<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, we proposed different comparable reconfigurable hardware implementations for the radix-8 fast two operands multiplier coprocessor using Karatsuba method and Booth recording method by employing carry save (CSA) and kogge stone adders (KSA) on Wallace tree organization. The proposed designs utilized ALTERA Cyclone IV FPGA family with target chip device EP4CGX–22CF19C7 along with simulation package. Also, the proposed designs were synthesized and benchmarked in terms of the maximum operational frequency, the total path delay, the total design area and the total thermal power dissipation. The experimental results revealed that the best multiplication architecture was belonging to Wallace Tree CSA based Radix-8 Booth multiplier (WCBM) which recorded: critical path delay of 14.103 ns, maximum operational frequency of 90.83 MHz, hardware design area (number of logic elements) of 14249 LEs, and total thermal power dissipation estimated as 217.56 mW. Consequently, WCBM method can be efficiently employed to enhance the speed of computation for many multiplication based applications such embedded system designs for public key cryptography.</p>
</abstract>

In this paper, we proposed different comparable reconfigurable hardware implementations for the radix-8 fast two operands multiplier coprocessor using Karatsuba method and Booth recording method by employing carry save (CSA) and kogge stone adders (KSA) on Wallace tree organization. The proposed designs utilized ALTERA Cyclone IV FPGA family with target chip device EP4CGX–22CF19C7 along with simulation package. Also, the proposed designs were synthesized and benchmarked in terms of the maximum operational frequency, the total path delay, the total design area and the total thermal power dissipation. The experimental results revealed that the best multiplication architecture was belonging to Wallace Tree CSA based Radix-8 Booth multiplier (WCBM) which recorded: critical path delay of 14.103 ns, maximum operational frequency of 90.83 MHz, hardware design area (number of logic elements) of 14249 LEs, and total thermal power dissipation estimated as 217.56 mW. Consequently, WCBM method can be efficiently employed to enhance the speed of computation for many multiplication based applications such embedded system designs for public key cryptography.

Radix-8 Design Alternatives of Fast Two Operands Interleaved Multiplication with Enhanced Architecture

International Journal of Advanced Network, Monitoring and Controls

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

With FPGA implementation & synthesize of 64-bit Wallace Tree CSA based Radix-8 Booth Multiplier

In this paper, we proposed different comparable reconfigurable hardware implementations for the radix-8 fast two operands multiplier coprocessor using...

Radix-8 Design Alternatives of Fast Two Operands Interleaved Multiplication with Enhanced Architecture

Published Online: Oct 08, 2019

Page range: 15 - 27

DOI: https://doi.org/10.21307/ijanmc-2019-043

Keywords
Cryptography, Computer Arithmetic, FPGA Design, Hardware Synthesis, Kogge-Stone Adder (KSA), Radix-8 Booth Recording, Karatsuba Multiplier, Wallace Tree

© 2019 Mohammad M. Asad et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Radix-8 Design Alternatives of Fast Two Operands Interleaved Multiplication with Enhanced Architecture

Published Online: Oct 08, 2019

Page range: 15 - 27

DOI: https://doi.org/10.21307/ijanmc-2019-043

KeywordsCryptography, Computer Arithmetic, FPGA Design, Hardware Synthesis, Kogge-Stone Adder (KSA), Radix-8 Booth Recording, Karatsuba Multiplier, Wallace Tree

© 2019 Mohammad M. Asad et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Cryptography, Computer Arithmetic, FPGA Design, Hardware Synthesis, Kogge-Stone Adder (KSA), Radix-8 Booth Recording, Karatsuba Multiplier, Wallace Tree