Most public key cryptosystems have been constructed based on abelian groups up to now. We propose a new public key cryptosystem built on finite non abelian groups in this paper. It is convertible toâ€¦ (More)

In Crypto 97, a public key cryptosystem based on the closest vector problem was suggested by Goldreich, Goldwasser and Halevi [4]. In this paper, we propose a public key cryptosystem applyingâ€¦ (More)

We construct a class of 3 âŠ— 3 entangled edge states with positive partial transposes using indecomposable positive linear maps. This class contains several new types of entangled edge states withâ€¦ (More)

We consider entanglement witnesses arising from positive linear maps which generate exposed extremal rays. We show that every entanglement can be detected by one of these witnesses, and this witnessâ€¦ (More)

In the paper under the same title, we have constructed entangled states with positive partial transposes using indecomposable positive linear maps between matrix algebras. In this paper, we show thatâ€¦ (More)