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Investigation of the Statistical Properties of the CTR Mode of the Block Cipher Based on MPF

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Information and Software Technologies (ICIST 2023)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1979))

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Abstract

In this paper, we investigate the statistical properties of the CTR mode of a previously presented block cipher based on the matrix power function. Relying on the obtained results we propose an improvement of our original idea to achieve a better mixing of bits. We demonstrate that the modified version of our cipher satisfies both the avalanche effect and the bit independence criterion. To evaluate the quality of the obtained results we compare them to the statistical properties of widely used AES-128 and TDES CTR modes of encryption. Additionally, we present the preliminary analysis of collisions for the CTR mode of our cipher.

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Acknowledgement

This research was funded by the Research Council of Lithuania, activity “Students research during the summer”, reg. nr. P-SV-22-86, “The security analysis of the block cipher operating in CTR mode”.

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Authors and Affiliations

  1. Faculty of Mathematics and Natural Sciences, Kaunas University of Technology, 51368, Kaunas, Lithuania

    Matas Levinskas, Aleksejus Mihalkovich, Lina Dindiene & Eligijus Sakalauskas

Authors
  1. Matas Levinskas
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  2. Aleksejus Mihalkovich
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  3. Lina Dindiene
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  4. Eligijus Sakalauskas
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Corresponding author

Correspondence to Aleksejus Mihalkovich .

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Editors and Affiliations

  1. Kaunas University of Technology, Kaunas, Lithuania

    Audrius Lopata

  2. Kaunas University of Technology, Kaunas, Lithuania

    Daina Gudonienė

  3. Kaunas University of Technology, Kaunas, Lithuania

    Rita Butkienė

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Levinskas, M., Mihalkovich, A., Dindiene, L., Sakalauskas, E. (2024). Investigation of the Statistical Properties of the CTR Mode of the Block Cipher Based on MPF. In: Lopata, A., Gudonienė, D., Butkienė, R. (eds) Information and Software Technologies. ICIST 2023. Communications in Computer and Information Science, vol 1979. Springer, Cham. https://doi.org/10.1007/978-3-031-48981-5_2

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  • DOI: https://doi.org/10.1007/978-3-031-48981-5_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-48980-8

  • Online ISBN: 978-3-031-48981-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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