_pdf_path":null,"sha256":null,"sha256_note":"No hash is published. This build does not store those PDF bytes, so a checksum would be invented. Where a legacy path exists, it points at the Internet Archive copy of the old library.","version":"Source cited by the 2016 study. The study is the reading. This page does not add a second essay.","doi":null,"rights_status":"Official external source only","source_status":"Official source","use_status":"Metadata and commentary only. The reading is the study page.","licence":null,"licence_label":"No licence recorded. Rights status under review.","full_text":null,"full_text_reason":"Full text is not published on this page. Public availability is not a licence to republish a document. Blockchain Lab has not recorded a licence that permits an HTML transcription, a training set, or a retrieval corpus of the paper. Text on this page is Blockchain Lab's own wording, or a pointer to a study that is also Blockchain Lab's wording.","editorial_line":"The paper compresses an inner-product argument so a circuit proof can be logarithmic without a trusted setup, in the discrete-log model.","canonical_url":"https://blockchainlab.com/whitepaper/bootle-ipa","record_url":"https://blockchainlab.com/research/corpus/papers/bootle-ipa","study_url":"https://blockchainlab.com/whitepaper/bootle-ipa","last_reviewed":"2026-10-01","last_checked":"2026-10-01","relationships":[{"rel":"Canonical reading","label":"Inner-product arguments study","href":"/whitepaper/bootle-ipa"},{"rel":"Related paper","label":"Bulletproofs","href":"/whitepaper/bulletproofs"},{"rel":"Related paper","label":"Halo","href":"/whitepaper/halo"}]}