On the security of multiple encryption
Communications of the ACM
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The class of cryptosystems with the public-key in the basis of which there is a functional NP-full problem about a knapsack is considered. This study offers an algorithm of building of universal and generalized public-key information protection system based on easy functional knapsack problem KF. Particularly there is an ability to get many mentioned in famous works dense and quick-growing knapsacks from the ones, which are considered in this article. The examined approach to setting up knapsack-type public-key cryptosystem allows to control in a more secure and flexible way the key space and key inputs. The basic knapsack is normal injective super generalized functional knapsack F(x0), and the used scheme is the generalized Merkle-Hellman scheme suggested by the author.