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 4Page: Previous 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Next
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