Skip to main content
SpringerLink
Log in

Secure Cryptographic Module Implementation and Mathematics

  • Conference paper
  • First Online:
The Impact of Applications on Mathematics

Part of the book series: Mathematics for Industry ((MFI,volume 1))

Abstract

Cryptographic Engineering is defined by the discipline of using cryptography to solve human problems (from the Wikipedia [1]). Main focus of the cryptographic engineering is to implement the cryptographic primitives based on mathematics to the real world device as the manner of software or hardware. Therefore, to study the cryptographic engineering field, mathematics backgrounds are needed as well as the computer engineering and computer science. In this article, we briefly review the trend of the cryptographic engineering field for the last decade. After that, side-channel attack for the crypto modules are introduced and several efforts are explained for preventing the side-channel attack in the area of the cryptographic engineering.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Definition of cryptographic engineering by Wikipedia. Available online at http://en.wikipedia.org/wiki/Cryptographic_engineering

  2. Kocher, P., Jaffe, J., Jun, B.: Differential power analysis. In: Proceedings of CRYPTO 1999, LNCS 1666, pp. 388–397 (1999)

    Google Scholar 

  3. Kocher, P.: Timing attacks on implementations of Diffe-Hellman, RSA, DSS and other systems. In: Proceedings of CRYPTO 1996, LNCS 1109, pp. 104–113 (1996)

    Google Scholar 

  4. Rivest, R., Shamir, A., Adleman, L.: A method for obtaining digital signatures and public-key cryptosystems. Commun. ACM 21(2), 120–126 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  5. Koblitz, N.: Elliptic curve cryptosystems. Math. Comput. 48(177), 203–209 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  6. Bernstein, D.: Cache-timing attacks on AES. Retrieved 10 Nov 2011. Available online at http://cr.yp.to/antiforgery/cachetiming-20050414.pdf (2011)

  7. Brumley, D., Boneh, D.: Remote timing attacks are practical. In: Proceedings of the 12th conference on USENIX Security Symposium, pp. 1–14 (2003)

    Google Scholar 

  8. Brier, E., Clavier, C., Olivier, F.: Correlation power analysis with a leakage model. In: Proceedings of CHES 2014, LNCS 3156, pp. 135–152 (2004)

    Google Scholar 

  9. Gandolfi, K, Mourtel, C., Oliveier, F.: Electromagnetic analysis: concrete results. In: Proceedings of CHES 2001, LNCS 2162, pp. 255–265 (2001)

    Google Scholar 

  10. Biham, E., Shamir, A.: Differential fault analysis of secret key cryptosystems. In: Proceedings of CRYPTO 1997, LNCS 1294, pp. 513–525 (1997)

    Google Scholar 

  11. Mangard, S., Oswald, E., Popp, T.: Power analysis attacks: revealing the secrets of smart cards, Springer (2007)

    Google Scholar 

  12. SCARF project. Available online at http://www.k-scarf.or.kr

  13. SASEBO and SAKURA project. Available online at http://www.morita-tech.co.jp/SAKURA/en/index.html

  14. National Security Research Institute: The ARIA Specification. http://210.104.33.10/ARIA/index-e.html

  15. Kwon, D., Kim, J., Park, S., Sung, S., Sohn, Y., Song, J., Yeom, Y., Yoon, E., Lee, S., Lee, J., Chee, S., Han, D., Hong, J.: New block cipher: ARIA. In: Proceedings of ICISC 2003, LNCS 2971, pp. 432–445 (2003)

    Google Scholar 

  16. Kang, J., Choi, D., Choi, Y., Han, D.-G.: Secure hardware implementation of ARIA based on adaptive random masking technique. ETRI J. 34(2), 76–86 (2012)

    Article  Google Scholar 

  17. Koera Internet & Security Agency: Block Cipher Algorithm SEED. http://seed.kisa.or.kr/eng/about/about.jsp

  18. Kim, H., Cho, Y., Choi, D., Han, D.-G., Hong, S.: Efficient masked implementation for SEED based on combined masking. ETRI J. 33(2), 267–274 (2011)

