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

Ivan Jiron (), I. Soto (), Cesar A. Azurdia-Meza (), A. Valencia () and R. Carrasco ()
Additional contact information
Ivan Jiron: Universidad Catolica del Norte
I. Soto: Universidad de Santiago de Chile
Cesar A. Azurdia-Meza: Universidad de Chile
A. Valencia: Universidad de Chile
R. Carrasco: University of Newcastle upon Tyne

Telecommunication Systems: Modelling, Analysis, Design and Management, 2017, vol. 64, issue 2, No 4, 279-291

Abstract: 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 $$GF\left( 2^{p}\right) $$ G F 2 p , and coding via an algebraic geometric code built using a Hermitian curve on a Galois field $$GF\left( 2^{2q}\right) $$ G F 2 2 q , where $$p> 2q$$ p > 2 q . 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 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.

Keywords: AG codes; Bit error rate (BER); DNA cryptosystem; Gaussian channel; Galois fields; Information security; McEliece algorithm (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11235-016-0175-1 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:telsys:v:64:y:2017:i:2:d:10.1007_s11235-016-0175-1

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/11235

DOI: 10.1007/s11235-016-0175-1

Access Statistics for this article

Telecommunication Systems: Modelling, Analysis, Design and Management is currently edited by Muhammad Khan

More articles in Telecommunication Systems: Modelling, Analysis, Design and Management from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().