IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v332y2018icp123-135.html
   My bibliography  Save this article

Substitution box generation using Chaos: An image encryption application

Author

Listed:
  • Silva-García, V.M.
  • Flores-Carapia, R.
  • Rentería-Márquez, C.
  • Luna-Benoso, B.
  • Aldape-Pérez, M.

Abstract

There are procedures to encrypt images; however, sometimes there is a loss of information in the decryption process or the key set size is not specifically mentioned. In this research, substitution boxes are built for the Advanced Encryption Standard (AES) cryptosystem using Chaos, and generated by a non-linear differential equation. The boxes’ non-linearity is quantified using the Walsh function. One thousand twenty four boxes are chosen with a non-linearity of 106. To generate a pseudorandom permutation over 256 elements, an algorithm that defines a bijective function is employed. The AES utilized in this article uses 128 bit keys and applies a box in each round; that is, using an array of 10 boxes for each plaintext block of 128 bits. An encryption application for color images is presented. The degree of the encrypted images’ randomness is measured to quantify the cipher quality. Image encryption is performed without information loss. The aim in future is to design a device to encrypt video in a robust manner and in real time without loss of information.

Suggested Citation

  • Silva-García, V.M. & Flores-Carapia, R. & Rentería-Márquez, C. & Luna-Benoso, B. & Aldape-Pérez, M., 2018. "Substitution box generation using Chaos: An image encryption application," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 123-135.
    • Handle: RePEc:eee:apmaco:v:332:y:2018:i:c:p:123-135
    DOI: 10.1016/j.amc.2018.03.019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S009630031830184X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.03.019?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Albert Satorra & Peter Bentler, 2001. "A scaled difference chi-square test statistic for moment structure analysis," Psychometrika, Springer;The Psychometric Society, vol. 66(4), pages 507-514, December.
    2. Coulon-Prieur, Clémentine & Doukhan, Paul, 2000. "A triangular central limit theorem under a new weak dependence condition," Statistics & Probability Letters, Elsevier, vol. 47(1), pages 61-68, March.
    3. Kellie J. Archer & Stanley Lemeshow, 2006. "Goodness-of-fit test for a logistic regression model fitted using survey sample data," Stata Journal, StataCorp LP, vol. 6(1), pages 97-105, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nasir Siddiqui & Fahim Yousaf & Fiza Murtaza & Muhammad Ehatisham-ul-Haq & M Usman Ashraf & Ahmed M Alghamdi & Ahmed S Alfakeeh, 2020. "A highly nonlinear substitution-box (S-box) design using action of modular group on a projective line over a finite field," PLOS ONE, Public Library of Science, vol. 15(11), pages 1-16, November.
    2. Wu, Xin & Shi, Hang & Ji’e, Musha & Duan, Shukai & Wang, Lidan, 2023. "A novel image compression and encryption scheme based on conservative chaotic system and DNA method," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    3. Zhang, Mengjiao & Zang, Hongyan & Bai, Luyuan, 2022. "A new predefined-time sliding mode control scheme for synchronizing chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Laura Vieten & Anne Marit Wöhrmann & Alexandra Michel, 2022. "Work-Time Control and Exhaustion: Internal Work-to-Home Interference and Internal Home-to-Work Interference as Mediators," IJERPH, MDPI, vol. 19(6), pages 1-17, March.
    2. Ruth Hancock & Marcello Morciano & Stephen Pudney & Francesca Zantomio, 2015. "Do household surveys give a coherent view of disability benefit targeting?: a multisurvey latent variable analysis for the older population in Great Britain," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 178(4), pages 815-836, October.
    3. Dara M Wald & Susan K Jacobson, 2014. "A Multivariate Model of Stakeholder Preference for Lethal Cat Management," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-9, April.
    4. Flore Geukens & Annette Spithoven & Margot Bastin & Janne Vanhalst & Marlies Maes, 2022. "Lonely in Different Relationships: Bidirectional Effects between Parent- and Peer-Related Loneliness in Adolescence," IJERPH, MDPI, vol. 19(12), pages 1-10, June.
