{ "id": "1508.01602", "version": "v1", "published": "2015-08-07T04:49:16.000Z", "updated": "2015-08-07T04:49:16.000Z", "title": "A Stronger Soft-Covering Lemma and Applications", "authors": [ "Paul Cuff" ], "comment": "IEEE CNS 2015, 2nd Workshop on Physical-layer Methods for Wireless Security, 4 pages", "categories": [ "cs.IT", "math.IT" ], "abstract": "Wyner's soft-covering lemma is a valuable tool for achievability proofs of information theoretic security, resolvability, channel synthesis, and source coding. The result herein sharpens the claim of soft-covering by moving away from an expected value analysis. Instead, a random codebook is shown to achieve the soft-covering phenomenon with high probability. The probability of failure is doubly-exponentially small in the block-length, enabling more powerful applications through the union bound.", "revisions": [ { "version": "v1", "updated": "2015-08-07T04:49:16.000Z" } ], "analyses": { "subjects": [ "94A15", "H.1.1" ], "keywords": [ "stronger soft-covering lemma", "applications", "information theoretic security", "expected value analysis", "channel synthesis" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150801602C" } } }