A method for constructing public - key block cipher schemes based on discrete logarithm problem

153 views

Authors

  • Luu Hong Dung (Corresponding Author) Military Technical Academy
  • Nguyen Vinh Thai Academy of Military Science and Technology
  • Nguyen Kim Thanh Military Technical Academy
  • Pham Van Hiep Hanoi University of Industry

DOI:

https://doi.org/10.54939/1859-1043.j.mst.CSCE7.2023.15-26

Keywords:

Symmetric key cryptography; Public key cryptography; Encryption – authentication scheme; Discrete logarithm problem; OTP cipher.

Abstract

The paper proposes a method for constructing block cipher schemes that enables verifying the source and integrity of the encrypted message. Additionally, the shared secret key between the sender/encryptor and the receiver/decryptor for each encrypted message is established based on the mechanism of public key cryptography.

References

[1]. Lưu Hồng Dũng, Nguyễn Ánh Việt. "Một giải pháp xây dựng hệ mật khóa đối xứng". Tạp chí An toàn Thông tin, ISSN 1859 - 1256, Số 5 (057), (2020).

[2]. Lưu Hồng Dũng, Nguyễn Ánh Việt, Đoàn Thị Bích Ngọc. "Thuật toán mã hóa - xác thực thông tin phát triển từ mật mã otp". Journal of Military Science and Technology, CSCE special issue, 87-93, (2020). DOI: https://doi.org/10.54939/1859-1043.j.mst...87-93

[3]. Luu Hong Dung, Tong Minh Duc, Bui The Truyen. "A variant of otp cipher with symmetric key solution". Journal of Science and Technique - Section on Information and Communication Technology (ICT) - No. 16, (2020). DOI: 10.56651/lqdtu.jst.v9.n02.210.ict. DOI: https://doi.org/10.56651/lqdtu.jst.v9.n02.210.ict

[4]. Gilbert Vernam . US Patent 1,310,719. (1919). DOI: https://doi.org/10.1136/bmj.1.3037.310

[5]. National Institute of Standards and Technology, NIST FIPS PUB 186-4. Digital Signature Standard, U.S. Department of Commerce, (2013).

[6]. GOST R 34.10-94. Russian Federation Standard. Information Technology. Cryptographic Data security. "Produce and check procedures of Electronic Digital Signature based on Asymmetric Cryptographic Algorithm". Government Committee of the Russia for Standards, (1994) (in Russian).

[7]. J. KATZ, Y. LINDELL. "Introduction to Modern Cryptography". Chapman & Hall/CRC, (2008). DOI: https://doi.org/10.1201/9781420010756

[8]. Jeffrey Hoffstein, Jill Pipher and Joseph H. Silverman. "An Introduction to Mathematical Cryptography". ISBN 978-0-387-77993-5. Springer - Verlag, (2008).

[9]. L.C. WASHINGTON. "Elliptic Curves. Number Theory and Cryptography". Chapman & Hall/CRC, (2008).

[10]. D.R. STINSON. "Cryptography. Theory and Practice". Chapman & Hall/CRC, (2006). DOI: https://doi.org/10.1201/9781420057133

[11]. R.A. MOLLIN. "An Introduction to Cryptography". Chapman & Hall/CRC, (2006). DOI: https://doi.org/10.1201/9781420011241

[12]. J. Talbot and D. Welsh. "Complexity and Cryptography: An Introduction". Cambridge University Press, (2006). DOI: https://doi.org/10.1017/CBO9780511755286

[13]. J. H. Silverman. "Elliptic curves and cryptography". In Public-Key Cryptography, volume 62 of Proc. Sympos. Appl. Math., pages 91–112. Amer. Math. Soc., Providence, RI, (2005). DOI: https://doi.org/10.1090/psapm/062/2211873

[14]. J. BUCHMANN. "Introduction to Cryptography". Springer–Verlag, (2004). DOI: https://doi.org/10.1007/978-1-4419-9003-7

[15]. W. MAO. "Modern Cryptography. Theory and Practice". Pearson Education, (2004).

[16]. I. SHPARLINSKI. "Cryptographic Applications of Analytic Number Theory. Complexity Lower Bounds and Pseurandomness". Birkhäuser, (2003). DOI: https://doi.org/10.1007/978-3-0348-8037-4

[17]. S.S. WAGSTAFF. "Cryptanalysis of Number Theoretic Ciphers". Chapman & Hall/CRC, (2003).

[18]. I. F. Blake, G. Seroussi, and N. P. Smart. "Elliptic Curves in Cryptography", volume 265 of London Mathematical Society Lecture Note Series. Cambridge University Press, Cambridge, (2000).

[19]. I. BLAKE, G.SEROUSSI & N. SMART. "Elliptic Curves in Cryptography". Cambridge University Press, (2000). DOI: https://doi.org/10.1017/CBO9781107360211

[20]. A. Menezes. "Elliptic Curve Public Key Cryptosystems". The Kluwer International Series in Engineering and Computer Science, 234. Kluwer Academic Publishers, Boston, (1993). DOI: https://doi.org/10.1007/978-1-4615-3198-2

Downloads

Published

30-12-2023

How to Cite

Luu Hong Dung, Nguyen Vinh Thai, Nguyen Kim Thanh, and Pham Van Hiep. “A Method for Constructing Public - Key Block Cipher Schemes Based on Discrete Logarithm Problem”. Journal of Military Science and Technology, no. CSCE7, Dec. 2023, pp. 15-26, doi:10.54939/1859-1043.j.mst.CSCE7.2023.15-26.

Issue

Section

Research Articles

Categories