Trapdoor Permutations are mathematical functions that are easy to compute in one direction but difficult to reverse without a secret piece of information. This secret information, known as the “trapdoor,” makes the inverse computation trivial. These functions are a cornerstone of public-key cryptography, allowing a public key to perform an operation that only the corresponding private key can efficiently undo. RSA is a prominent example of a cryptosystem built upon a trapdoor permutation.
Context
Trapdoor Permutations are fundamental to the security of many cryptographic protocols, including those used in digital signatures and secure communication within blockchain. The advent of quantum computing poses a significant threat to the underlying mathematical problems on which current trapdoor permutations rely. Future developments are focused on discovering and validating new trapdoor functions that are resistant to quantum algorithms.
New one-shot signature construction leverages indistinguishability obfuscation, resolving a decade-old cryptographic commitment problem and bolstering post-quantum security.
We use cookies to personalize content and marketing, and to analyze our traffic. This helps us maintain the quality of our free resources. manage your preferences below.
Detailed Cookie Preferences
This helps support our free resources through personalized marketing efforts and promotions.
Analytics cookies help us understand how visitors interact with our website, improving user experience and website performance.
Personalization cookies enable us to customize the content and features of our site based on your interactions, offering a more tailored experience.