Nciper Corporation Limited

George Robert Blakely

Oscar R Mitchell

Kyle Stein

Rajat Datta

A data encryption method performed with ring arithmetic operations wherein a modulus C is be chosen of the form 2&#x2212;L, wherein C is a w-bit number and L is a low Hamming weight odd integer less than 2. And in some of those embodiments, the residue mod C is calculated via several steps. P is split into 2 w-bit words Hand L. Sis calculated as equal to L+(H2)+(H2)+ . . . +(H2)+H. Sis split into two w-bit words Hand L. Sis computed as being equal to L+(H2)+(H2)+ . . . +(H2)+H. Sis computed as being equal to S+(2+ . . . +2+1). And the residue is determined by comparing Sto 2. If S&#x3c;2, then the residue equals S. If S&#x2267;2, then the residue equals S&#x2212;2.

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Bryan, TX, United States of America

George Robert Blakely