High-Radix Design of a Scalable Modular Multiplier
Citations
242 citations
Cites background from "High-Radix Design of a Scalable Mod..."
...High-radix designs for our scalable architecture were reported in [21], [22]....
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120 citations
Cites background from "High-Radix Design of a Scalable Mod..."
...They were also first to prove that this type of attack is also practical....
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120 citations
Additional excerpts
...Efficient implementation of Montgomery modular multiplication (MMM) in hardware was considered by many authors [7, 13, 33, 22, 17, 24, 34, 27, 14, 25, 28]....
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100 citations
Cites methods from "High-Radix Design of a Scalable Mod..."
...In [6], a highradix word-based Montgomery algorithm (MWR2MM) was proposed using Booth encoding technique....
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...Several follow-up designs based on the MWR2MM algorithm have been proposed in order to reduce the computation time [6], [7], [8], [9], [10], [11]....
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...using Booth recoding as discussed in [6]....
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78 citations
Cites methods from "High-Radix Design of a Scalable Mod..."
...The fast hardware implementation of public-key cryptosystems has been extensively researched thus far; in particular, a circuit architecture using Montgomery multiplication [1] has often been proposed [2,3,4,5,6,7,8,9,10,11,12,13,14,15,16] [17,18,19]....
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References
14,980 citations
"High-Radix Design of a Scalable Mod..." refers methods in this paper
...1 Introduction Several applications, such as RSA algorithm, [14] Diffie-Hellman key exchange algorithm [5], Digital Signature Standard [12], and Elliptic curve cryptography [6,9] use modular multiplication and modular exponentiation....
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14,659 citations
5,378 citations
"High-Radix Design of a Scalable Mod..." refers methods in this paper
...1 Introduction Several applications, such as RSA algorithm, [14] Diffie-Hellman key exchange algorithm [5], Digital Signature Standard [12], and Elliptic curve cryptography [6,9] use modular multiplication and modular exponentiation....
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2,647 citations
"High-Radix Design of a Scalable Mod..." refers background in this paper
...The Montgomery Multiplication (MM) algorithm [10] provides certain advantages in the implementation of modular multiplication....
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1,286 citations
"High-Radix Design of a Scalable Mod..." refers methods in this paper
...Each loop iteration (computational loop) scans k-bits of X (a radix-r digit Xi) and determines the value qY , according to Booth encoding [3]....
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