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Grydin, M. Stolbchenko, and M. Schaper, “Influence of Nozzle Shape on Near-Surface Segregation Formation During Twin-Roll Casting of Aluminum Strips,” in <i>Light Metals 2020</i>, Cham, 2020, pp. 1039–1044.","apa":"Grydin, O., Stolbchenko, M., &#38; Schaper, M. (2020). Influence of Nozzle Shape on Near-Surface Segregation Formation During Twin-Roll Casting of Aluminum Strips. In <i>Light Metals 2020</i> (pp. 1039–1044). <a href=\"https://doi.org/10.1007/978-3-030-36408-3_141\">https://doi.org/10.1007/978-3-030-36408-3_141</a>","chicago":"Grydin, Olexandr, Mykhailo Stolbchenko, and Mirko Schaper. “Influence of Nozzle Shape on Near-Surface Segregation Formation During Twin-Roll Casting of Aluminum Strips.” In <i>Light Metals 2020</i>, 1039–44. Cham, 2020. <a href=\"https://doi.org/10.1007/978-3-030-36408-3_141\">https://doi.org/10.1007/978-3-030-36408-3_141</a>.","short":"O. Grydin, M. Stolbchenko, M. 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In: <i>Light Metals 2020</i>. ; 2020:1039-1044. doi:<a href=\"https://doi.org/10.1007/978-3-030-36408-3_141\">10.1007/978-3-030-36408-3_141</a>"},"publication":"Light Metals 2020","department":[{"_id":"158"},{"_id":"630"}],"type":"book_chapter","place":"Cham","date_created":"2021-09-16T16:29:14Z"},{"citation":{"ama":"Minerva: The curse of ECDSA nonces. Published online 2020. doi:<a href=\"https://doi.org/10.13154/TCHES.V2020.I4.281-308\">10.13154/TCHES.V2020.I4.281-308</a>","bibtex":"@article{Minerva: The curse of ECDSA nonces_2020, DOI={<a href=\"https://doi.org/10.13154/TCHES.V2020.I4.281-308\">10.13154/TCHES.V2020.I4.281-308</a>}, year={2020} }","mla":"<i>Minerva: The Curse of ECDSA Nonces</i>. 2020, doi:<a href=\"https://doi.org/10.13154/TCHES.V2020.I4.281-308\">10.13154/TCHES.V2020.I4.281-308</a>.","chicago":"“Minerva: The Curse of ECDSA Nonces,” 2020. <a href=\"https://doi.org/10.13154/TCHES.V2020.I4.281-308\">https://doi.org/10.13154/TCHES.V2020.I4.281-308</a>.","short":"(2020).","apa":"<i>Minerva: The curse of ECDSA nonces</i>. (2020). <a href=\"https://doi.org/10.13154/TCHES.V2020.I4.281-308\">https://doi.org/10.13154/TCHES.V2020.I4.281-308</a>","ieee":"“Minerva: The curse of ECDSA nonces,” 2020, doi: <a href=\"https://doi.org/10.13154/TCHES.V2020.I4.281-308\">10.13154/TCHES.V2020.I4.281-308</a>."},"abstract":[{"lang":"eng","text":"We present our discovery of a group of side-channel vulnerabilities in implementations of the ECDSA signature algorithm in a widely used Atmel AT90SC FIPS 140-2 certified smartcard chip and five cryptographic libraries (libgcrypt, wolfSSL, MatrixSSL, SunEC/OpenJDK/Oracle JDK, Crypto++). Vulnerable implementations leak the bit-length of the scalar used in scalar multiplication via timing. Using leaked bit-length, we mount a lattice attack on a 256-bit curve, after observing enough signing operations. We propose two new methods to recover the full private key requiring just 500 signatures for simulated leakage data, 1200 for real cryptographic library data, and 2100 for smartcard data. The number of signatures needed for a successful attack depends on the chosen method and its parameters as well as on the noise profile, influenced by the type of leakage and used computation platform. We use the set of vulnerabilities reported in this paper, together with the recently published TPM-FAIL vulnerability [MSE+20] as a basis for real-world benchmark datasets to systematically compare our newly proposed methods and all previously published applicable lattice-based key recovery methods. The resulting exhaustive comparison highlights the methods’ sensitivity to its proper parametrization and demonstrates that our methods are more efficient in most cases. For the TPM-FAIL dataset, we decreased the number of required signatures from approximately 40 000 to mere 900."