Reduced complexity modular polynomial multiplication for R-LWE cryptosystems

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United States of America Patent

PATENT NO 11750366
APP PUB NO 20230163944A1
SERIAL NO

17531208

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Abstract

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A method includes receiving a first polynomial and a second polynomial, both of order n−1 and forming d polynomial segments from both the first polynomial and the second polynomial such that each polynomial segment is of order (n/d)−1. The polynomial segments of the first polynomial and the d polynomial segments of the second polynomial are used to form segment products. Each segment product is divided into a first polynomial substructure of order n/d and a second polynomial substructure of order (n/d)−1. A first polynomial substructure containing the first n/d coefficients of a product of the first polynomial and the second polynomial is summed with a second polynomial substructure to form a sum substructure. The sum substructure is used multiple times to determine coefficients of a polynomial representing the modulo xn+1 of the product of the first polynomial and the second polynomial.

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Patent Owner(s)

  • REGENTS OF THE UNIVERSITY OF MINNESOTA; OHIO STATE INNOVATION FOUNDATION

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Inventor(s)

Inventor Name Address # of filed Patents Total Citations
Parhi, Keshab K Minneapolis, US 45 533
Zhang, Xinmiao Columbus, US 25 225

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