Pub Date : 2022-10-13DOI: 10.48550/arXiv.2210.06693
Qipeng Liu
QROM (quantum random oracle model), introduced by Boneh et al. (Asiacrypt 2011), captures all generic algorithms. However, it fails to describe non-uniform quantum algorithms with preprocessing power, which receives a piece of bounded classical or quantum advice. As non-uniform algorithms are largely believed to be the right model for attackers, starting from the work by Nayebi, Aaronson, Belovs, and Trevisan (QIC 2015), a line of works investigates non-uniform security in the random oracle model. Chung, Guo, Liu, and Qian (FOCS 2020) provide a framework and establish non-uniform security for many cryptographic applications. In this work, we continue the study on quantum advice in the QROM. We provide a new idea that generalizes the previous multi-instance framework, which we believe is more quantum-friendly and should be the quantum analogue of multi-instance games. To this end, we match the bounds with quantum advice to those with classical advice by Chung et al., showing quantum advice is almost as good/bad as classical advice for many natural security games in the QROM. Finally, we show that for some contrived games in the QROM, quantum advice can be exponentially better than classical advice for some parameter regimes. To our best knowledge, it provides some evidence of a general separation between quantum and classical advice relative to an unstructured oracle.
{"title":"Non-uniformity and Quantum Advice in the Quantum Random Oracle Model","authors":"Qipeng Liu","doi":"10.48550/arXiv.2210.06693","DOIUrl":"https://doi.org/10.48550/arXiv.2210.06693","url":null,"abstract":"QROM (quantum random oracle model), introduced by Boneh et al. (Asiacrypt 2011), captures all generic algorithms. However, it fails to describe non-uniform quantum algorithms with preprocessing power, which receives a piece of bounded classical or quantum advice. As non-uniform algorithms are largely believed to be the right model for attackers, starting from the work by Nayebi, Aaronson, Belovs, and Trevisan (QIC 2015), a line of works investigates non-uniform security in the random oracle model. Chung, Guo, Liu, and Qian (FOCS 2020) provide a framework and establish non-uniform security for many cryptographic applications. In this work, we continue the study on quantum advice in the QROM. We provide a new idea that generalizes the previous multi-instance framework, which we believe is more quantum-friendly and should be the quantum analogue of multi-instance games. To this end, we match the bounds with quantum advice to those with classical advice by Chung et al., showing quantum advice is almost as good/bad as classical advice for many natural security games in the QROM. Finally, we show that for some contrived games in the QROM, quantum advice can be exponentially better than classical advice for some parameter regimes. To our best knowledge, it provides some evidence of a general separation between quantum and classical advice relative to an unstructured oracle.","PeriodicalId":117521,"journal":{"name":"International Conference on the Theory and Application of Cryptographic Techniques","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124743008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-11DOI: 10.1007/978-3-030-77886-6_17
P. Ananth, R. L. Placa
{"title":"Secure Software Leasing","authors":"P. Ananth, R. L. Placa","doi":"10.1007/978-3-030-77886-6_17","DOIUrl":"https://doi.org/10.1007/978-3-030-77886-6_17","url":null,"abstract":"","PeriodicalId":117521,"journal":{"name":"International Conference on the Theory and Application of Cryptographic Techniques","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114370484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-10DOI: 10.1007/978-3-030-45727-3_24
Veronika Kuchta, A. Sakzad, D. Stehlé, Ron Steinfeld, Shifeng Sun
{"title":"Measure-Rewind-Measure: Tighter Quantum Random Oracle Model Proofs for One-Way to Hiding and CCA Security","authors":"Veronika Kuchta, A. Sakzad, D. Stehlé, Ron Steinfeld, Shifeng Sun","doi":"10.1007/978-3-030-45727-3_24","DOIUrl":"https://doi.org/10.1007/978-3-030-45727-3_24","url":null,"abstract":"","PeriodicalId":117521,"journal":{"name":"International Conference on the Theory and Application of Cryptographic Techniques","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128901860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-10DOI: 10.1007/978-3-030-45727-3_15
