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Chaghri - A FHE-friendly Block Cipher

Authors:

Mohammad Mahzoun,

Dilara ToprakhisarAuthors Info & Claims

CCS '22: Proceedings of the 2022 ACM SIGSAC Conference on Computer and Communications Security

Pages 139 - 150

https://doi.org/10.1145/3548606.3559364

Published: 07 November 2022 Publication History

Abstract

The Recent progress in practical applications of secure computation protocols has also attracted attention to the symmetric-key primitives underlying them. Whereas traditional ciphers have evolved to be efficient with respect to certain performance metrics, advanced cryptographic protocols call for a different focus. The so called arithmetic complexity is viewed through the number and layout of non-linear operations in the circuit implemented by the protocol. Symmetric-key algorithms that are optimized with respect to this metric are said to be algebraic ciphers. Previous work targeting ZK and MPC protocols delivered great improvement in the performance of these applications both in lab and in practical use. Interestingly, despite its apparent benefits to privacy-aware cloud computing, algebraic ciphers targeting FHE did not attract similar attention.

In this paper we present Chaghri, an FHE-friendly block cipher enabling efficient transciphering in BGV-like schemes. A complete Chaghri circuit can be implemented using only 16 multiplications, 48 Frobenius automorphisms and 32 rotations, all arranged in a depth-32 circuit. Our HElib implementation achieves a throughput of 0.28 seconds-per-bit which is 63% faster thanAES in the same setting.

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Index Terms

Chaghri - A FHE-friendly Block Cipher
1. Security and privacy
  1. Cryptography
    1. Public key (asymmetric) techniques
      1. Public key encryption
    2. Symmetric cryptography and hash functions
      1. Block and stream ciphers

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cover image ACM Conferences

CCS '22: Proceedings of the 2022 ACM SIGSAC Conference on Computer and Communications Security

November 2022

3598 pages

ISBN:9781450394505

DOI:10.1145/3548606

General Chairs:
Heng Yin
University of California, Riverside
,
Angelos Stavrou
Virginia Tech
,
Program Chairs:
Cas Cremers
CISPA Helmholtz Center for Information Security
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Elaine Shi
Carnegie Mellon University

Copyright © 2022 Owner/Author.

This work is licensed under a Creative Commons Attribution International 4.0 License.

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Published: 07 November 2022

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November 7 - 11, 2022

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Cited By

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Wei BLu X(2024)Improved homomorphic evaluation for hash function based on TFHECybersecurity10.1186/s42400-024-00204-07:1Online publication date: 2-Jul-2024
https://doi.org/10.1186/s42400-024-00204-0
Abla PLi THe DHuang HYu SZhang Y(2024)Fair and Privacy-Preserved Data Trading Protocol by Exploiting BlockchainIEEE Transactions on Information Forensics and Security10.1109/TIFS.2024.339853519(9012-9025)Online publication date: 2024
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Jiao LLi YHao YGong X(2024)Differential Fault Attacks on Privacy Protocols Friendly Symmetric-Key PrimitivesIET Information Security10.1049/2024/74575172024Online publication date: 27-Mar-2024
https://dl.acm.org/doi/10.1049/2024/7457517
Wang BWu W(2024)Security analysis of P-SPN schemes against invariant subspace attack with inactive S-boxesDesigns, Codes and Cryptography10.1007/s10623-024-01465-z92:11(3753-3782)Online publication date: 21-Jul-2024
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Ashur TBuschman TMahzoun M(2024)Algebraic Cryptanalysis of the HADES Design Strategy: Application to Poseidon and Poseidon2Information Security and Privacy10.1007/978-981-97-5028-3_12(225-244)Online publication date: 15-Jul-2024
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Bariant ABoeuf ALemoine AManterola Ayala IØygarden MPerrin LRaddum H(2024)The Algebraic FreeLunch: Efficient Gröbner Basis Attacks Against Arithmetization-Oriented PrimitivesAdvances in Cryptology – CRYPTO 202410.1007/978-3-031-68385-5_5(139-173)Online publication date: 18-Aug-2024
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