This article is the second part of a series three articles, in which we develop higher covering theory racks and quandles. project rooted M. Eisermann’s work on quandle coverings, categorical perspective brought to subject by V. Even, who characterizes coverings as those surjections are categorically central, relatively trivial We extend this applying techniques from Galois theory, sense G. Jan...

We describe TripletMail, a system for outsourcing e-mail backups. The typical corporate mail server that handles receiving, sending and storing e-mails is replaced by two components: A mail server for SMTP/IMAP and a storage system which maintains several encrypted copies of each e-mail in racks of inexpensive servers. In this thesis, we focus on two problems of the storage system: In inexpensi...

The majority of works in distributed storage networks assume a simple network model with a collection of identical storage nodes with the same communication cost between the nodes. In this paper, we consider a realistic multi-rack distributed data storage network and present a code design framework for this model. Considering the cheaper data transmission within the racks, our code construction...

A Hopf algebra object in Loday and Pirashvili’s category of linear maps entails an ordinary Hopf algebra and a Yetter–Drinfel’d module. We equip the latter with a structure of a braided Leibniz algebra. This provides a uni ed framework for examples of racks in the category of coalgebras discussed recently by Carter, Crans, Elhamdadi and Saito.

Aquaculture industries have the capacity to produce positive ecosystem service benefits, such as provision of habitat wild animals. Oyster cultivation is oldest and largest aquaculture industry in south-eastern Australia. spat are grown marketable size rack-and-rail (‘racks’) or longline-and-basket (‘baskets’) configurations, which add structure estuarine waters. This study assessed: (1) how fi...