Abstract
Modular multiplication of long integers is an important
building block for cryptographic algorithms. Although
several FPGA accelerators have been proposed for large modular
multiplication, previous systems have been based on O(N2)
algorithms. In this paper, we present a Montgomery multiplier
that incorporates the more efficient Karatsuba algorithm which is
O(N(log 3= log 2)). This system is parameterizable to different bitwidths
and makes excellent use of both embedded multipliers and
fine-grained logic. The design has ....etc

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i need verilog matrix multiplication code of n*n matrix.please send me at [email protected] ....etc

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Low power and high speed multiplication design through mixed number representation


Apeksha Reddy, VI Sem, SDMCET, Dharwad
Ashroo M Das, VI Sem, SDMCET, Dharwad



Contents

INTRODUCTION
THE ALGORITHM AND ITS VLSI ARCHITECTURE
CONVERSION FROM TWO S COMPLEMENT TO SM NOTATION
RADIX-4 BOOTH S ALGORITHM
SPEEDING UP THE PP ACCUMULATION
CONVERTING THE RB NUMBER INTO TWO S COMPLEMENT NUMBER
CONCLUSION
REFRENCES
ACKNOWLEDGEMENT

What is a multiplication ?
How is multiplication done?
With what speed is ....etc

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Many cryptography arithmetic operations employ the method of modular multiplication. The underlying binary adders in modular multipliers is targeted in this development. The carry-save adder, carry-lookahead adder and carry-skip adder have been studied and compared. They showed interesting features and trade-offs.improved crypto designs are promised by the beneficial details that the design shows.

MODULAR MULTIPLICATION
Modular multiplication is defined as the computation of P=A B mod M, which are represented using n bits. v ....etc

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can i plz get the vhdl code for 8 bit multiplier using nikhilam sutra.. ....etc

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module MM42(A1,A2,B1,B2,N,S1,S2,clk);
input clk;
input A1,A2,B1,B2,N;
output S1,S2;
reg a1,a2,b1,b2,n,bd1,bd2,d1,d2,w,y;
reg s1,s2,s11,s21,s12,s22;
reg q,A,Ai1,Ai2,qi1,qi2,mbrfa_ctemp,bypass;
reg temp1,temp2;
integer i=0;
initial
begin
assign q=1'h0;
assign A=1'h0;
assign s1=7'h0;
assign s2=7'h0;
assign bd1=(B1<<1)^(B2<<1);
assign bd2=(B1<<1)&(B2<<1);
assign d1=bd1^bd2^n;
assign d2=bd1&bd2&n;
assign mbrfa_ctemp=1'h0;
assign bypass=1'h0;
assign qi1=1'h0;
assign qi2=1'h0;
assign s11=7'h0;
assign s21=7'h0;
assign s12=7'h0;
assi ....etc

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hi.
I want to write a code for minuseultiplication and add and minuse two 2*2 matrix by VHDL.
please help me. ....etc

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To get full information or details of Elliptic Curve selection, point addition and scalar multiplication please have a look on the pages

http://seminarsprojects.net/Thread-elliptic-curve-selection-point-addition-and-scalar-multiplication-in-java-matlab

if you again feel trouble on Elliptic Curve selection, point addition and scalar multiplication please reply in that page and ask specific fields in Elliptic Curve selection, point addition and scalar multiplication ....etc

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.

Montgomery Multiplication

Duncan A. Buell

abstract
Montgomery Multiplication Peter Montgomery has devised a way to speed up arithmetic in a context in which a single modulus is used for a long-running computation . This method has also been explored as a hardware operation . The basic idea goes back to a standard trick that has been used for arithmetic modulo Mersenne numbers.

Let Mn = 2n
1 be the n-th Mersenne number. Assume that we are doing
arithmetic modulo Mn. The c ....etc

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the manual explanation of multiplication acceleration through twin precision ....etc

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