This monograph illustrates important notions in security reductions
and essential techniques in security reductions for group-based
cryptosystems. Using digital signatures and encryption as examples,
the authors explain how to program correct security reductions for
those cryptographic primitives. Various schemes are selected and
re-proven in this book to demonstrate and exemplify correct
security reductions. This book is suitable for researchers and
graduate students engaged with public-key cryptography.
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