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New Techniques for Traitor Tracing: Size 𝑁1/3 and More from Pairings

Author(s): Zhandry, Mark

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Abstract: The best existing pairing-based traitor tracing schemes have 𝑂(𝑁‾‾√) -sized parameters, which has stood since 2006. This intuitively seems to be consistent with the fact that pairings allow for degree-2 computations, yielding a quadratic compression. In this work, we show that this intuition is false by building a traitor tracing scheme from pairings with 𝑂(𝑁‾‾√3) -sized parameters. We additionally give schemes with a variety of parameter size trade-offs, including a scheme with constant-size ciphertexts and public keys (but linear-sized secret keys). We obtain our schemes by developing a number of new traitor tracing techniques, giving the first significant parameter improvements in pairings-based traitor tracing in over a decade.
Publication Date: 2020
Citation: Zhandry, Mark. "New Techniques for Traitor Tracing: Size 𝑁1/3 and More from Pairings." In Annual International Cryptology Conference (2020): pp. 652-682. doi:10.1007/978-3-030-56784-2_22
DOI: 10.1007/978-3-030-56784-2_22
ISSN: 0302-9743
EISSN: 1611-3349
Pages: 652 - 682
Type of Material: Conference Article
Journal/Proceeding Title: Annual International Cryptology Conference
Version: Author's manuscript

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