A new DNA cryptosystem based on AG codes evaluated in gaussian channels

Abstract

This paper proposes a new cryptosystem system that combines DNA cryptography and algebraic curves defined over different Galois fields. The security of the proposed cryptosystem is based on the combination of DNA encoding, a compression process using a hyperelliptic curve over a Galois field G F (2 p ), and coding via an algebraic geometric code built using a Hermitian curve on a Galois field G F 2 2q , where p > 2q. The proposed cryptosystem resists the newest attacks found in the literature because there is no linear relationship between the original data and the information encoded with the Hermitian code. Further, the work factor for such attacks increases proportionally to the number of possible choices for the generator matrix of the Hermitian code. Simulations in terms of BER and signal-to-noise ratio (SNR) are included, which evaluate the gain of the transmitted data in an AWGN channel. The performance of the Electronic supplementary material The online version of this article (4 University of Newcastle upon Tyne, Tyne and Wear, UK DNA/AG cryptosystem scheme is compared with un-coded QPSK, and the McEliece code in terms of BER. Further, the proposed DNA/AG system outperforms the security level of the McEliece algorithm.

A New COVID-19 Detection Method Based on CSK/QAM Visible Light Communication and Machine Learning

“…Next, we briefly explain the method used for constructing an extension field GF(p n ), with n ∈ Z and n > 1, using GF(p) as the underlying field, which was the subject of our research [29,30]. First, an irreducible polynomial Q(x) of degree n ∈ Z, n > 1 over GF(p) is selected,…”

“…In relation to this paper, our team has published original models of underground channels [24][25][26][27][28]. Additionally, before the pandemic, we produced papers on DNA [29][30][31] and work on MIMO [32][33][34]. Pathogens will always be around humans, so it is crucial to conduct channel studies that allow us to transfer information under any circumstance in a secure and fast manner.…”