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- CSIDH (1)
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- Flächenmonitoring (1)
- Freiraumstruktur (1)
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Institut
This thesis aims at providing efficient and side-channel protected implementations of isogeny-based primitives, and at their application in threshold protocols. It is based on a sequence of academic papers.
Chapter 3 reviews the original variable-time implementation of CSIDH and introduces several optimizations, e.g. a significant improvement of isogeny computations by using both Montgomery and Edwards curves. In total, our improvements yield a speedup of 25% compared to the original implementation.
Chapter 4 presents the first practical constant-time implementation of CSIDH. We describe how variable-time implementations of CSIDH leak information on private keys, and describe ways to mitigate this. Further, we present several techniques to speed up the implementation. In total, our constant-time implementation achieves a rather small slowdown by a factor of 3.03.
Chapter 5 reviews practical fault injection attacks on CSIDH and presents countermeasures. We evaluate different attack models theoretically and practically, using low-budget equipment. Moreover, we present countermeasures that mitigate the proposed fault injection attacks, only leading to a small performance overhead of 7%.
Chapter 6 initiates the study of threshold schemes based on the Hard Homogeneous Spaces (HHS) framework of Couveignes. Using the HHS equivalent of Shamir’s secret sharing in the exponents, we adapt isogeny based schemes to the threshold setting. In particular, we present threshold versions of the CSIDH public key encryption and the CSI-FiSh signature scheme.
Chapter 7 gives a sieving algorithm for finding pairs of consecutive smooth numbers that utilizes solutions to the Prouhet-Tarry-Escott (PTE) problem. Recent compact isogeny-based protocols, namely B-SIDH and SQISign, both require large primes that lie between two smooth integers. Finding such a prime can be seen as a special case of finding twin smooth integers under the additional stipulation that their sum is a prime.
This study is aimed at detecting the rate of untimely immunization in a large cohort of extremely low gestational age neonates (ELGANs) of the German Neonatal Network (GNN) and at addressing risk factors for delayed vaccination and associated long-term consequences. We performed an observational study of the GNN between 1st January 2010 and 31st December 2019. The immunization status for the hexavalent and pneumococcal immunization was evaluated in n = 8401 preterm infants <29 weeks of gestation. Univariate analysis and logistic/linear regression models were used to identify risk factors for vaccination delay and outcomes at a 5-year follow-up. In our cohort n = 824 (9.8%) ELGANs did not receive a timely first immunization with the hexavalent and pneumococcal vaccine. Risk factors for delayed vaccination were SGA status (18.1% vs. 13.5%; OR 1.3; 95% CI: 1.1–1.7), impaired growth and surrogates for complicated clinical courses (i.e., need for inotropes, necrotizing enterocolitis). At 5 years of age, timely immunized children had a lower risk of bronchitis (episodes within last year: 27.3% vs. 37.7%; OR 0.60, 95% CI: 0.42–0.86) but spirometry measures were unaffected. In conclusion, a significant proportion of ELGANs are untimely immunized, specifically those with increased vulnerability, even though they might particularly benefit from the immune-promoting effects of a timely vaccination.
Im Freistaat Bayern wird intensiv diskutiert, wie die nach wie vor hohe Freiflächeninanspruchnahme für Siedlungs- und Verkehrszwecke reduziert werden kann. Wissenschaftliche Grundlage für Steuerungsansätze in der Stadt- und Regionalentwicklung sollte ein verbessertes staatliches Flächenmonitoring sein, welches über die amtliche Statistik und deren Hauptindikator "Siedlungs- und Verkehrsfläche" hinaus auch die qualitative Dimension der Flächeninanspruchnahme einbezieht. Dafür stellt dieser Beitrag methodische Erweiterungsansätze für das Flächenmonitoring vor, welche kleinräumige Analysen der Zersiedelung, Freiraumstruktur, Flächenversiegelung und Ökosystemleistungen am Beispiel des Landkreises Rhön-Grabfeld aufzeigen. Diese werden im Kontext der Debatte zu Ursachen und Steuerung der Freiflächeninanspruchnahme sowie zu aktuellen Anforderungen an das Flächenmonitoring diskutiert. Betont wird deren Bedeutung für das Monitoring rechtlicher Vorgaben und politischer Ziele zur nachhaltigen Flächennutzung.