SDitH in the QROM

Carlos Aguilar-Melchor; Andreas Hülsing; David Joseph; Christian Majenz; Eyal Ronen; Dongze Yue

doi:10.1007/978-981-99-8739-9_11

SDitH in the QROM

Carlos Aguilar-Melchor, Andreas Hülsing, David Joseph, Christian Majenz, Eyal Ronen, Dongze Yue

School of Computer Science

Tel Aviv University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The MPC in the Head (MPCitH) paradigm has recently led to significant improvements for signatures in the code-based setting. In this paper we consider some modifications to a recent twist of MPCitH, called Hypercube-MPCitH, that in the code-based setting provides the currently best known signature sizes. By compressing the Hypercube-MPCitH five-round code-based identification scheme into three-rounds we obtain two main benefits. On the one hand, it allows us to further develop recent techniques to provide a tight security proof in the quantum-accessible random oracle model (QROM), avoiding the catastrophic reduction losses incurred using generic QROM-results for Fiat-Shamir. On the other hand, we can reduce the already low-cost online part of the signature even further. In addition, we propose the use of proof-of-work techniques that allow to reduce the signature size. On the technical side, we develop generalizations of several QROM proof techniques and introduce a variant of the recently proposed extractable QROM.

Original language	English
Title of host publication	Advances in Cryptology – ASIACRYPT 2023 - 29th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings
Editors	Jian Guo, Ron Steinfeld
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	317-350
Number of pages	34
ISBN (Print)	9789819987382
DOIs	https://doi.org/10.1007/978-981-99-8739-9_11
State	Published - 2023
Event	29th Annual International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2023 - Guangzhou, China Duration: 4 Dec 2023 → 8 Dec 2023

Publication series

Name	Lecture Notes in Computer Science
Volume	14444 LNCS

Conference

Conference	29th Annual International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2023
Country/Territory	China
City	Guangzhou
Period	4/12/23 → 8/12/23

Keywords

Fiat-Shamir
MPCitH
Post-quantum cryptography
QROM
QROM+
SDitH
code-based signatures
provable security

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-981-99-8739-9_11

Cite this

Aguilar-Melchor, C., Hülsing, A., Joseph, D., Majenz, C., Ronen, E., & Yue, D. (2023). SDitH in the QROM. In J. Guo, & R. Steinfeld (Eds.), Advances in Cryptology – ASIACRYPT 2023 - 29th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings (pp. 317-350). (Lecture Notes in Computer Science; Vol. 14444 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-981-99-8739-9_11

Aguilar-Melchor, Carlos ; Hülsing, Andreas ; Joseph, David et al. / SDitH in the QROM. Advances in Cryptology – ASIACRYPT 2023 - 29th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings. editor / Jian Guo ; Ron Steinfeld. Springer Science and Business Media Deutschland GmbH, 2023. pp. 317-350 (Lecture Notes in Computer Science).

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title = "SDitH in the QROM",

abstract = "The MPC in the Head (MPCitH) paradigm has recently led to significant improvements for signatures in the code-based setting. In this paper we consider some modifications to a recent twist of MPCitH, called Hypercube-MPCitH, that in the code-based setting provides the currently best known signature sizes. By compressing the Hypercube-MPCitH five-round code-based identification scheme into three-rounds we obtain two main benefits. On the one hand, it allows us to further develop recent techniques to provide a tight security proof in the quantum-accessible random oracle model (QROM), avoiding the catastrophic reduction losses incurred using generic QROM-results for Fiat-Shamir. On the other hand, we can reduce the already low-cost online part of the signature even further. In addition, we propose the use of proof-of-work techniques that allow to reduce the signature size. On the technical side, we develop generalizations of several QROM proof techniques and introduce a variant of the recently proposed extractable QROM.",

keywords = "Fiat-Shamir, MPCitH, Post-quantum cryptography, QROM, QROM+, SDitH, code-based signatures, provable security",

author = "Carlos Aguilar-Melchor and Andreas H{\"u}lsing and David Joseph and Christian Majenz and Eyal Ronen and Dongze Yue",

