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To resist various attacks, a Boolean function used in symmetric cipher systems should satisfy multiple cryptographic criteria. In this paper, a new generalized construction method for Boolean functions which satisfy multiple cryptographic criteria is provided. These multiple cryptographic criteria include balanced, high nonlinearity, high algebraic degree, propagation criterion of order l (PC(l))...
A new knapsack type public key cryptosystem is proposed by constructing an easy knapsack problem. The cryptosystem is shown to be secure against Shamir's key recovery attack in that it does not use a super-increasing knapsack sequence in the construction process. The cryptosystem is also invulnerable to low density attack in that it obtains a relatively high density. It is shown that the cryptosystem...
Murakami and Nasako proposed a knapsack public key cryptosystem in 2008. They claimed that their proposal is secure against some known attacks. In this paper, we propose a cryptanalytic attack on the cryptosystem. We use a heuristic method to show that the secret key can be recovered with lattice reduction algorithms. Hence, their construction is insecure.
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