Skip to main content

Quadratic Poly Certificateless Inductive Signcryption for Network Security


Signcryption ensures encryption and signature with minimum computational costs and overheads than compared to that of traditional signature model. Besides, Certificateless Signcryption resolves issues related to key escrow and reduces public key management for Wireless Sensor Network (WSN) setting. There has been some Certificateless Signcryption mechanisms proposed, most of which are proved secured using bilinear pairing operations. However, with pairing being computationally hard to understand and with involvement of heavy group operation minimizes the advantages gained from smaller key size. To address this issue, a scheme called, Quadratic Poly Certificateless Inductive Signcryption (QPCIS) for network security in WSN is presented without using bilinear pairing. The QPCIS scheme inherits the security of quadratic polynomial that possesses lower computation complexity than bilinear pairing. In QPCIS scheme, only designated receiver node recovers the data packet via base station by verifying validity of signcrypted data packet using Inductive Probability theorem. Experimental works are conducted on parameters like computational time, computational overhead, data security and data integrity rate. By evaluating the performance with related schemes, results show that the proposed QPCIS scheme is secure and computationally efficient.

This is a preview of subscription content, access via your institution.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6


  1. Yin A, Liang H (2014) Certificateless hybrid signcryption scheme for secure communication of wireless sensor networks. Wirel Pers Commun, Springer.

  2. Li F, Han Y, Jin C (2016) Practical signcryption for secure communication of wireless sensor networks. Wirel Pers Commun 89(4):1391–1412

  3. Jin C, Chen G, Yu C, Shan J, Zhao J, Jin Y (2018) An efficient heterogeneous signcryption for smart grid. PLoS One.

  4. Li F, Han Y, Jin C (2018) Cost-Effective and Anonymous Access Control for Wireless Body Area Networks. IEEE Syst J 12(1)747–758

  5. Li F, Shirase M, Takagi T (2013) Certificateless hybrid signcryption. Math Comput Model 57(3-4):324–343

  6. Zhou C, Gao G, Cui Z (2017) Certificateless signcryption in the standard model. Wirel Pers Commun 92(2):495–513

  7. Luo M, Wan Y (2018) An enhanced certificateless signcryption in the standard model. Wirel Pers Commun 98:2693–2709.

  8. Li L, Zhou S, Choo K-KR, Li X, He D (2018) An efficient and provably-secure certificateless proxy-signcryption scheme for electronic prescription system. Secur Commun Netw.

  9. Eslami Z, Pakniat N (2014) Certificateless aggregate signcryption: security model and a concrete construction secure in the random oracle model. Journal of King Saud University – Computer and Information Sciences 26(3).

  10. Sharma G, Bala S, Verma AK (2015) Pairing-Free Certificateless Ring Signcryption (PF-CLRSC) scheme for wireless sensor networks. Wirel Pers Commun.

  11. Yu H, Yang B (2017) Pairing-free and secure Certificateless Signcryption scheme. The Computer Journal 60(8): 1187–1196

  12. Zia M, Ali R (2018) Cryptanalysis and improvement of an elliptic curve based signcryption scheme for firewalls. PLoS One.

  13. Gao Y, Dong X, Tian Y (2015) A new Signcryption scheme without certificate and linear pairing. Association for Computing Machinery ACM.

  14. Zhang B, Jia Z, Zhao C (2018) An efficient Certificateless generalized Signcryption scheme. Security and Communication Networks.

  15. Li J, Zhao J, Zhang Y (2014) Certificateless online/offline signcryption scheme. Secur Commun Netw.

  16. Kamil IA, Ogundoyin SO (2018) An improved certificateless aggregate signature scheme without bilinear pairings for vehicular ad hoc networks. Journal of Information Security and Applications 44:184–200.

  17. Yu H-f, Yang B (2017) Low-computation certificateless hybrid signcryption scheme. Front Inform Technol Electron Eng 18(7):928–940

  18. Omala AA, Ali I, Li F (2018) Heterogeneous signcryption with keyword search for wireless body area network.

  19. Niu S, Niu L, Yang X, Wang C, Jia X (2017) Heterogeneous hybrid signcryption for multi message and multi receiver. PLoS One.

  20. Masmoudi R, Djebbar AB, Dayoub I (2017) Low complexity joint blind equalization and CFO estimation for MC-CDMA system. Wirel Pers Commun 92(2):315–331

Download references

Author information

Authors and Affiliations


Corresponding author

Correspondence to A. Sumithra.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Sumithra, A. Quadratic Poly Certificateless Inductive Signcryption for Network Security. Mobile Netw Appl 26, 1586–1596 (2021).

Download citation

  • Published:

  • Issue Date:

  • DOI:


  • Certificateless signcryption
  • Wireless sensor network
  • Quadratic polynomial
  • Bilinear pairing
  • Inductive probability