}],"date_created":"2026-04-30T09:26:50Z","type":"journal_article","year":"2020","status":"public","title":"Minerva: The curse of ECDSA nonces","date_updated":"2026-04-30T09:32:54Z","language":[{"iso":"en"}],"_id":"65529","user_id":"125442","doi":"10.13154/TCHES.V2020.I4.281-308"},{"user_id":"125442","doi":"10.1007/978-3-030-59013-0_11","publisher":"Springer International Publishing","_id":"65530","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2026-04-30T09:32:51Z","publication_identifier":{"issn":["0302-9743","1611-3349"],"isbn":["9783030590123","9783030590130"]},"author":[{"first_name":"Vladimir","last_name":"Sedlacek","full_name":"Sedlacek, Vladimir"},{"last_name":"Jancar","first_name":"Jan","full_name":"Jancar, Jan"},{"last_name":"Svenda","first_name":"Petr","full_name":"Svenda, Petr"}],"year":"2020","title":"Fooling Primality Tests on Smartcards","status":"public","type":"book_chapter","date_created":"2026-04-30T09:26:58Z","place":"Cham","citation":{"mla":"Sedlacek, Vladimir, et al. “Fooling Primality Tests on Smartcards.” <i>Lecture Notes in Computer Science</i>, Springer International Publishing, 2020, doi:<a href=\"https://doi.org/10.1007/978-3-030-59013-0_11\">10.1007/978-3-030-59013-0_11</a>.","bibtex":"@inbook{Sedlacek_Jancar_Svenda_2020, place={Cham}, title={Fooling Primality Tests on Smartcards}, DOI={<a href=\"https://doi.org/10.1007/978-3-030-59013-0_11\">10.1007/978-3-030-59013-0_11</a>}, booktitle={Lecture Notes in Computer Science}, publisher={Springer International Publishing}, author={Sedlacek, Vladimir and Jancar, Jan and Svenda, Petr}, year={2020} }","ama":"Sedlacek V, Jancar J, Svenda P. Fooling Primality Tests on Smartcards. In: <i>Lecture Notes in Computer Science</i>. Springer International Publishing; 2020. doi:<a href=\"https://doi.org/10.1007/978-3-030-59013-0_11\">10.1007/978-3-030-59013-0_11</a>","ieee":"V. Sedlacek, J. Jancar, and P. Svenda, “Fooling Primality Tests on Smartcards,” in <i>Lecture Notes in Computer Science</i>, Cham: Springer International Publishing, 2020.","apa":"Sedlacek, V., Jancar, J., &#38; Svenda, P. (2020). Fooling Primality Tests on Smartcards. In <i>Lecture Notes in Computer Science</i>. Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-030-59013-0_11\">https://doi.org/10.1007/978-3-030-59013-0_11</a>","chicago":"Sedlacek, Vladimir, Jan Jancar, and Petr Svenda. “Fooling Primality Tests on Smartcards.” In <i>Lecture Notes in Computer Science</i>. Cham: Springer International Publishing, 2020. <a href=\"https://doi.org/10.1007/978-3-030-59013-0_11\">https://doi.org/10.1007/978-3-030-59013-0_11</a>.","short":"V. Sedlacek, J. Jancar, P. Svenda, in: Lecture Notes in Computer Science, Springer International Publishing, Cham, 2020."},"publication":"Lecture Notes in Computer Science"},{"author":[{"full_name":"Halding, Ole","last_name":"Halding","first_name":"Ole"},{"id":"79451","last_name":"Hartung","first_name":"Olaf","orcid":"0009-0007-8673-250X","full_name":"Hartung, Olaf"}],"publication_identifier":{"isbn":["979-8-6046-6598-5"]},"title":"Die Eigenen täuschen: Szenen eines Kriegsausbruchs nach wahrer Geschichte ","status":"public","year":"2020","publication_status":"published","date_updated":"2026-04-30T13:13:02Z","publisher":"BoD","_id":"29823","language":[{"iso":"ger"}],"edition":"1","page":"166","user_id":"79451","citation":{"ieee":"O. Halding and O. Hartung, <i>Die Eigenen täuschen: Szenen eines Kriegsausbruchs nach wahrer Geschichte </i>, 1st ed. Norderstedt: BoD, 2020.","apa":"Halding, O., &#38; Hartung, O. 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