Geoffroy Couteau, Shuichi Katsumata, B. Ursu
{"title":"Non-interactive Zero-Knowledge in Pairing-Free Groups from Weaker Assumptions","authors":"Geoffroy Couteau, Shuichi Katsumata, B. Ursu","doi":"10.1007/978-3-030-45727-3_15","DOIUrl":"https://doi.org/10.1007/978-3-030-45727-3_15","url":null,"abstract":"","PeriodicalId":117521,"journal":{"name":"International Conference on the Theory and Application of Cryptographic Techniques","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121542875","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-10DOI: 10.1007/978-3-030-45727-3_7
Ward Beullens
{"title":"Sigma Protocols for MQ, PKP and SIS, and Fishy Signature Schemes","authors":"Ward Beullens","doi":"10.1007/978-3-030-45727-3_7","DOIUrl":"https://doi.org/10.1007/978-3-030-45727-3_7","url":null,"abstract":"","PeriodicalId":117521,"journal":{"name":"International Conference on the Theory and Application of Cryptographic Techniques","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134447797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-10DOI: 10.1007/978-3-030-45727-3_4
Andre Esser, Alexander May
{"title":"Low Weight Discrete Logarithm and Subset Sum in 20.65n with Polynomial Memory","authors":"Andre Esser, Alexander May","doi":"10.1007/978-3-030-45727-3_4","DOIUrl":"https://doi.org/10.1007/978-3-030-45727-3_4","url":null,"abstract":"","PeriodicalId":117521,"journal":{"name":"International Conference on the Theory and Application of Cryptographic Techniques","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114439730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-10DOI: 10.1007/978-3-030-45727-3_2
Pierre-Alain Fouque, P. Kirchner, Mehdi Tibouchi, Alexandre Wallet, Yang Yu
{"title":"Key Recovery from Gram-Schmidt Norm Leakage in Hash-and-Sign Signatures over NTRU Lattices","authors":"Pierre-Alain Fouque, P. Kirchner, Mehdi Tibouchi, Alexandre Wallet, Yang Yu","doi":"10.1007/978-3-030-45727-3_2","DOIUrl":"https://doi.org/10.1007/978-3-030-45727-3_2","url":null,"abstract":"","PeriodicalId":117521,"journal":{"name":"International Conference on the Theory and Application of Cryptographic Techniques","volume":"214 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132361419","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-10DOI: 10.1007/978-3-030-45724-2_11
M. Naya-Plasencia, A. Schrottenloher
{"title":"Optimal Merging in Quantum k-xor and k-xor-sum Algorithms","authors":"M. Naya-Plasencia, A. Schrottenloher","doi":"10.1007/978-3-030-45724-2_11","DOIUrl":"https://doi.org/10.1007/978-3-030-45724-2_11","url":null,"abstract":"","PeriodicalId":117521,"journal":{"name":"International Conference on the Theory and Application of Cryptographic Techniques","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123936823","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-10DOI: 10.1007/978-3-030-45721-1_14
A. Garg, Y. Kalai, Dakshita Khurana
{"title":"Low Error Efficient Computational Extractors in the CRS Model","authors":"A. Garg, Y. Kalai, Dakshita Khurana","doi":"10.1007/978-3-030-45721-1_14","DOIUrl":"https://doi.org/10.1007/978-3-030-45721-1_14","url":null,"abstract":"","PeriodicalId":117521,"journal":{"name":"International Conference on the Theory and Application of Cryptographic Techniques","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114878906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-10DOI: 10.1007/978-3-030-45727-3_20
Carmit Hazay, R. Pass, Muthuramakrishnan Venkitasubramaniam
{"title":"Which Languages Have 4-Round Fully Black-Box Zero-Knowledge Arguments from One-Way Functions?","authors":"Carmit Hazay, R. Pass, Muthuramakrishnan Venkitasubramaniam","doi":"10.1007/978-3-030-45727-3_20","DOIUrl":"https://doi.org/10.1007/978-3-030-45727-3_20","url":null,"abstract":"","PeriodicalId":117521,"journal":{"name":"International Conference on the Theory and Application of Cryptographic Techniques","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130461953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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