Advances in Computer Science and Information Technology. Computer Science and Engineering. Second International Conference, CCSIT 2012, Bangalore, India, January 2-4, 2012. Proceedings, Part II

Research Article

Radix-4 Modified Interleaved Modular Multiplier Based on Sign Detection

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  • @INPROCEEDINGS{10.1007/978-3-642-27308-7_45,
        author={Mohamed Nassar and Layla El-Sayed},
        title={Radix-4 Modified Interleaved Modular Multiplier Based on Sign Detection},
        proceedings={Advances in Computer Science and Information Technology. Computer Science and Engineering. Second International Conference, CCSIT 2012, Bangalore, India, January 2-4, 2012. Proceedings, Part II},
        proceedings_a={CCSIT PATR II},
        year={2012},
        month={11},
        keywords={efficient architecture carry-save adder sign detection sign estimation technique modular multiplication FPGA RSA},
        doi={10.1007/978-3-642-27308-7_45}
    }
    
  • Mohamed Nassar
    Layla El-Sayed
    Year: 2012
    Radix-4 Modified Interleaved Modular Multiplier Based on Sign Detection
    CCSIT PATR II
    Springer
    DOI: 10.1007/978-3-642-27308-7_45
Mohamed Nassar1,*, Layla El-Sayed1,*
  • 1: Alexandria University
*Contact email: eng.mohamedatif@gmail.com, labohadid@yahoo.com

Abstract

Data Security is the most important issue nowadays. A lot of cryptosystems are introduced to provide security. Public key cryptosystems are most common cryptosystems used for securing data communication. Modular multiplication is the basic operation of a lot of public key cryptosystems such as RSA, Diffie-Hellman key agreement (DH), ElGamal, and ECC. Abd-el-fatah et al. introduced an enhanced architecture for computing modular multiplication of two large numbers X and Y modulo given M. In this paper, a modification on that architecture is introduced. The proposed design computes modular multiplication by scanning two bits per iteration instead of one bit. The proposed design for 1024-bit precision reduced overall time by 38% compared to the design of Abd-el-fatah et al.