Public-Key Watermarking Schemes for Pseudorandom Functions

Publication Name

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Abstract

A software watermarking scheme can embed a message into a program while preserving its functionality. The embedded message can be extracted later by an extraction algorithm, and no one could remove it without significantly changing the functionality of the program. A watermarking scheme is public key if neither the marking procedure nor the extraction procedure needs a watermarking secret key. Prior constructions of watermarking schemes mainly focus on watermarking pseudorandom functions (PRFs), and the major open problem in this direction is to construct a public-key watermarkable PRF. In this work, we solve the open problem via constructing public-key watermarkable PRFs with different trade-offs from various assumptions, ranging from standard lattice assumptions to the existence of indistinguishability obfuscation. To achieve the results, we first construct watermarking schemes in a weaker model, where the extraction algorithm is provided with a “hint” about the watermarked PRF key. Then we upgrade the constructions to standard watermarking schemes using a robust unobfuscatable PRF. We also provide the first construction of robust unobfuscatable PRF in this work, which is of independent interest.

Open Access Status

This publication is not available as open access

Volume

13508 LNCS

First Page

637

Last Page

667

Funding Number

201909185070

Funding Sponsor

Australian Research Council

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Link to publisher version (DOI)

http://dx.doi.org/10.1007/978-3-031-15979-4_22