    5. Peter Tavel & Bibiana Jozefiakova & Peter Telicak & Jana Furstova & Michal Puza & Natalia Kascakova, 2022. "Psychometric Analysis of the Shortened Version of the Spiritual Well-Being Scale on the Slovak Population (SWBS-Sk)," IJERPH, MDPI, vol. 19(1), pages 1-12, January.
    6. Sai-fu Fung & Esther Oi-wah Chow & Chau-kiu Cheung, 2020. "Development and Evaluation of the Psychometric Properties of a Brief Wisdom Development Scale," IJERPH, MDPI, vol. 17(8), pages 1-14, April.
    7. Sohn, Stefanie, 2017. "A contextual perspective on consumers' perceived usefulness: The case of mobile online shopping," Journal of Retailing and Consumer Services, Elsevier, vol. 38(C), pages 22-33.
    8. Janvier Gasana & Boubakari Ibrahimou & Ahmed N. Albatineh & Mustafa Al-Zoughool & Dina Zein, 2021. "Exposures in the Indoor Environment and Prevalence of Allergic Conditions in the United States of America," IJERPH, MDPI, vol. 18(9), pages 1-13, May.
    9. Jose M. Martín-Criado & Jose A. Casas & Rosario Ortega-Ruiz, 2021. "Parental Supervision: Predictive Variables of Positive Involvement in Cyberbullying Prevention," IJERPH, MDPI, vol. 18(4), pages 1-12, February.
    10. Mathilde Sengoelge & Øivind Solberg & Alexander Nissen & Fredrik Saboonchi, 2020. "Exploring Social and Financial Hardship, Mental Health Problems and the Role of Social Support in Asylum Seekers Using Structural Equation Modelling," IJERPH, MDPI, vol. 17(19), pages 1-14, September.
    11. Laura Castro-Schilo & Barbara L. Fredrickson & Dan Mungas, 2019. "Association of Positive Affect with Cognitive Health and Decline for Elder Mexican Americans," Journal of Happiness Studies, Springer, vol. 20(8), pages 2385-2400, December.
    12. Zi Jia Ng & Eugene Scott Huebner & Alberto Maydeu-Olivares & Kimberly Joy Hills, 2018. "Confirmatory Factor Analytic Structure and Measurement Invariance of the Brief Multidimensional Students’ Life Satisfaction Scale (BMSLSS) in a Longitudinal Sample of Adolescents," Child Indicators Research, Springer;The International Society of Child Indicators (ISCI), vol. 11(4), pages 1237-1247, August.
    13. Junjiao Feng & Liang Zhang & Chunhui Chen & Jintao Sheng & Zhifang Ye & Kanyin Feng & Jing Liu & Ying Cai & Bi Zhu & Zhaoxia Yu & Chuansheng Chen & Qi Dong & Gui Xue, 2022. "A cognitive neurogenetic approach to uncovering the structure of executive functions," Nature Communications, Nature, vol. 13(1), pages 1-19, December.
    14. Michael Sheppard, 2020. "The relationship between discretionary slack and growth in small firms," International Entrepreneurship and Management Journal, Springer, vol. 16(1), pages 195-219, March.
    15. Carmen Berné-Manero & Marta Pedraja-Iglesias & Pilar Ramo-Sáez, 2017. "Socially responsible markets involved in the consumer-organization identification process," International Review on Public and Nonprofit Marketing, Springer;International Association of Public and Non-Profit Marketing, vol. 14(2), pages 179-196, June.
    16. Calvo Porral, Cristina & Martínez Fernández, Valentín Alejandro & Juanatey Boga, Oscar, 2016. "Influência da assinatura do fabricante na lealdade e intenção de compra de marcas próprias de varejista," RAE - Revista de Administração de Empresas, FGV-EAESP Escola de Administração de Empresas de São Paulo (Brazil), vol. 56(1), January.
    17. Fosso Wamba, Samuel & Queiroz, Maciel M. & Trinchera, Laura, 2024. "The role of artificial intelligence-enabled dynamic capability on environmental performance: The mediation effect of a data-driven culture in France and the USA," International Journal of Production Economics, Elsevier, vol. 268(C).
    18. Jorge Sinval & M. Joseph Sirgy & Dong-Jin Lee & João Marôco, 2020. "The Quality of Work Life Scale: Validity Evidence from Brazil and Portugal," Applied Research in Quality of Life, Springer;International Society for Quality-of-Life Studies, vol. 15(5), pages 1323-1351, November.
    19. Lee, Seunghwan & Kim, Yukyoum & Heere, Bob, 2018. "Sport team emotion: Conceptualization, scale development and validation," Sport Management Review, Elsevier, vol. 21(4), pages 363-376.
    20. Richard Fabling & Steven Stillman & David C. Maré, 2011. "Immigration and Innovation," Working Papers 11_05, Motu Economic and Public Policy Research.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:332:y:2018:i:c:p:123-135. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.