Feebly secure cryptographic primitives

Feebly Secure Cryptographic Primitives *

In 1992, A. Hiltgen [9] provided first constructions of provably (slightly) secure cryptographic primitives, namely feebly one-way functions. These functions are provably harder to invert than to compute, but the complexity (viewed as the circuit complexity over circuits with arbitrary binary gates) is amplified only by a constant factor (in Hiltgen’s works, the factor approaches 2). In traditi...

Secure and Efficient Implementations of Cryptographic Primitives

Public-Key Cryptographic Primitives Provably as Secure as Subset Sum

We propose a semantically-secure public-key encryption scheme whose security is polynomialtime equivalent to the hardness of solving random instances of the subset sum problem. The subset sum assumption required for the security of our scheme is weaker than that of existing subset-sum based encryption schemes, namely the lattice-based schemes of Ajtai and Dwork (STOC ’97), Regev (STOC ’03, STOC...

Cryptographic Primitives

A symmetric or private-key cipher is one in which knowledge of the encryption key is explicitly or implicitly equivalent to knowing the decryption key. An asymmetric or public-key cipher is one in which the encryption key is effectively public knowledge, without giving any useful information about the decryption key. Until 30 years ago all ciphers were private-key. The very possibility of publi...

A Feebly Secure Trapdoor Function

In 1992, A. Hiltgen [1] provided the first constructions of provably (slightly) secure cryptographic primitives, namely feebly one-way functions. These functions are provably harder to invert than to compute, but the complexity (viewed as circuit complexity over circuits with arbitrary binary gates) is amplified by a constant factor only (with the factor approaching 2). In traditional cryptogra...