Secure DNA data compression using algebraic curves

Soto, Ismael; Jirón, Iván; Valencia, A.; Carrasco, R.A.

doi:10.1049/el.2015.1226

Cited by 3 publications

(6 citation statements)

References 11 publications

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“…It is assumed that the key ( G, Z, t) of the receiver is public, also F pr and E pr were negotiated in advance, or can be modified after the the private key (S, G, P) is computed [33].…”

Section: System Descriptionmentioning

confidence: 99%

“…code it would be 24 bits, but by using Table 1 it is reduced to 18 bits [33]. Assume that the carrier S c has δ 1 = 5 * 5 = 25 bits, 18 bits of which are data d, i.e.…”

Section: System Descriptionmentioning

confidence: 99%

“…Then, in the case of a sentence, such as "FOR ME", the carrier would have 50 bits, and 36 of them are data d 1 and d 2 , respectively, including blank (α 2 α α), given in Table 1. Whereas the remaining 14 bits are F 1 pr , E 1 pr , F 2 pr and E 2 pr , then F 1 pr &E 1 pr &d 1 &F 2 pr &E 2 pr &d 2 , and so on for longer word sequences [33].…”

Section: System Descriptionmentioning

confidence: 99%

“…In [33] we presented preliminary results of this DNA/AG methodology in fading channels, but without proof or further justification of the results. In that system, the attack reported in [11] fails because the data that enters the decoder is protected by the keys F pr and E pr , compressed by the hyperelliptic curve and the mapping.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2016

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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.

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“…It is assumed that the key ( G, Z, t) of the receiver is public, also F pr and E pr were negotiated in advance, or can be modified after the the private key (S, G, P) is computed [33].…”

Section: System Descriptionmentioning

confidence: 99%

“…code it would be 24 bits, but by using Table 1 it is reduced to 18 bits [33]. Assume that the carrier S c has δ 1 = 5 * 5 = 25 bits, 18 bits of which are data d, i.e.…”

Section: System Descriptionmentioning

confidence: 99%

Section: System Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2016

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“…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.…”

Section: Introductionmentioning

confidence: 99%

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

Soto

Zamorano-Illanes

Becerra

et al. 2023

Sensors

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This article proposes a novel method for detecting coronavirus disease 2019 (COVID-19) in an underground channel using visible light communication (VLC) and machine learning (ML). We present mathematical models of COVID-19 Deoxyribose Nucleic Acid (DNA) gene transfer in regular square constellations using a CSK/QAM-based VLC system. ML algorithms are used to classify the bands present in each electrophoresis sample according to whether the band corresponds to a positive, negative, or ladder sample during the search for the optimal model. Complexity studies reveal that the square constellation N=22i×22i,(i=3) yields a greater profit. Performance studies indicate that, for BER = 10−3, there are gains of −10 [dB], −3 [dB], 3 [dB], and 5 [dB] for N=22i×22i,(i=0,1,2,3), respectively. Based on a total of 630 COVID-19 samples, the best model is shown to be XGBoots, which demonstrated an accuracy of 96.03%, greater than that of the other models, and a recall of 99% for positive values.

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