Skip to main content

Linear Cryptanalysis of Reduced-Round SIMECK Variants

  • Conference paper
  • First Online:
Progress in Cryptology -- INDOCRYPT 2015 (INDOCRYPT 2015)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 9462))

Included in the following conference series:

Abstract

SIMECK is a family of 3 lightweight block ciphers designed by Yang et al. They follow the framework used by Beaulieu et al. from the United States National Security Agency (NSA) to design SIMON and SPECK. A cipher in this family with K-bit key and N-bit block is called SIMECKN / K. We show that the security of this block cipher against linear cryptanalysis is not as good as its predecessors SIMON. More precisely, while the best known linear attack for SIMON32/64, using Algorithm 1 of Matsui, covers 13 rounds we present a linear attack in this senario which covers 14 rounds of SIMECK32/64. Similarly, using Algorithm 1 of Matsui, we present attacks on 19 and 22 rounds of SIMECK48/96 and SIMECK64/128 respectively, compare them with known attacks on 16 and 19 rounds SIMON48/96 and SIMON64/128 respectively. In addition, we use Algorithm 2 of Matsui to attack 18, 23 and 27 rounds of SIMECK32/64, SIMECK48/96 and SIMECK64/128 respectively, compare them with known attacks on 18, 19 and 21 rounds SIMON32/64, SIMON48/96 and SIMON64/128 respectively.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Similar content being viewed by others

References

  1. Abdelraheem, M.A., Alizadeh, J., AlKhzaimi, H., Aref, M.R., Bagheri, N., Gauravaram, P., Lauridsen, M.M.: Improved linear cryptanalysis of round reduced SIMON. IACR Cryptology ePrint Archive 2014/681 (2014)

    Google Scholar 

  2. Abed, F., List, E., Lucks, S., Wenzel, J.: Differential Cryptanalysis of Reduced-Round Simon. Cryptology ePrint Archive, Report 2013/526 (2013). http://eprint.iacr.org/

  3. Abed, F., List, E., Lucks, S., Wenzel, J.: Differential cryptanalysis of round-reduced Simon and Speck. In: Cid, C., Rechberger, C. (eds.) FSE 2014. LNCS, vol. 8540, pp. 525–545. Springer, Heidelberg (2015)

    Google Scholar 

  4. Alizadeh, J., Alkhzaimi, H.A., Aref, M.R., Bagheri, N., Gauravaram, P., Kumar, A., Lauridsen, M.M., Sanadhya, S.K.: Cryptanalysis of SIMON variants with connections. In: Sadeghi, A.-R., Saxena, N. (eds.) RFIDSec 2014. LNCS, vol. 8651, pp. 90–107. Springer, Heidelberg (2014)

    Google Scholar 

  5. Alizadeh, J., Bagheri, N., Gauravaram, P., Kumar, A., Sanadhya, S.K.: Linear Cryptanalysis of Round Reduced SIMON. Cryptology ePrint Archive, Report 2013/663 (2013). http://eprint.iacr.org/

  6. AlKhzaimi, H., Lauridsen, M.M.: Cryptanalysis of the SIMON Family of Block Ciphers. IACR Cryptology ePrint Archive 2013/543 (2013)

    Google Scholar 

  7. Ashur, T.: Improved linear trails for the block cipher simon. IACR Cryptology ePrint Archive 2015/285 (2015)

    Google Scholar 

  8. Beaulieu, R., Shors, D., Smith, J., Treatman-Clark, S., Weeks, B., Wingers, L.: The SIMON and SPECK Families of Lightweight Block Ciphers. Cryptology ePrint Archive, Report 2013/404, 2013. http://eprint.iacr.org/2013/404

  9. Biryukov, A., Roy, A., Velichkov, V.: Differential analysis of block ciphers SIMON and SPECK. In: Cid, C., Rechberger, C. (eds.) FSE 2014. LNCS, vol. 8540, pp. 546–570. Springer, Heidelberg (2015)

    Google Scholar 

  10. Boura, C., Naya-Plasencia, M., Suder, V.: Scrutinizing and improving impossible differential attacks: applications to CLEFIA, Camellia, LBlock and Simon. In: Sarkar, P., Iwata, T. (eds.) ASIACRYPT 2014. LNCS, vol. 8873, pp. 179–199. Springer, Heidelberg (2014)

    Google Scholar 

  11. Chen, H., Wang, X.: Improved Linear Hull Attack on Round-Reduced Simon with Dynamic Key-guessing Techniques (2015)

    Google Scholar 

  12. Chen, Z., Wang, N., Wang, X.: Impossible differential cryptanalysis of reduced round SIMON. IACR Cryptology ePrint Archive 2015/286 (2015)