    Article  Google Scholar 

  19. Chow, S., Eisen, P., Johnson, H., Oorschot, P.C.V.: White-box cryptography and an AES implementation. In: Proceedings of SAC 2002, LNCS 2595, pp. 250–270 (2003)

    Google Scholar 

  20. Billet, O., Gilbert, H., Ech-Chatbi, C.: Cryptanalysis of a white box AES implementation. In: Proceedings of SAC 2004, LNCS 3357, pp. 227–240 (2004)

    Google Scholar 

  21. Michiels, W., Gorissen, P., Hollmann, H.D.: Cryptanalysis of a generic class of white-box implementations. In: Proceedings of SAC 2009, LNCS 5867, pp. 414–428 (2009)

    Google Scholar 

  22. Tolhuizen, L.: Improved cryptanalysis of an AES implementation. In: Proceedings of the 33rd WIC Symposium on Information Theory, (2012)

    Google Scholar 

  23. Bringer, J., Chabanne, H., Dottax, E.: White box cryptography: another attempt. In: IACR Cryptology ePrint Archive, Report 2006/468, https://eprint.iacr.org/2006/468.pdf

  24. Mulder, Y.D., Roelse, P., Preneel, B.: Cryptanalysis of the Xiao-Lai white-box AES implementation. In: Proceedings of SAC 2004, LNCS 3357, pp. 34–49 (2004)

    Google Scholar 

  25. Mulder, Y.D., Wyseur, B., Preneel, B.: Cryptanalysis of a perturbated white-box AES implementation. In: Proceedings of INDOCRYPT 2010, LNCS 6498, pp. 292–310 (2010)

    Google Scholar 

  26. Lepoint, T., Rivain, M., Mulder, Y.D., Roelse, P., Preneel, B.: Two attacks on a white-box AES implementation. In: Proceedings of the workshop on selected areas in cryptography (2013)

    Google Scholar 

Download references

Acknowledgments

This work was supported by the KLA-SCARF project, the ICT R&D program of ETRI (Research on Key Leakage Analysis and Response Technologies).

Author information

Authors and Affiliations

  1. Cyber Security Research Laboratory at ETRI, University of Science and Technology(UST), Daejeon, South Korea

    Dooho Choi

  2. Cyber Security Research Laboratory at ETRI, Daejeon, South Korea

    Yongjae Choi, Yousung Kang & Seungkwang Lee

Authors
  1. Dooho Choi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yongjae Choi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yousung Kang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Seungkwang Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Dooho Choi .

Editor information

Editors and Affiliations

  1. Institute for Mathematics and Industry, Kyushu University, Fukuoka, Japan

    Masato Wakayama

  2. CSIRO (Commonwealth Scientific and Industrial Research Organisation), Canberra, Aust Capital Terr, Australia

    Robert S. Anderssen

  3. School of Mathematical Sciences, Fudan University, Shanghai, China

    Jin Cheng

  4. Kyushu University, Fukuoka, Japan

    Yasuhide Fukumoto

  5. Institute of Natural and Mathematical Sciences, Massey University, Palmerston North, Auckland, New Zealand

    Robert McKibbin

  6. Institute of Mathematics, Free University of Berlin, Berlin, Germany

    Konrad Polthier

  7. Kyushu University, Fukuoka, Japan

    Tsuyoshi Takagi

  8. Department of Mathematics, National University of Singapore, Singapore, Singapur, Singapore

    Kim-Chuan Toh

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Japan

About this paper

Cite this paper

Choi, D., Choi, Y., Kang, Y., Lee, S. (2014). Secure Cryptographic Module Implementation and Mathematics. In: Wakayama, M., et al. The Impact of Applications on Mathematics. Mathematics for Industry, vol 1. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54907-9_7

Download citation

  • DOI: https://doi.org/10.1007/978-4-431-54907-9_7

  • Published:

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-54906-2

  • Online ISBN: 978-4-431-54907-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation