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Edited ch08_signatures.adoc with Atlas code editor
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@ -302,17 +302,17 @@ Provable security::
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computers).
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computers).
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Linearity::
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Linearity::
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Schnorr signatures have a property that mathematicians call
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Schnorr signatures have a property that mathematicians ((("linearity")))call
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_linearity_, which applies to functions with two particular
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_linearity_, which applies to functions with two particular
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properties. The first property is that summing together two or more
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properties. The first property is that summing together two or more
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variables and then running a function on that sum will produce the
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variables and then running a function on that sum will produce the
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same value as running the function on each of the variables
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same value as running the function on each of the variables
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independently and then summing together the results, e.g.,
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independently and then summing together the results, e.g.,
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+f(x + y + z) == f(x) + f(y) + f(z)+; this property is called
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+f(x + y + z) == f(x) + f(y) + f(z)+; this property is((("additivity"))) called
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_additivity_. The second property is that multiplying a variable and
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_additivity_. The second property is that multiplying a variable and
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then running a function on that product will produce the same value as
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then running a function on that product will produce the same value as
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running the function on the variable and then multiplying it by the
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running the function on the variable and then multiplying it by the
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same amount, e.g., +f(a * x) == a * f(x)+; this property is called
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same amount, e.g., +f(a * x) == a * f(x)+; this property is ((("homogeneity of degree 1")))called
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_homogeneity of degree 1_.
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_homogeneity of degree 1_.
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+
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+
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In cryptographic operations, some functions may be private (such
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In cryptographic operations, some functions may be private (such
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