http://it-forensik.fiw.hs-wismar.de/index.php?action=history&feed=atom&title=Pascal_Stehling 2026-10-31T10:16:29Z Versionsgeschichte dieser Seite in IT-Forensik Wiki MediaWiki 1.43.11 http://it-forensik.fiw.hs-wismar.de/index.php?title=Pascal_Stehling&diff=3134&oldid=prev 2024-11-21T19:47:55Z

<p>Die Seite wurde neu angelegt: „Master Thesis, Hochschule Wismar, Oktober 2024 Autor: Pascal Stehling Titel: &#039;&#039;&#039;Homomorphic Post-Quantum Cryptography - Evaluation of Module Learning with Error in Homomorphic Cryptography&#039;&#039;&#039; Abstract This thesis investigates the conversion of Ring-LWE (R-LWE)-based homomorphic encryption schemes to Module-LWE (M-LWE) and analyses the resulting perfor- mance differences. The advantage of M-LWE is that a fixed-sized polynomial de- gree can be utilized…“</p> <p><b>Neue Seite</b></p><div>Master Thesis, Hochschule Wismar, Oktober 2024<br /> <br /> Autor: Pascal Stehling<br /> <br /> Titel: &#039;&#039;&#039;Homomorphic Post-Quantum Cryptography - Evaluation of Module<br /> Learning with Error in Homomorphic Cryptography&#039;&#039;&#039;<br /> <br /> <br /> Abstract<br /> <br /> This thesis investigates the conversion of Ring-LWE (R-LWE)-based homomorphic<br /> encryption schemes to Module-LWE (M-LWE) and analyses the resulting perfor-<br /> mance differences. The advantage of M-LWE is that a fixed-sized polynomial de-<br /> gree can be utilized and the security of the system can be changed by increas-<br /> ing the vector/matrix dimension. This is the same concept that is utilized in the<br /> CRYSTALS-Kyber encryption scheme. The feasibility of transferring R-LWE to M-<br /> LWE is demonstrated based on the BFV homomorphic encryption scheme, showing<br /> that a functioning homomorphic encryption can be maintained. While the addition<br /> is straightforward, the multiplication necessitates the generation of multiple relin-<br /> earization (evaluation) keys. It is demonstrated that the practical performance is<br /> only slightly inferior to that of R-LWE, with the advantage of smaller ciphertext<br /> sizes. However, there is still considerable scope for improvement in theoretical as-<br /> pects, such as the study of security benefits and in practice, in enhancing the general<br /> performance.<br /> <br /> [[Media:MT_PSTehling.pdf|Download PDF-Dokument]] <br /> <br /> [[Media:MTP_PSTehling.pdf|Download Folien-PDF-Dokument]]</div>

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