Efficient Scalable Digit-Serial Inverter Over GF( $2^{m}$ ) for Ultra-Low Power Devices

This paper proposes a novel scalable digit-serial inverter structure with low space complexity to perform inversion operation in GF(2<sup>m</sup>) based on a previously modified extended Euclidean algorithm. This structure is suitable for fixed size processor that only reuse the core and...

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Main Authors: Atef Ibrahim, Turki F. Al-Somani, Fayez Gebali
Format: Article
Language:English
Published: IEEE 2016-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/7782358/
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spelling doaj-bcb39b794aec4ecdad1cb84a90e1670d2021-03-29T19:48:46ZengIEEEIEEE Access2169-35362016-01-0149758976310.1109/ACCESS.2016.26390397782358Efficient Scalable Digit-Serial Inverter Over GF( $2^{m}$ ) for Ultra-Low Power DevicesAtef Ibrahim0https://orcid.org/0000-0002-1115-4051Turki F. Al-Somani1Fayez Gebali2Department of Computer Engineering, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi ArabiaDepartment of Computer Engineering, Umm Al-Qura University, Mecca, Saudi ArabiaDepartment of Electrical and Computer Engineering, University of Victoria, Victoria, BC, CanadaThis paper proposes a novel scalable digit-serial inverter structure with low space complexity to perform inversion operation in GF(2<sup>m</sup>) based on a previously modified extended Euclidean algorithm. This structure is suitable for fixed size processor that only reuse the core and does not require to modulate the core size when m modified. This structure is extracted by applying a nonlinear methodology that gives the designer more flexibility to control the processing element workload and also reduces the overhead of communication between processing elements. Implementation results of the proposed scalable design and previously reported efficient designs show that the proposed scalable structure achieves a significant reduction in the area ranging from 83.0% to 88.3% and also achieves a significant saving in energy ranging from 75.0% to 85.0% over them, but it has lower throughput compared to them. This makes the proposed design more suitable for constrained implementations of cryptographic primitives in ultra-low power devices such as wireless sensor nodes and radio frequency identification (RFID) devices.https://ieeexplore.ieee.org/document/7782358/Scalable systolic arrayshardware securityfinite field inversionultra-low power devicesASIC
collection DOAJ
language English
format Article
sources DOAJ
author Atef Ibrahim
Turki F. Al-Somani
Fayez Gebali
spellingShingle Atef Ibrahim
Turki F. Al-Somani
Fayez Gebali
Efficient Scalable Digit-Serial Inverter Over GF( $2^{m}$ ) for Ultra-Low Power Devices
IEEE Access
Scalable systolic arrays
hardware security
finite field inversion
ultra-low power devices
ASIC
author_facet Atef Ibrahim
Turki F. Al-Somani
Fayez Gebali
author_sort Atef Ibrahim
title Efficient Scalable Digit-Serial Inverter Over GF( $2^{m}$ ) for Ultra-Low Power Devices
title_short Efficient Scalable Digit-Serial Inverter Over GF( $2^{m}$ ) for Ultra-Low Power Devices
title_full Efficient Scalable Digit-Serial Inverter Over GF( $2^{m}$ ) for Ultra-Low Power Devices
title_fullStr Efficient Scalable Digit-Serial Inverter Over GF( $2^{m}$ ) for Ultra-Low Power Devices
title_full_unstemmed Efficient Scalable Digit-Serial Inverter Over GF( $2^{m}$ ) for Ultra-Low Power Devices
title_sort efficient scalable digit-serial inverter over gf( $2^{m}$ ) for ultra-low power devices
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2016-01-01
description This paper proposes a novel scalable digit-serial inverter structure with low space complexity to perform inversion operation in GF(2<sup>m</sup>) based on a previously modified extended Euclidean algorithm. This structure is suitable for fixed size processor that only reuse the core and does not require to modulate the core size when m modified. This structure is extracted by applying a nonlinear methodology that gives the designer more flexibility to control the processing element workload and also reduces the overhead of communication between processing elements. Implementation results of the proposed scalable design and previously reported efficient designs show that the proposed scalable structure achieves a significant reduction in the area ranging from 83.0% to 88.3% and also achieves a significant saving in energy ranging from 75.0% to 85.0% over them, but it has lower throughput compared to them. This makes the proposed design more suitable for constrained implementations of cryptographic primitives in ultra-low power devices such as wireless sensor nodes and radio frequency identification (RFID) devices.
topic Scalable systolic arrays
hardware security
finite field inversion
ultra-low power devices
ASIC
url https://ieeexplore.ieee.org/document/7782358/
work_keys_str_mv AT atefibrahim efficientscalabledigitserialinverterovergf2mforultralowpowerdevices
AT turkifalsomani efficientscalabledigitserialinverterovergf2mforultralowpowerdevices
AT fayezgebali efficientscalabledigitserialinverterovergf2mforultralowpowerdevices
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