Fooling primality tests on smartcards

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SEDLÁČEK Vladimír JANČÁR Ján ŠVENDA Petr

Rok publikování 2020
Druh Článek ve sborníku
Konference 25th European Symposium on Research in Computer Security (ESORICS) 2020
Fakulta / Pracoviště MU

Fakulta informatiky

Citace
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Doi http://dx.doi.org/10.1007/978-3-030-59013-0_11
Klíčová slova ECC; primality; pseudoprimes; smartcards
Popis We analyse whether the smartcards of the JavaCard platform correctly validate primality of domain parameters. The work is inspired by Albrecht et al. (Prime and Prejudice) [1], where the authors analysed many open-source libraries and constructed pseudoprimes fooling the primality testing functions. However, in the case of smartcards, often there is no way to invoke the primality test directly, so we trigger it by replacing (EC)DSA and (EC)DH prime domain parameters by adversarial composites. Such a replacement results in vulnerability to Pohlig-Hellman [30] style attacks, leading to private key recovery. Out of nine smartcards (produced by five major manufacturers) we tested (See https://crocs.fi.muni.cz/papers/primality_esorics20 for more information), all but one have no primality test in parameter validation. As the JavaCard platform provides no public primality testing API, the problem cannot be fixed by an extra parameter check, making it difficult to mitigate in already deployed smartcards.
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