Questions on cryptography and cryptanalysis, encryption and decryption, and the making and breaking of codes and ciphers.

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Discrete Logarithm

If $p$ is a prime and $a,b$ are integers not divisible by $p$ such that $a^x \equiv b \pmod p$ with $0 ≤ x < o_p(a)$, then we define $x = L_a(b)$ and say $x$ is the discrete logarithm of $b$ ...
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Expectation of characters in a string

What is the expected distance between two ’e’s in a random character stream where ’e’s occur 11% of the time?
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Calculate an encoding matrix from inputs and outputs

I have a list of inputs and outputs of what I believe is encoded with a matrix (similar to this method). I was wondering if its possible to reproduce the matrix used to transform the inputs into the ...
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congruence modulo and equality

why in cryptography most of the equalities written in the form of $$a:=b$$ why not we write $a=b$ why in congruence modulo $a \equiv c \pmod b$ that bracket is put. Is it refers the priority. can ...
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Perfect Secrecy, Encryption

An encryption scheme $(\mathrm{Gen},\mathrm{Enc},\mathrm{Dec})$ over a message space $M$ is perfectly secret if and only if for every probability distribution over $M$, every message $m\in M$, and ...
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How many arguments are there in a Merkle tree?

I want to calculate the amount of elements in a Merkle tree given the number of leaf elements. The number of elements at a given level n is equal to number of elements at a level n+1, divided by two ...
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Digital Signatures with message recovery - do they provide confidentiality?

I've lately found about digital signatures with message recovery. I was wondering, in what degree do these signatures provide confidentiality of the message (if they do at all) ? I've briefly read a ...

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