Supersingular Isogeny and Ring Learning With Errors-Based Diffie-Hellman Cryptosystems: A Performance and Security Comparison Article Swipe
Claudio Téllez
,
Diogo Pereira
,
Fábio Borges
·
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.17648/wrac-2018-97122
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.17648/wrac-2018-97122
The purpose of this work is to provide a complexity analysis of the trade-off between performance and security for two post-quantum cryptosystems: isogeny cryptosystems based on supersingular elliptic curves (SSI) and the lattice-based ring learning with errors key exchange (RLWE), considered to be secure against quantum attacks.The intractability of the Computational Supersingular Isogeny Problem (CSSIP) and of the Decisional Supersingular Product Problem (DSSPP) form the basis of the security for cryptosystems based on isogenies between supersingular elliptic curves.As for the RLWE cryptosystem, its security rests on the hardness of the Learning With Errors problem, proven to be as hard as the Shortest Vector Problem (SVP).We analyze the tradeoff between performance and security for both SSI and RLWE cryptosystems in comparison with Discrete Logarithm Problem (DLP) and Integer Factorization Problem (IFP).As complexities increase for the attack algorithms when the key lengths become longer, RLWE outperforms all the other algorithms (including SSI) regarding key sizes at practical security levels.
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- Type
- article
- Language
- pt
- Landing Page
- https://doi.org/10.17648/wrac-2018-97122
- https://proceedings.science/proceedings/100062/_papers/97122/download/abstract_file1
- OA Status
- gold
- Cited By
- 2
- References
- 42
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2943477274
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- OpenAlex ID
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https://openalex.org/W2943477274Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.17648/wrac-2018-97122Digital Object Identifier
- Title
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Supersingular Isogeny and Ring Learning With Errors-Based Diffie-Hellman Cryptosystems: A Performance and Security ComparisonWork title
- Type
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articleOpenAlex work type
- Language
-
ptPrimary language
- Publication year
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2018Year of publication
- Publication date
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2018-01-01Full publication date if available
- Authors
-
Claudio Téllez, Diogo Pereira, Fábio BorgesList of authors in order
- Landing page
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https://doi.org/10.17648/wrac-2018-97122Publisher landing page
- PDF URL
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https://proceedings.science/proceedings/100062/_papers/97122/download/abstract_file1Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
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https://proceedings.science/proceedings/100062/_papers/97122/download/abstract_file1Direct OA link when available
- Concepts
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Isogeny, Cryptosystem, Diffie–Hellman key exchange, Computer science, Supersingular elliptic curve, Ring (chemistry), Learning with errors, Cryptography, Mathematics, Elliptic curve, Computer security, Public-key cryptography, Encryption, Pure mathematics, Chemistry, Key exchange, Organic chemistryTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
2Total citation count in OpenAlex
- Citations by year (recent)
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2023: 1, 2019: 1Per-year citation counts (last 5 years)
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42Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.Integer | 126 |
| abstract_inverted_index.Isogeny | 52 |
| abstract_inverted_index.Problem | 53, 61, 103, 123, 128 |
| abstract_inverted_index.Product | 60 |
| abstract_inverted_index.against | 44 |
| abstract_inverted_index.analyze | 105 |
| abstract_inverted_index.between | 14, 74, 108 |
| abstract_inverted_index.isogeny | 22 |
| abstract_inverted_index.lengths | 139 |
| abstract_inverted_index.levels. | 156 |
| abstract_inverted_index.longer, | 141 |
| abstract_inverted_index.provide | 7 |
| abstract_inverted_index.purpose | 1 |
| abstract_inverted_index.quantum | 45 |
| abstract_inverted_index.(IFP).As | 129 |
| abstract_inverted_index.(SVP).We | 104 |
| abstract_inverted_index.Discrete | 121 |
| abstract_inverted_index.Learning | 90 |
| abstract_inverted_index.Shortest | 101 |
| abstract_inverted_index.analysis | 10 |
| abstract_inverted_index.elliptic | 27, 76 |
| abstract_inverted_index.exchange | 38 |
| abstract_inverted_index.hardness | 87 |
| abstract_inverted_index.increase | 131 |
| abstract_inverted_index.learning | 34 |
| abstract_inverted_index.problem, | 93 |
| abstract_inverted_index.security | 17, 68, 83, 111, 155 |
| abstract_inverted_index.tradeoff | 107 |
| abstract_inverted_index.Logarithm | 122 |
| abstract_inverted_index.curves.As | 77 |
| abstract_inverted_index.isogenies | 73 |
| abstract_inverted_index.practical | 154 |
| abstract_inverted_index.regarding | 150 |
| abstract_inverted_index.trade-off | 13 |
| abstract_inverted_index.(including | 148 |
| abstract_inverted_index.Decisional | 58 |
| abstract_inverted_index.algorithms | 135, 147 |
| abstract_inverted_index.comparison | 119 |
| abstract_inverted_index.complexity | 9 |
| abstract_inverted_index.considered | 40 |
| abstract_inverted_index.attacks.The | 46 |
| abstract_inverted_index.outperforms | 143 |
| abstract_inverted_index.performance | 15, 109 |
| abstract_inverted_index.complexities | 130 |
| abstract_inverted_index.post-quantum | 20 |
| abstract_inverted_index.Computational | 50 |
| abstract_inverted_index.Factorization | 127 |
| abstract_inverted_index.Supersingular | 51, 59 |
| abstract_inverted_index.cryptosystem, | 81 |
| abstract_inverted_index.cryptosystems | 23, 70, 117 |
| abstract_inverted_index.lattice-based | 32 |
| abstract_inverted_index.supersingular | 26, 75 |
| abstract_inverted_index.cryptosystems: | 21 |
| abstract_inverted_index.intractability | 47 |
| cited_by_percentile_year.max | 94 |
| cited_by_percentile_year.min | 89 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile.value | 0.75373153 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |