Analysis of Modular Multipliers

Tallaka Yamini*, A. B. Yadav**, K. Neelima***
* PG Scholar, Department of Electronics and Communication Engineering, Sree Vidyanikethan Engineering College, Tirupati, India.
** Associate Professor, Department of Electronics and Communication Engineering, Sree Vidyanikethan Engineering College, Tirupati, India.
*** Assistant Professor, Department of Electronics and Communication Engineering, Sree Vidyanikethan Engineering College, Tirupati, India.
Periodicity:June - August'2016
DOI : https://doi.org/10.26634/jele.6.4.8090

Abstract

This paper proposes a simple and efficient Modular Multiplication algorithm. Montgomery modular multipliers can be implemented accordingly. Based on the Montgomery technique, both SCS and FCS are used by the Carry save format and also the modified SCA. The proposed SCS have used CCSA. To increase the performance of the cryptosystem, the modular multiplication is interleaved by serial and parallel radix-4 modular multipliers and also the same for normal multiplication. By comparing this technique, critical path and clock cycles are reduced. Now these techniques are used in Verilog HDL Virtex-3E using Xilinx ISE 14.5 design suite.

Keywords

Carry-Save Addition, Montgomery Multiplication, Interleaved Multiplication, Public-Key Cryptosystems.

How to Cite this Article?

Yamini,T., Yadav, A.B., and Neelima, K. (2016). Analysis of Modular Multipliers. i-manager's Journal on Electronics Engineering, 6(4), 24-30. https://doi.org/10.26634/jele.6.4.8090

References

[1]. Shiann- Rong Kuang, Kun- Yi Wu, and Ren-Yao Lu, (2015). “Low Cost High Performance VLSI Architecture For Montgomery Modular Multiplication”. IEEE Transactions on Very Large Scale Integration (VLSI) Systems. Vol.24, No.2, pp.434-443.
[2]. Khalid Javeed, Xiaojun Wang and Mike Scott, (2015). “Serial and Parallel Interleaved Modular Multipliers on th FPGA Platform”. 25 International Conference on Field Programmable Logic and Applications (FPL).
[3]. R. L. Rivest, A. Shamir, and L. Adleman, (1978). “A method for obtaining digital signatures and public-key cryptosystems”. Commun. ACM, Vol.21, No.2, pp.120- 126.
[4]. V. S. Miller, (1986). “Use of elliptic curves in cryptography ”. In Advances in Cryptology. Berlin, Germany: Springer-Verlag, pp.417-426.
[5]. N. Koblitz, (1987). “Elliptic curve cryptosystems”. Math. Comput., Vol.48, No.177, pp.203-209.
[6]. P. L. Montgomery, (1985). “Modular multiplication without trial division”. Math. Comput., Vol.44, No.170, pp.519-521.
[7]. Y. S. Kim, W. S. Kang, and J. R. Choi, (2000). “Asynchronous implementation of 1024-bit modular nd processor for RSA cryptosystem”. In Proc. 2 IEEE Asia- Pacific Conf. ASIC, pp.187-190.
[8]. V. Bunimov, M. Schimmler, and B. Tolg, (2002). “A complexity-effective version of Montgomery's algorihm”. In Proc. Workshop Complex Effective Designs.
[9]. H. Zhengbing, R. M. Al Shboul, and V. P. Shirochin, (2007). “An efficient architecture of 1024-bits cryptoprocessor for RSA cryptosystem based on modified th Montgomery's algorithm”. In Proc. 4 IEEE Int. Workshop Intell. Data Acquisition Adv. Comput. Syst., pp.643-646.
[10]. Y.-Y. Zhang, Z. Li, L. Yang, and S.-W. Zhang, (2007). “An efficient CSA architecture for Montgomery modular multiplication”. Microprocessors Microsyst., Vol.31, No.7, pp.456-459.
[11]. C. McIvor, M. McLoone, and J. V. McCanny, (2004). “Modified Montgomery modular multiplication and RSA exponentiation techniques”. IEE Proc.-Comput. Digit. Techn., Vol.151, No.6, pp.402-408.
[12]. S.-R. Kuang, J.-P. Wang, K.-C. Chang, and H.-W. Hsu, (2013). “Energy-efficient high-throughput Montgomery modular multipliers for RSA cryptosystems”. IEEE Trans. Very Large Scale Integr. (VLSI) Syst., Vol.21, No.11, pp.1999- 2009.
[13]. K. Javeed and X. Wang, (2014). “Radix-4 and radix-8 booth encoded interleaved modular multipliers over general Fp”. In Field Programmable Logic and th Applications (FPL), 2014 24 International Conference on, pp.1-6.
[14]. M. Joye and S.-M. Yen, (2003). “The Montgomery powering ladder”. In Cryp-tographic Hardware and Embedded Systems-CHES 2002. Springer, pp.291-302.

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