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Incompressible Functional Encryption

Authors Rishab Goyal , Venkata Koppula , Mahesh Sreekumar Rajasree , Aman Verma

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  • Security and privacy → Public key encryption
Keywords
  • functional encryption
  • attribute-based encryption
  • incompressible encryption

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Abstract

Incompressible encryption (Dziembowski, Crypto'06; Guan, Wichs, Zhandry, Eurocrypt'22) protects from attackers that learn the entire decryption key, but cannot store the full ciphertext. In incompressible encryption, the attacker must try to compress a ciphertext within pre-specified memory bound S before receiving the secret key.
In this work, we generalize the notion of incompressibility to functional encryption. In incompressible functional encryption, the adversary can corrupt non-distinguishing keys at any point, but receives the distinguishing keys only after compressing the ciphertext to within S bits. An important efficiency measure for incompressible encryption is the ciphertext-rate (i.e., rate = |m|/|ct|). We give many new results for incompressible functional encryption for circuits, from minimal assumption of (non-incompressible) functional encryption, with  
1) ct-rate-1/2 and short secret keys, 
2) ct-rate-1 and large secret keys. 
Along the way, we also give a new incompressible attribute-based encryption for circuits from standard assumptions, with ct-rate-1/2 and short secret keys. Our results achieve optimal efficiency, as incompressible attribute-based/functional encryption with ct-rate-1 as well as short secret keys has strong barriers for provable security from standard assumptions. Moreover, our assumptions are minimal as incompressible attribute-based/functional encryption are strictly stronger than their non-incompressible counterparts.

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Rishab Goyal, Venkata Koppula, Mahesh Sreekumar Rajasree, and Aman Verma. Incompressible Functional Encryption. In 16th Innovations in Theoretical Computer Science Conference (ITCS 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 325, pp. 56:1-56:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025) https://doi.org/10.4230/LIPIcs.ITCS.2025.56

Author Details

Rishab Goyal
  • University of Wisconsin-Madison, WI, USA
Venkata Koppula
  • IIT Delhi, India
Mahesh Sreekumar Rajasree
  • IIT Delhi, India
Aman Verma
  • IIT Delhi, India

Funding

  • Goyal, Rishab: Support for this research was provided by OVCRGE at UW–Madison with funding from the Wisconsin Alumni Research Foundation.

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