A Vector Space Approach to Generate Dynamic Keys for Hill Cipher
Cryptography and Security
2021-05-12 v4
Abstract
In this paper, a variant of the Hill cipher is proposed. In the classical Hill cipher, an invertible matrix is used for encryption but the scheme is vulnerable to the known-plaintext attack which can reveal the matrix. In our proposed cryptosystem, each plaintext block is encrypted by a new invertible key matrix that thwarts the known-plaintext attack. To generate the invertible matrices which serve as the dynamic keys we make use of the vector spaces, randomly generated basis and non-singular linear transformation. Resulting cipher is secure against the known-plaintext attack.
Keywords
Cite
@article{arxiv.1909.06781,
title = {A Vector Space Approach to Generate Dynamic Keys for Hill Cipher},
author = {Sunil Kumar and Sandeep Kumar and Gaurav Mittal and Shiv Narain},
journal= {arXiv preprint arXiv:1909.06781},
year = {2021}
}