The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.
The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.
Patent No.:
Date of Patent:
Dec. 19, 2023
Filed:
Aug. 03, 2021
Nxp B.v., Eindhoven, NL;
Joost Roland Renes, Eindhoven, NL;
Joppe Willem Bos, Wijgmaal, BE;
Christine van Vredendaal, Veldhoven, NL;
Tobias Schneider, Graz, AT;
NXP B.V., Eindhoven, NL;
Abstract
Various embodiments relate to a method for multiplying a first and a second polynomial in a ring[X]/(X+1) where q is a positive integer. The method comprising: mapping the first polynomial into k smaller third polynomials over k smaller rings based upon primitive roots of unity, where k is a positive integer; mapping the second polynomial into k smaller fourth polynomials over the k smaller rings based upon primitive roots of unity; applying an isomorphism to the k third polynomials resulting in k fifth polynomials; applying the isomorphism to the k fourth polynomials resulting in k sixth polynomials; applying a Kronecker substitution on the k fifth polynomials and the k sixth polynomials and perform the multiplication of the k fifth polynomials and the k sixth polynomials to produce a multiplication result; applying an inverse of the isomorphism to the multiplication result to obtain the multiplication of the first polynomial and the second polynomial; and mapping the k inverted polynomials to a single polynomial in the ring.