Low-area dual basis divider over GF(2m)

Leilei Song; Keshab K Parhi

Low-area dual basis divider over GF(2m)

Leilei Song
, Keshab K Parhi

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

This paper presents a low-area finite field divider using dual basis representation. This divider is based on the division algorithm of solving Discrete Wiener-Hopf Equation using Gauss-Jordan elimination method. The hardware complexity of the matrix generation part has been reduced dramatically form O(m²) to O(m). When it is used as a building block for a large system, this divider can achieve more savings in hardware by utilizing sub-structure sharing techniques.

Original language	English (US)
Pages (from-to)	627-630
Number of pages	4
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	1
State	Published - Jan 1 1997

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title = "Low-area dual basis divider over GF(2m)",

abstract = "This paper presents a low-area finite field divider using dual basis representation. This divider is based on the division algorithm of solving Discrete Wiener-Hopf Equation using Gauss-Jordan elimination method. The hardware complexity of the matrix generation part has been reduced dramatically form O(m2) to O(m). When it is used as a building block for a large system, this divider can achieve more savings in hardware by utilizing sub-structure sharing techniques.",

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AB - This paper presents a low-area finite field divider using dual basis representation. This divider is based on the division algorithm of solving Discrete Wiener-Hopf Equation using Gauss-Jordan elimination method. The hardware complexity of the matrix generation part has been reduced dramatically form O(m2) to O(m). When it is used as a building block for a large system, this divider can achieve more savings in hardware by utilizing sub-structure sharing techniques.

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Low-area dual basis divider over GF(2m)

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