Ex Parte Jakobsson - Page 4

              Appeal 2006-2107                                                                     
              Application 09/969,833                                                               
                    3. A one-way function is a function f for which one can compute                
              the value y=f(x) given the value x, but for which it is computationally              
              infeasible to compute the value x given y, unless a so-called “trap door” is         
              known, where only particular one-way functions have trap doors.  In the              
              above context, the value x is called the pre-image of y, and the value y is          
              called the image of x, both relative to the function f.  (Specification 1:18-22).    
                    4. The term “one-way function” as used by Appellant is intended                
              to include, by way of example and without limitation, any function for               
              which it is substantially more efficient to compute images from pre-images,          
              than it is to compute pre-images from images, e.g., a function for which             
              inversion is computationally expensive, infeasible or otherwise difficult to         
              achieve.  (Specification 6:11-14).                                                   
                    5. The term “chain” as used by Appellant is intended to be                     
              construed generally so as to include not only linear sequences of values, but        
              also tree or graph structures having multiple branches, each of which may            
              itself correspond to a linear sequence of values.  (Specification 6:15-17).          
                    6. The term “one-way chain” refers to a chain in which at least                
              one pair of values are related to one another via a one-way function.                
              (Specification 6:18-19).                                                             
                    7. A so-called one-way chain is a sequence of values v1 . . . vs such          
              that vi-1=f(vi).  More generally, vi-1=f(g(vi)), where g is a function that maps     
              input of the size of the output of a hash chain or other one-way function h to       
              the size of the input of the function h.  In particular, g could be a truncation     
              of information to the right length, a padding of information to the right            
              length, or other similar mapping function, as is well known to those skilled         
              in the art.  It is also known that if h is a function that accepts input of          
              arbitrary length, as hash functions do, then there is no need to use the             

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