发明名称 CUBIC ROOT OF A GALOIS FIELD ELEMENT
摘要 A method includes receiving a first element of a Galois Field of order qm, where q is a prime number and m is a positive integer. The first element is raised to a predetermined power so as to form a second element z, wherein the predetermined power is a function of qm and an integer p, where p is a prime number which divides qm−1. The second element z is raised to a pth power to form a third element. If the third element equals the first element, the second element multiplied by a pth root of unity raised to a respective power selected from a set of integers between 0 and p−1 is output as at least one root of the first element.
申请公布号 US2016147504(A1) 申请公布日期 2016.05.26
申请号 US201414551110 申请日期 2014.11.24
申请人 APPLE INC. 发明人 Anholt Micha;Teitel Moti
分类号 G06F7/552;G06F7/72 主分类号 G06F7/552
代理机构 代理人
主权项 1. A method, comprising: receiving, by at least one processor of a circuit, a first element of a Galois Field of order qm, where q is a prime number and m is a positive integer; raising, by the at least one processor, the first element to a predetermined power so as to form a second element z, wherein the predetermined power is a function of qm and an integer p, where p is a prime number which divides qm−1; raising, by the at least one processor, z to a pth power to form a third element; and when the third element equals the first element, outputting, by the at least one processor, as at least one root of the first element the second element multiplied by a pth root of unity raised to a respective power selected from a set of integers between 0 and p−1.
地址 Cupertino CA US