Tagged Questions
3
votes
1answer
95 views
Trying to better understand the failure of the Index Calculus for ECDLP
So I'm going to give you guys my understanding and then if you would be so kind as to tell me where I'm off the mark (hopefully I'm not completely wrong).
So basically the index calculus for the ...
2
votes
1answer
69 views
Discrete log analog of ECM factoring algorithm?
Anecdotally, most factoring algorithms have a corresponding variant algorithm that can be used to attack the discrete log problem using similar ideas.
Is there an analog of the elliptic curve (ECM) ...
2
votes
1answer
52 views
Discrete logs on elliptic curve with embedding degree 3 with the 'MOV' attack
The curve $E(\mathbb{F}_{47}):y^2=x^3+x+38$ has order $61$ and $61|47^3-1$ so the embedding degree of $E$ is $3$ and therefore the MOV attack, presumably using some sort of distortion map and a ...
2
votes
1answer
219 views
Why are elliptic curve variants of RSA “chiefly of academic interest”?
Yesterday I was thinking about elliptic curve variants of popular protocols/algorithms (ECDH, ECES[1], etc) and the thought occured that I had never seen an elliptic curve variant of RSA. My ...
2
votes
2answers
334 views
ECC algorithm pollard's $\rho$ complexity
One of the methods to break a ECDLP is Pollard's rho algorithm. When ECDLP is defined over a finite field $F_p$, and given a relation $S=w.T$, where S and T are a member of $F_p$. Then ECDLP is to ...
4
votes
2answers
231 views
An Elliptic curve cryptography implementation which can be terminated
I'd like to have an implementation of elliptic curve cryptography along the lines of secp256k1 which is secure until some information is published after which it is broken.
One idea would be to use ...
5
votes
1answer
119 views
Are there security issues with discrete logarithm keys not being uniformly distributed?
Generally, algorithms based on discrete logarithm specify that private keys are chosen as scalars between 1 and the order of the group (denoted q here). For instance IEEE P1363 and FIPS 186-3 both ...
