Probabilistic existence results for parent-identifying schemes

Yujie Gu, Minquan Cheng, Grigory Kabatiansky, Ying Miao

Research output: Contribution to journalArticlepeer-review

Abstract

Parent-identifying schemes provide a way to identify causes from effects for some information systems such as digital fingerprinting and group testing. In this paper, we consider combinatorial structures for parent-identifying schemes. First, we establish an equivalent relationship between parent-identifying schemes and forbidden configurations. Based on this relationship, we derive probabilistic existence lower bounds for two related combinatorial structures, that is, t-parent-identifying set systems (tIPPS) and t-multimedia parent-identifying codes (t-MIPPC), which are used in broadcast encryption and multimedia fingerprinting respectively. The probabilistic lower bound for the maximum size of a t-IPPS has the asymptotically optimal order of magnitude in many cases, and that for t-MIPPC provides the asymptotically optimal code rate when t = 2 and the best known asymptotic code rate when t ≥ 3. Furthermore, we analyze the structure of 2-IPPS and prove some bounds for certain cases.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - Jun 3 2019

All Science Journal Classification (ASJC) codes

  • General

Fingerprint Dive into the research topics of 'Probabilistic existence results for parent-identifying schemes'. Together they form a unique fingerprint.

Cite this