English

Perfect Secrecy Using Compressed Sensing

Information Theory 2016-02-02 v1 Cryptography and Security math.IT

Abstract

In this paper we consider the compressed sensing-based encryption and proposed the conditions in which the perfect secrecy is obtained. We prove when the Restricted Isometery Property (RIP) is hold and the number of measurements is more than two times of sparsity level i.e. M \geq 2k, the perfect secrecy condition introduced by Shannon is achievable if message block is not equal to zero or we have infinite block length

Cite

@article{arxiv.1011.3985,
  title  = {Perfect Secrecy Using Compressed Sensing},
  author = {Mahmoud Ramezani Mayiami and Babak Seyfe and Hamid G. Bafghi},
  journal= {arXiv preprint arXiv:1011.3985},
  year   = {2016}
}

Comments

3 pages

R2 v1 2026-06-21T16:45:11.623Z