Cyclic and constacyclic codes over a non-chain ring

oai:ojs2.jacodesmath.com:article/1In this study, we consider linear and especially cyclic codes over the non-chain ring $Z_{p}[v]/\langle v^{p}-v\rangle$ where $p$ is a prime. This is a generalization of the case $p=3.$ Further, in this work the structure of constacyclic codes are studied as well. This study takes advantage mainly from a Gray map which preserves the distance between codes over this ring and $p$-ary codes and moreover this map enlightens the structure of these codes. Furthermore, a MacWilliams type identity is presented together with some illustrative examples

A generalization of the Mignotte's scheme over Euclidean domains and applications to secret image sharing

Secret sharing scheme is an efficient method to hide secret key or secret image by partitioning it into parts such that some predetermined subsets of partitions can recover the secret but remaining subsets cannot. In 1979, the pioneer construction on this area was given by Shamir and Blakley independently. After these initial studies, Asmuth-Bloom and Mignotte have proposed a different $(k,n)$ threshold modular secret sharing scheme by using the Chinese remainder theorem. In this study, we explore the generalization of Mignotte's scheme to Euclidean domains for which we obtain some promising results. Next, we propose new algorithms to construct threshold secret image sharing schemes by using Mignotte's scheme over polynomial rings. Finally, we compare our proposed scheme to the existing ones and we show that this new method is more efficient and it has higher security

Culture Builds Community Research Brief: The Power of Arts and Culture in Community Building

This research brief was designed as a hand-out for broad circulation among community arts practitioners as well as advocates and funders of community-based cultural programs. SIAP research in Philadelphia demonstrates that community arts activity can be a driving force behind the revitalization of neighborhoods. Culture Builds Community, an initiative of the William Penn Foundation, supported community arts programs in Greater Philadelphia from 1997–2001. Evaluation of this initiative, led by the Social Impact of the Arts Project at the University of Pennsylvania (SIAP), focused on the ability of these organizations to build their own capacity while strengthening their community

Arts In Place: Philadelphia\u27s Cultural Landscape

To inform the debate over costs vs benefits of arts-based development to neighborhood revitalization, Penn Urban Studies Program chose arts in place as the theme of its Third Annual Public Conversation Series 2003-04. This document is a synthesis of the narratives and insights gleaned from the series--eight events with 23 speakers over five months--to share with a wider audience. The report describes the models and theories about how the arts influence development raised in six site-based discussions. Lastly, the report presents themes and issues that cut across Philadelphia\u27s cultural landscape aired during the culminating session and throughout the series

On DNA codes from a family of chain rings

In this work, we focus on reversible cyclic codes which correspond to reversible DNA codes or reversible-complement DNA codes over a family of finite chain rings, in an effort to extend what was done by Yildiz and Siap in [20]. The ring family that we have considered are of size $2^{2^k}$, $k=1,2, \cdots$ and we match each ring element with a DNA $2^{k-1}$-mer. We use the so-called $u^2$-adic digit system to solve the reversibility problem and we characterize cyclic codes that correspond to reversible-complement DNA-codes. We then conclude our study with some examples

Crane Arts: Financing Artists’ Workspaces

This brief tells the story of Crane Arts, the conversion of Crane Plumbing Company’s 1905 factory and warehouse in Philadelphia\u27s Old Kensington, to affordable artist studio and gallery space. In spring 2004 two artists and a developer--Crane Arts LLC—purchased the property and began the challenge of rehabilitation of a century-old factory in a former manufacturing district. Along the way, they heard about TRF’s lending activities, including commercial real estate in urban neighborhoods. The Crane Arts project was a perfect fit for TRF, which views the arts as critical to the health of a community and invests in projects that have the potential to catalyze revitalization in Philadelphia neighborhoods. The success of Crane Arts has encouraged TRF to finance other artist centers in Philadelphia

Culture and Social Wellbeing in New York City: Highlights of a Two-Year Research Project

Understanding the social value of the arts and culture in New York City neighborhoods was the goal of the research undertaken between 2014 and 2017 by Penn\u27s Social Impact of the Arts Project (SIAP) in collaboration with Reinvestment Fund. This brief is a summary of the conceptual framework, data and methodology, findings and implications of the research discussed in the full report--The Social Wellbeing of New York City\u27s Neighborhoods: The Contributions of Culture and the Arts (March 2017)