Efficient Methods in Converting to Modulo 2^n+1 and 2^n-1

I
ITNG
2006
Third International Conference on Information Technology: New Generations (ITNG'06)
Abstract - Efficient Methods in Converting to Modulo 2^n+1 and 2^n-1

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Third International Conference on Information Technology: New Generations (ITNG'06)

Las Vegas, Nevada

April 10-April 12

ISBN: 0-7695-2497-4

	ASCII Text	x
	Kooroush Manochehri, Saadat Pourmozafari, Babak Sadeghian, "Efficient Methods in Converting to Modulo 2^n+1 and 2^n-1," Information Technology: New Generations, Third International Conference on, pp. 178-185, Third International Conference on Information Technology: New Generations (ITNG'06), 2006.

	BibTex	x
	@article{ 10.1109/ITNG.2006.60, author = {Kooroush Manochehri and Saadat Pourmozafari and Babak Sadeghian}, title = {Efficient Methods in Converting to Modulo 2^n+1 and 2^n-1}, journal ={Information Technology: New Generations, Third International Conference on}, volume = {0}, year = {2006}, isbn = {0-7695-2497-4}, pages = {178-185}, doi = {http://doi.ieeecomputersociety.org/10.1109/ITNG.2006.60}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Information Technology: New Generations, Third International Conference on TI - Efficient Methods in Converting to Modulo 2^n+1 and 2^n-1 SN - 0-7695-2497-4 SP178 EP185 A1 - Kooroush Manochehri, A1 - Saadat Pourmozafari, A1 - Babak Sadeghian, PY - 2006 KW - Modular multiplication KW - Diminished-1 KW - RNS KW - CSA KW - Wallace tree VL - 0 JA - Information Technology: New Generations, Third International Conference on ER -

Kooroush Manochehri, Amirkabir University of Technology, Iran

Saadat Pourmozafari, Amirkabir University of Technology, Iran

Babak Sadeghian, Amirkabir University of Technology, Iran

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ITNG.2006.60

Modulo 2^n+1 and 2^n-1 multiplication plays an important role in residue number systems. In this paper two efficient methods for converting the input number to these moduli are presented. One of them has less area than the other but the second one has more processing speed. The diminished-1 representation of numbers are most suitable for multiplication in 2^n+1 thus for this modulus the input number is converting to that representation.

Index Terms:

Modular multiplication, Diminished-1, RNS, CSA, Wallace tree

Citation:

Kooroush Manochehri, Saadat Pourmozafari, Babak Sadeghian, "Efficient Methods in Converting to Modulo 2^n+1 and 2^n-1," itng, pp.178-185, Third International Conference on Information Technology: New Generations (ITNG'06), 2006

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