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A Simplified Architecture for Modulo (2n + 1) Multiplication
March 1998 (vol. 47 no. 3)
pp. 333-337
ASCII Text
x 
 
Yutai Ma, "A Simplified Architecture for Modulo (2n + 1) Multiplication," IEEE Transactions on Computers, vol. 47, no. 3, pp. 333-337, March, 1998.
 
 
BibTex
x
 
@article{ 10.1109/12.660169,
author = {Yutai Ma},
title = {A Simplified Architecture for Modulo (2n + 1) Multiplication},
journal ={IEEE Transactions on Computers},
volume = {47},
number = {3},
issn = {0018-9340},
year = {1998},
pages = {333-337},
doi = {http://doi.ieeecomputersociety.org/10.1109/12.660169},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - A Simplified Architecture for Modulo (2n + 1) Multiplication
IS - 3
SN - 0018-9340
SP333
EP337
EPD - 333-337
A1 - Yutai Ma,
PY - 1998
KW - Convolution
KW - Fermat number transform
KW - RNS arithmetic
KW - modulo (2n + 1) multiplication
KW - Booth's algorithm
KW - Wallace tree
KW - carry save adder
KW - CSA array
KW - carry lookahead adder.
VL - 47
JA - IEEE Transactions on Computers
ER -
 

Abstract—The modulo (2n + 1) multiplication is widely used in the computation of convolutions and in RNS arithmetic and, thus, it is important to reduce the calculation delay. This paper presents a concept of a modulo (2n + 1) carry save adder (MCSA) and uses two MCSAs to perform the residue reduction. We also apply Booth's algorithm to the modulo (2n + 1) multiplication scheme in order to reduce the number of partial products. With these techniques, the new architecture reduces the multiplier's calculation delay and is suitable for VLSI implementation for moderate and large n (n≥ 16).

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Index Terms:
Convolution, Fermat number transform, RNS arithmetic, modulo (2n + 1) multiplication, Booth's algorithm, Wallace tree, carry save adder, CSA array, carry lookahead adder.
Citation:
Yutai Ma, "A Simplified Architecture for Modulo (2n + 1) Multiplication," IEEE Transactions on Computers, vol. 47, no. 3, pp. 333-337, March 1998, doi:10.1109/12.660169
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