Security
A third party can forge signatures either by finding the signer's secret key x or by finding collisions in the hash function . Both problems are believed to be difficult. However, as of 2011 no tight reduction to a computational hardness assumption is known.
The signer must be careful to choose a different k uniformly at random for each signature and to be certain that k, or even partial information about k, is not leaked. Otherwise, an attacker may be able to deduce the secret key x with reduced difficulty, perhaps enough to allow a practical attack. In particular, if two messages are sent using the same value of k and the same key, then an attacker can compute x directly.
Read more about this topic: ElGamal Signature Scheme
Famous quotes containing the word security:
“A well-regulated militia being necessary to the security of a free State, the right of the people to keep and bear arms shall not be infringed.”
—Second Amendment, U.S. Constitution (1791)
“It is hard for those who have never known persecution,
And who have never known a Christian,
To believe these tales of Christian persecution.
It is hard for those who live near a Bank
To doubt the security of their money.”
—T.S. (Thomas Stearns)
“... most Southerners of my parents’ era were raised to feel that it wasn’t respectable to be rich. We felt that all patriotic Southerners had lost everything in defense of the South, and sufficient time hadn’t elapsed for respectable rebuilding of financial security in a war- impoverished region.”
—Sarah Patton Boyle, U.S. civil rights activist and author. The Desegregated Heart, part 1, ch. 1 (1962)