user114152: I wonder about the random number in R value ...
if i am right , the R value is First part of the script signature which is combined of two parts (r,s)
r = Gk  (elliptic curve scalar multiplication) Or does the whole signature is the Gk ??
So r , is a multiplication of random number ( k ) times G (elliptic curve scalar multiplication )
while
r = xcoordinate(R) , is just the first part of the ( r,s )
I read an article the most repeated R values in transactions is
0x00000000000000000000003b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63
while G is the Double of this point means that the random number is (1/2)
so R value Is simply is simply calculated by multiplying any number by G ???
and they do call it nonce , so is it the same nonce shown in blocks ? that is already public ?
or it is another nonce ?

user48884: The nonce in a signature is different from the nonce used in the block header. These are unrelated to each other. They only share a name because the term nonce is a generic word that means "a number used only once."
A signature is composed of two numbers: R and s. R is the X coordinate of a random nonce k multiplied by the generator point G. It is the result of elliptic curve scalar multiplication with a point. k is a scalar, which means it is just a random integer modulo the n, the order of  G.
The nonce k must be kept private. If it is known, then anyone can compute the private key used in the signature. Additionally, reusing the same k (which results in R being the same) with the same private key will allow the private key to be computed.

114152: <p>I wonder about the random number in R value ...</p>
<p>if i am right , the R value is First part of the script signature which is combined of two parts (r,s)</p>
<p>r = G<em>k  (elliptic curve scalar multiplication) Or does the whole signature is the G</em>k ??
So r , is a multiplication of random number ( k ) times G (elliptic curve scalar multiplication )</p>
<p>while
r = xcoordinate(R) , is just the first part of the ( r,s )</p>
<p>I read an article the most repeated R values in transactions is
0x00000000000000000000003b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63
while G is the Double of this point means that the random number is (1/2)</p>
<p>so R value Is simply is simply calculated by multiplying any number by G ???</p>
<p>and they do call it nonce , so is it the same nonce shown in blocks ? that is already public ?
or it is another nonce ?</p>
 48884: <p>The nonce in a signature is different from the nonce used in the block header. These are unrelated to each other. They only share a name because the term nonce is a generic word that means &quot;a number used only once.&quot;</p>
<p>A signature is composed of two numbers: <code>R</code> and <code>s</code>. <code>R</code> is the X coordinate of a random nonce <code>k</code> multiplied by the generator point <code>G</code>. It is the result of elliptic curve scalar multiplication with a point. <code>k</code> is a scalar, which means it is just a random integer modulo the <code>n</code>, the order of  <code>G</code>.</p>
<p>The nonce <code>k</code> must be kept private. If it is known, then anyone can compute the private key used in the signature. Additionally, reusing the same <code>k</code> (which results in <code>R</code> being the same) with the same private key will allow the private key to be computed.</p>
