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Edited ch08_signatures.adoc with Atlas code editor

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clenser 2023-10-19 12:58:02 +00:00
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@ -302,17 +302,17 @@ Provable security::
computers).
Linearity::
Schnorr signatures have a property that mathematicians call
Schnorr signatures have a property that mathematicians ((("linearity")))call
_linearity_, which applies to functions with two particular
properties. The first property is that summing together two or more
variables and then running a function on that sum will produce the
same value as running the function on each of the variables
independently and then summing together the results, e.g.,
+f(x + y + z) == f(x) + f(y) + f(z)+; this property is called
+f(x + y + z) == f(x) + f(y) + f(z)+; this property is((("additivity"))) called
_additivity_. The second property is that multiplying a variable and
then running a function on that product will produce the same value as
running the function on the variable and then multiplying it by the
same amount, e.g., +f(a * x) == a * f(x)+; this property is called
same amount, e.g., +f(a * x) == a * f(x)+; this property is ((("homogeneity of degree 1")))called
_homogeneity of degree 1_.
+
In cryptographic operations, some functions may be private (such