    Google Scholar 

  13. Cho, J.Y., Hermelin, M., Nyberg, K.: A new technique for multidimensional linear cryptanalysis with applications on reduced round serpent. In: Lee, P.J., Cheon, J.H. (eds.) ICISC 2008. LNCS, vol. 5461, pp. 383–398. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  14. Courtois, N., Mourouzis, T., Song, G., Sepehrdad, P., Susil, P.: Combined algebraic and truncated differential cryptanalysis on reduced-round simon. In: Obaidat, M.S., Holzinger, A., Samarati, P. (eds.) SECRYPT 2014, pp. 399–404. SciTePress (2014)

    Google Scholar 

  15. Dinur, I.: Improved differential cryptanalysis of round-reduced Speck. In: Joux, A., Youssef, A. (eds.) SAC 2014. LNCS, vol. 8781, pp. 147–164. Springer, Heidelberg (2014)

    Google Scholar 

  16. Nakahara, Jr., J., Preneel, B., Vandewalle, J.: Linear cryptanalysis of reduced-round versions of the SAFER block cipher family. In: Goos, G., Hartmanis, J., van Leeuwen, J., Schneier, B. (eds.) FSE 2000. LNCS, vol. 1978, p. 244–261. Springer, Heidelberg (2001)

    Google Scholar 

  17. Matsui, M.: Linear cryptanalysis method for DES cipher. In: Helleseth, T. (ed.) EUROCRYPT 1993. LNCS, vol. 765, pp. 386–397. Springer, Heidelberg (1994)

    Chapter  Google Scholar 

  18. Nyberg, K.: Linear approximation of block ciphers. In: De Santis, A. (ed.) EUROCRYPT 1994. LNCS, vol. 950, pp. 439–444. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  19. Selçuk, A.A.: On probability of success in linear and differential cryptanalysis. J. Cryptology 21(1), 131–147 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  20. Shi, D., Hu, L., Sun, S., Song, L., Qiao, K., Ma, X.: Improved Linear (hull) Cryptanalysis of Round-reduced Versions of SIMON. IACR Cryptology ePrint Archive 2014/973 (2014)

    Google Scholar 

  21. Sun, S., Hu, L., Wang, M., Wang, P., Qiao, K., Ma, X., Shi, D., Song, L., Fu, K.: Towards Finding the Best Characteristics of Some Bit-oriented Block Ciphers and Automatic Enumeration of (Related-key) Differential and Linear Characteristics with Predefined Properties. IACR Cryptology ePrint Archive 2014/747 (2014)

    Google Scholar 

  22. Sun, S., Hu, L., Wang, P., Qiao, K., Ma, X., Song, L.: Automatic security evaluation and (related-key) differential characteristic search: application to SIMON, PRESENT, LBlock, DES(L) and other bit-oriented block ciphers. In: Sarkar, P., Iwata, T. (eds.) ASIACRYPT 2014. LNCS, vol. 8873, pp. 158–178. Springer, Heidelberg (2014)

    Google Scholar 

  23. Tardy-Corfdir, A., Gilbert, H.: A known plaintext attack of FEAL-4 and FEAL-6. In: Feigenbaum, J. (ed.) CRYPTO 1991. LNCS, vol. 576, pp. 172–182. Springer, Heidelberg (1992)

    Google Scholar 

  24. Wang, N., Wang, X., Jia, K., Zhao, J.: Improved Differential Attacks on Reduced SIMON Versions. IACR Cryptology ePrint Archive 2014/448 (2014)

    Google Scholar 

  25. Wang, Q., Liu, Z., Varici, K., Sasaki, Y., Rijmen, V., Todo, Y.: Cryptanalysis of reduced-round SIMON32 and SIMON48. In: Proceedings of Progress in Cryptology - INDOCRYPT 2014–15th International Conference on Cryptology in India, New Delhi, India, 14–17 December 2014, pp. 143–160 (2014)

    Google Scholar 

  26. Yang, G., Zhu, B., Suder, V., Aagaard, M.D., Gong, G.: The Simeck family of lightweight block ciphers. In: Güneysu, T., Handschuh, H. (eds.) CHES 2015. LNCS, vol. 9293, pp. 307–329. Springer, Heidelberg (2015)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nasour Bagheri .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Bagheri, N. (2015). Linear Cryptanalysis of Reduced-Round SIMECK Variants. In: Biryukov, A., Goyal, V. (eds) Progress in Cryptology -- INDOCRYPT 2015. INDOCRYPT 2015. Lecture Notes in Computer Science(), vol 9462. Springer, Cham. https://doi.org/10.1007/978-3-319-26617-6_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-26617-6_8

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26616-9

  • Online ISBN: 978-3-319-26617-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics