All Questions
8 questions
0
votes
1
answer
90
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Getting the slope of a public key given its x and y coordinates
Is it possible to get the slope of a public key given its $x$ and $y$ coordinates?
Since all the ECC calculations come from geometry, I thought this calculation might be possible.
- 11
1
vote
2
answers
306
views
Symmetric versus asymmetric self encryption
I can encrypt my files with a symmetric encryption algorithm like AES, or with an asymmetric encryption algorithm like RSA or ECC (I encrypt my files with my own public key). No communication is ...
- 11
2
votes
0
answers
186
views
Security of an Elliptic Curve Public Key with a "Small" x-coordinate
Consider an elliptic curve over a finite field $F_p$ with $p$ prime and order $n$. Let $Q$ be a generator for the field. Given a public key point $P = aQ$, suppose we have an algorithm that finds an ...
- 29
4
votes
0
answers
186
views
What is the difference between Elliptic curves and Hyper-elliptic curves in terms of security? [duplicate]
What is the difference between Elliptic curves and Hyperelliptic curves in terms of security? I am relatively new to cryptography and have heard a great deal more about Elliptic curves than ...
4
votes
0
answers
361
views
Encrypt using ECDH with two different EC public keys, minimizing payload size
Let's say Alice has the private EC keys $a$ and $b$, with a base point of prime order $G$. Alice computes the corresponding public keys $A = aG$ and $B = bG$, and sends them to Bob.
Bob now wants to ...
- 141
1
vote
1
answer
177
views
Elliptic curve representation
According to this page, Edward's curve point doubling can be represented in a different way by assuming $c=1$ and $d = r^2$.
It then says we can represent $x y$ as $Y Z$ satisfying $r\cdot y = \frac ...
- 11
0
votes
1
answer
260
views
Is there any way to test how secure is a new cryptosystem? [closed]
I have investigated Elliptic Curves and after that I have designed a cryptosystem using this technique. How can I test the safety of my scheme compared to another cryptosystems that use factoring such ...
0
votes
1
answer
745
views
Message Expansion / Encryption Blowup Factor / Ciphertext Expansion of ECC
In order to complete the following table with asymptotic times and message expansions,
$\quad \quad \quad \quad \quad \quad \quad \quad \quad$ RSA $\quad$ McEliece $\quad$ ECC
Encryption Speed $\...
- 325