Security
The security of the keystream generation of QUAD is provably reducible to the conjectured intractability of the MQ problem, namely solving a multivariate system of quadratic equations. The first proof was done over field GF(2) for an old-fashioned stream cipher (where the key is the initial state). It was later extended by Berbain and Gilbert in order to take into account the set-up procedure of a modern cipher (with a setup stage deriving the initial state from the key). The security of the whole cipher as a Pseudo Random Function can be related to the conjectured intractability of the MQ problem. The authors also studied the resistance of the cipher against classical attacks.
Read more about this topic: QUAD (cipher)
Famous quotes containing the word security:
“The three great ends which a statesman ought to propose to himself in the government of a nation, are,—1. Security to possessors; 2. Facility to acquirers; and, 3. Hope to all.”
—Samuel Taylor Coleridge (1772–1834)
“Those words freedom and opportunity do not mean a license to climb upwards by pushing other people down. Any paternalistic system that tries to provide for security for everyone from above only calls for an impossible task and a regimentation utterly uncongenial to the spirit of our people.”
—Franklin D. Roosevelt (1882–1945)
“... 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)