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Physical attacks on pairing-based cryptography / Peter Günther ; Supervisor: Prof. Dr. rer. nat. Johannes Blömer. Paderborn, 2016
Content
Introduction
The story of Alice and Bob
Modern cryptography: from fuzzy to fussy
The real world: getting physical
Pairing-based cryptography
Thesis statement and contribution
Publications related to this thesis
Organization of this thesis
Mathematical background
Basic definitions and notation
Elliptic curves
Pairings
Pairing-based cryptography
Pairing groups
Algorithms and implementations
Pairing-based schemes
Side-channel attacks on pairings
Introduction
Analysis of the Tate pairing in affine coordinates
Analysis of the Ate pairing in affine coordinates
Analysis of pairings in projective coordinates
Framework for the analysis of fault attacks on pairings
Introduction
Description of the framework
Background information on each step of the framework
Application of the framework to previous attacks
New fault attacks on pairings
Introduction
Attack on the Eta pairing
Attack on the Ate pairing over BN curves
Singular curve point decompression fault attacks
Introduction
Attacks for curves with j-invariant 0
Attack for general curves
Concrete applications of our attacks
Countermeasures
Practical realization of our fault attacks
Introduction
Experimental setup
General strategy for second order fault attacks
Target device and implementation
Second-order faults on the pairing computation
Singular curve attack on BLS signatures
Conclusion and future work
Conclusion
Future work
Numerical examples
Singular curve attack for j-invariant 0
Singular curve attack for general j-invariant
Acronyms
Notation
Bibliography
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