Trapdoor one-way permutations and multivariate polynominals
نویسندگان
چکیده
منابع مشابه
On the Impossibilities of Basing One-Way Permutations on Central Cryptographic Primitives
We know that trapdoor permutations can be used to construct all kinds of basic cryptographic primitives, including trapdoor functions, public-key encryption, private information retrieval, oblivious transfer, key agreement, and those known to be equivalent to one-way functions such as digital signature, private-key encryption, bit commitment, pseudo-random generator and pseudo-random functions....
متن کاملPerfect Structure on the Edge of Chaos - Trapdoor Permutations from Indistinguishability Obfuscation
We construct trapdoor permutations based on (sub-exponential) indistinguishability obfuscation and one-way functions, thereby providing the first candidate that is not based on the hardness of factoring. Our construction shows that even highly structured primitives, such as trapdoor permutations, can be potentially based on hardness assumptions with noisy structures such as those used in candid...
متن کاملOne-Way Trapdoor Permutations Are Sufficient for Non-trivial Single-Server Private Information Retrieval
We show that general one-way trapdoor permutations are sufficient to privately retrieve an entry from a database of size n with total communication complexity strictly less than n. More specifically, we present a protocol in which the user sends O(K) bits and the server sends n− cn K bits (for any constant c), where K is the security parameter of the trapdoor permutations. Thus, for sufficientl...
متن کاملPerfect Structure on the Edge of Chaos
We construct trapdoor permutations based on (sub-exponential) indistinguishability obfuscation and oneway functions, thereby providing the first candidate that is not based on the hardness of factoring. Our construction shows that even highly structured primitives, such as trapdoor permutations, can be potentially based on hardness assumptions with noisy structures such as those used in candida...
متن کاملOne-way Trapdoor Permutations Are Suucient for Non-trivial Single-server Private Information Retrieval
We show that general one-way trapdoor permutations are suucient to privately retrieve an entry from a database of size n with total communication complexity strictly less than n. More speciically, we present a protocol in which the user sends O(K 2) bits and the server sends n ? cn K bits (for any constant c), where K is the security parameter of the trapdoor permutations. Thus, for suuciently ...
متن کامل