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Aguilar-Melchor, C, Hülsing, A, Joseph, D, Majenz, C, Ronen, E & Yue, D 2023, SDitH in the QROM. in J Guo & R Steinfeld (eds), Advances in Cryptology – ASIACRYPT 2023 - 29th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings. Lecture Notes in Computer Science, vol. 14444 LNCS, Springer Science and Business Media Deutschland GmbH, pp. 317-350, 29th Annual International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2023, Guangzhou, China, 4/12/23. https://doi.org/10.1007/978-981-99-8739-9_11

SDitH in the QROM. / Aguilar-Melchor, Carlos; Hülsing, Andreas; Joseph, David et al.
Advances in Cryptology – ASIACRYPT 2023 - 29th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings. ed. / Jian Guo; Ron Steinfeld. Springer Science and Business Media Deutschland GmbH, 2023. p. 317-350 (Lecture Notes in Computer Science; Vol. 14444 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - SDitH in the QROM

AU - Aguilar-Melchor, Carlos

AU - Hülsing, Andreas

AU - Joseph, David

AU - Majenz, Christian

AU - Ronen, Eyal

AU - Yue, Dongze

PY - 2023

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N2 - The MPC in the Head (MPCitH) paradigm has recently led to significant improvements for signatures in the code-based setting. In this paper we consider some modifications to a recent twist of MPCitH, called Hypercube-MPCitH, that in the code-based setting provides the currently best known signature sizes. By compressing the Hypercube-MPCitH five-round code-based identification scheme into three-rounds we obtain two main benefits. On the one hand, it allows us to further develop recent techniques to provide a tight security proof in the quantum-accessible random oracle model (QROM), avoiding the catastrophic reduction losses incurred using generic QROM-results for Fiat-Shamir. On the other hand, we can reduce the already low-cost online part of the signature even further. In addition, we propose the use of proof-of-work techniques that allow to reduce the signature size. On the technical side, we develop generalizations of several QROM proof techniques and introduce a variant of the recently proposed extractable QROM.

AB - The MPC in the Head (MPCitH) paradigm has recently led to significant improvements for signatures in the code-based setting. In this paper we consider some modifications to a recent twist of MPCitH, called Hypercube-MPCitH, that in the code-based setting provides the currently best known signature sizes. By compressing the Hypercube-MPCitH five-round code-based identification scheme into three-rounds we obtain two main benefits. On the one hand, it allows us to further develop recent techniques to provide a tight security proof in the quantum-accessible random oracle model (QROM), avoiding the catastrophic reduction losses incurred using generic QROM-results for Fiat-Shamir. On the other hand, we can reduce the already low-cost online part of the signature even further. In addition, we propose the use of proof-of-work techniques that allow to reduce the signature size. On the technical side, we develop generalizations of several QROM proof techniques and introduce a variant of the recently proposed extractable QROM.

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KW - Post-quantum cryptography

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KW - code-based signatures

KW - provable security

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M3 - منشور من مؤتمر

SN - 9789819987382

T3 - Lecture Notes in Computer Science

SP - 317

EP - 350

BT - Advances in Cryptology – ASIACRYPT 2023 - 29th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings

A2 - Guo, Jian

A2 - Steinfeld, Ron

PB - Springer Science and Business Media Deutschland GmbH

T2 - 29th Annual International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2023

Y2 - 4 December 2023 through 8 December 2023

ER -

Aguilar-Melchor C, Hülsing A, Joseph D, Majenz C, Ronen E, Yue D. SDitH in the QROM. In Guo J, Steinfeld R, editors, Advances in Cryptology – ASIACRYPT 2023 - 29th International Conference on the Theory and Application of Cryptology and Information Security, Proceedings. Springer Science and Business Media Deutschland GmbH. 2023. p. 317-350. (Lecture Notes in Computer Science). doi: 10.1007/978-981-99-8739-9_11

SDitH in the QROM

Abstract

Publication series

Conference

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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