Constructing chaos-based hash function via parallel impulse perturbation

Secure hash functions, such as SHA-2 and SHA-3, play an important role in cryptography; however, they are unkeyed and cannot produce the specific hash value with a specified length. First, we constructed a 3D exponent chaotic map (3D-ECM) and analyzed its dynamical characteristics, which has ergodicity and better randomness within a larger parameter range, and can serve as sponge function to absorb message through parallel impulse perturbation to both exponent and state variable. The keyed hash function has a larger key space and can generate 224, 256, 384, 512 or longer hash value via parameter switcher. Theoretical analysis and numerical simulation demonstrated that the algorithm can meet all the performance requirements of a hash function in efficient and flexibility. Its practicable and reliable means high potential to be applied to blockchain or other cryptography area.

Automated summary

The study introduces a new 3D exponent chaotic map and analyzes its dynamic characteristics, showing its potential in hash functions, along with proposing a keyed hash function that can generate hash values of different lengths.