@incollection{,
	
					
					
					95B46A9DFDFCDDF006916F6D6A66C94C
				,
	author={{R.Ambika} and {S.Ramachandran} and {K. R.Kashwan} and {BMS Institute of Technology}},
	journal={{Global Journal of Researches in Engineering}},
	journal={{GJRE}}2249-45960975-586110.34257/gjre,
	address={Cambridge, United States},
	publisher={Global Journals Organisation}13154758
}

@incollection{b0,
	
	
		,
	title={{An RNS to binary converter in 2n+1, 2n, 2n-1 moduli set}}
		,
	author={{
			BPremkumar
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	publisher={John Wiley & Sons}
		
	

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@incollection{b3,
	
	
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	author={{
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	journal={{Math. Computation}}
		
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@incollection{b4,
	
	
		,
	title={{Hardware Implementation of Montgomery's Multiplication Algorithm}}
		,
	author={{
			SEEldridge
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	journal={{IEEE Trans. Comput}}
		
			42
			
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	title={{Towards an FPGA Architecture Optimized for Public-Key Algorithms'; the SPIE Symposium on Voice, Video and Communications}}
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	author={{
			AJElbirt
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			CPaar
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			,
	year={Sept. 1999}
		
	

}

@incollection{b6,
	
	
		,
	title={{Montgomery Exponentiation on Re-configurable Hardware}}
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	author={{
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			CPaar
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	booktitle={{Proc. 14th Symposium on Computer Arithmetic}}
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	year={1999}
			
		
	

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	author={{
			YSKim
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@book{b8,
	
	
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	title={{A Complexity-Effective Version of Montgomery's Algorithm'. Presented at the Workshop on Complexity Effective Designs (WECD02)}}
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	year={May 2002}
		
	

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@incollection{b9,
	
	
		,
	title={{Modular Multiplication and Exponentiation Architectures for Fast RSA Cryptosystem Based on Digit Serial Computation}}
		,
	author={{
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@incollection{b10,
	
	
		,
	title={{Cellular-Array Modular Multiplier for Fast RSA Public-Key Cryptosystem Based on Modified Booth's Algorithm}}
		,
	author={{
			Jin-HuaHong
		} and {
			Cheng-WenWu
		}}
		
	
	
		,
	journal={{IEEE TRANSACTIONS ON VERY LARGE SCALE INTEGRATION SYSTEMS}}
		
			11
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			,
	year={JUNE 2003}
		
	

}

@incollection{b11,
	
	
		,
	title={{Modified Montgomery modular multiplication and RSA exponentiation techniques}}
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	author={{
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	journal={{IEE Proceedings online}}
		
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	year={20040791}
		
	

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@incollection{b12,
	
	
		,
	title={{A Scalable Architecture for Modular Multiplication Based on Montgomery's Algorithm}}
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	author={{
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	year={SEPTEMBER 2003}
		
	

}

@incollection{b13,
	
	
		,
	title={{A Hardware Algorithm for Modular Multiplication/ Division}}
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	author={{
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	year={JANUARY 2005}
		
	

}

@book{b14,
	
	
		,
	title={{Analyzing and comparing Montgomery multiplication algorithms}}
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			CKKoç
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			TolgaAcar
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		}}
		
		
		
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	year={Jun 1996}
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			3
			,
	address={Micro, IEEE Publication}
		
	

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@incollection{b15,
	
	
		,
	title={{A New RSA Cryptosystem Hardware Design Based on Montgomery's Algorithm}}
		,
	author={{
			Ching-ChaoYang
		} and {
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		}}
		
		
	
	
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			,
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@incollection{b16,
	
	
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	title={{A Parallel Implementation of Montgomery Multiplication on Multicore Systems: Algorithm, Analysis, and Prototype}}
		,
	author={{
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	journal={{IEEE TRANSACTIONS ON COM-PUTERS}}
		
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			,
	year={DECEMBER 2011}
		
	

}

@incollection{b17,
	
	
		,
	title={{Montgomery Modular Multiplication on Reconfigurable Hardware: Systolic versus Multiplexed Implementation}}
		,
	author={{
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			JoãobaptistaMesquita
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			Martins
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		,
	journal={{International Journal of Reconfigurable Computing}}
		
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			,
	year={2011}
		
	

}

@incollection{b18,
	
	
		,
	title={{A new RSA encryption architecture and hardware implementation based on optimized Montgomery multiplication}}
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	author={{
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	booktitle={{Proc. IEEE ISCAS}}
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			,
	year={May 23-26, 2005}
			
		
	

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@incollection{b19,
	
	
		,
	title={{Modular Multiplication without Trial Division}}
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	author={{
			PLMontgomery
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		,
	journal={{Math. of Computation}}
		
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			170
			
			,
	year={Apr., 1985}
		
	

}

@incollection{b20,
	
	
		,
	title={{Montgomery in Practice: How to Do It More Efficiently in Hardware}}
		,
	author={{
			LBatina
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	booktitle={{Proc. Cryptographer's Track at the RSA Conf., Topics in Cryptology (CT-RSA '02)}}
				Cryptographer's Track at the RSA Conf., Topics in Cryptology (CT-RSA '02)
		
			,
	year={Feb. 2002}
			
		
	

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@incollection{b21,
	
	
		,
	title={{Precise Bounds for Montgomery ModularMultiplication and Some Potentially Insecure RSA Moduli}}
		,
	author={{
			DWalter
		}}
	
	
		,
	booktitle={{Proc. Cryptographer's Track at the RSA Conf. Topics in Cryptology (CT-RSA '02)}}
				Cryptographer's Track at the RSA Conf. Topics in Cryptology (CT-RSA '02)
		
			,
	year={Feb. 2002}
			
		
	

}

@incollection{b22,
	
	
		,
	title={{FPGA implementation of RSA cryptoalgorithm using shift and carry algorithm}}
		,
	author={{
			NSPerovic
		} and {
			MPopovic-Bozovic
		}}
		
	
	
		,
	booktitle={{th Telecommunications Forum (TELFOR)}}
				Page
		
			,
	year={2012 on 20-22 Nov. 2012}
			20
			
		
	

}