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Correspondence to: Mario J Avila-Campos Laboratório de Anaeróbios Departamento de Microbiologia ICB/ USP Av. Prof. Lineu Prestes, 1374 05508-900 São Paulo, SP, Brasil E-mail: [email protected] Partially financied by Fundação de Amparo à Pesquisa do Estado de São Paulo (Fapesp Process n. 00/07785-3 and 00/ 07582-5). Based on thesis presented to Departamento de Microbiologia, Instituto de Ciências ...

Let K/Q be a degree d extension. Inside the ring of integers OK we define the set of k-free integers Fk and a natural OK-action on the space of binary OK-indexed sequences, equipped with an OK-invariant probability measure associated to Fk. We prove that this action is ergodic, has pure point spectrum, and is isomorphic to a Zdaction on a compact abelian group. In particular, it is not weakly m...

Recently, in Journal of Security and Communication Networks (5(12):1363-1374, DOI: 10.1002/ sec.429), Wang et al. proposed a group key distribution scheme with self-healing property for wireless networks in which resource is constrained. They claimed that their key distribution scheme satisfies forward security, backward security and can resist collusion attack. Unfortunately, we found some sec...