Exponentiation by squaring
Exponentiation by squaring Exponentiating by squaring is an algorithm used for the fast ... the square-and-multiply algorithm or binary exponentiation. In additive groups the appropriate name is ... general use, for example in modular arithmetic. Squaring algorithm The following recursive algorithm computes ...
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Talk:Exponentiation by squaring
Talk:Exponentiation by squaring I guess we should present the iterative ... here. This isn't exactally exponentiating by squaring, but along the same lines. ---Jay Yes ... be mentioned.) Is this the addition chain exponentiation that Henrygb linked? -- Toby Bartels 19:58 ... number of steps required to perform the exponentiation). In other words, there's a ...
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Exponentiation
Exponentiation In mathematics, exponentiation is a process generalized from repeated (or ... underbrace{a + \cdots + a}} \atop n} exponentiation $\{\{a^n\; =\; \}\; \backslash atop\; \{\backslash \; \}\}\; \{\{\backslash underbrace\{a\; \backslash times\; \backslash cdots\; \backslash times\; a\}\}\; \backslash atop\; n\}$ Exponentiation involves two numbers, the base and the ... number, as explained below. The inverse of exponentiation is the logarithm; exponentiation is sometimes ...
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Modular exponentiation
Modular exponentiation Modular exponentiation is a type of exponentiation performed over a modulus. It is particularly ... in the field of cryptography. Generally, modular exponentiation problems take the form where given base ... c works out to be 8. Modular exponentiation problems similar to the one described ...
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Binary Exponentiation   (translated from German)
Binary Exponentiation Those binary Exponentiation an effective method is for the computation ... itself with the help of that binary Exponentiation some calculation steps to save knows. Instead ... 144 (= 4 · 65.536) Binary modulo Exponentiation When counting modulo a natural number is ... large: One forms the remainder after each squaring. Example 2 18 mod 39 18 ...
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Talk:Addition chain exponentiation
Talk:Addition chain exponentiation Someone should add an example. -- 151.198 ... it's the same thing) at Talk:Exponentiation by squaring. -- Toby Bartels 19:59, 7 Aug 2004 ...
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Fast strengthening   (translated from German)
... for elliptical curves implement, one must those Squaring and the multiplication by the respective equivalent ... time analysis With the simple and slow Exponentiation of $a^c$ multipliziert mens ... each cycle run it comes to one Squaring (whereby first squaring to be neglected can) and possibly a ... O(p) Operations with the simple exponentiation needs. $O$ designates one ...
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User:Mathbot/Logged misspellings (old3)
... varialbe variable Expected value 464 offen often Exponentiation by squaring F

Category:Exponentials
Category:Exponentials These topics are related to exponentiation and the number e. See also: Category ... section of this category. A Addition chain exponentiation B Barometric formula Beer-Lambert law C ... growth Exponential integral Exponential sum Exponential tree Exponentiation Exponentiation by squaring F Fourth power G Gaussian function ...
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Discrete logarithm
... the numbers in this group, called discrete exponentiation, we do so by finding its kth ... � is 5. Once we have discrete exponentiation, discrete logarithm is just the inverse operation ... difficult, while the inverse problem of discrete exponentiation is not (it can be efficiently computed for example using exponentiation by squaring). This asymmetry is exploited in some ...
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