The dual of convolutional codes over Zpr\mathbb{Z}_{p^r}

An important class of codes widely used in applications is the class of convolutional codes. Most of the literature of convolutional codes is devoted to con- volutional codes over finite fields. The extension of the concept of convolutional codes from finite fields to finite rings have attracted much attention in recent years due to fact that they are the most appropriate codes for phase modulation. However convolutional codes over finite rings are more involved and not fully understood. Many results and features that are well-known for convolutional codes over finite fields have not been fully investigated in the context of finite rings. In this paper we focus in one of these unexplored areas, namely, we investigate the dual codes of convolutional codes over finite rings. In particular we study the p-dimension of the dual code of a convolutional code over a finite ring. This contribution can be considered a generalization and an extension, to the rings case, of the work done by Forney and McEliece on the dimension of the dual code of a convolutional code over a finite field.Comment: submitte

Column distances of convolutional codes over Z_p^r

Maximum distance profile codes over finite nonbinary fields have been introduced and thoroughly studied in the last decade. These codes have the property that their column distances are maximal among all codes of the same rate and degree. In this paper, we aim at studying this fundamental concept in the context of convolutional codes over a finite ring. We extensively use the concept of p-encoder to establish the theoretical framework and derive several bounds on the column distances. In particular, a method for constructing (not necessarily free) maximum distance profile convolutional codes over Zpr is presented.publishe

Organotin pollution at Arraial do Cabo, Rio de Janeiro State, Brazil: increasing levels after the TBT ban

O imposex, um fenômeno de desregulação endócrina, é um biomarcador da exposição ao tributilestanho (TBT) em populações de gastrópodes marinhos. A ocorrência e intensidade dessa síndrome nas populações do neogastrópode Stramonita haemastoma foram verificadas em nove estações amostrais em outubro de 2008 em Arraial do Cabo, uma área de grande importância turística no Rio de Janeiro (Brasil) e integrante da Reserva Extrativista Marinha de Arraial do Cabo. Com os resultados obtidos foi possível avaliar as alterações ocorridas desde o último biomonitoramento realizado em 2001, nessas mesmas estações. Mesmo após o banimento do TBT pela Marinha do Brasil em 2003, a entrada em vigor dos controles ao uso deste agente com o estabelecimento da NORMAM 23, no Brasil em 2007 pela Marinha, e o banimento completo do TBT nas fórmulas de tintas antiincrustantes pela IMO em escala global, em 2008, o imposex continua a ser detectado. Ao invés de um declínio esperado, observou-se um aumento da extensão das áreas afetadas pelo imposex. Além disso, observou-se a ausência de populações em áreas que em 2001 estavam gravemente afetadas pelo imposex. Esses resultados sugerem um aumento da poluição por TBT na área de estudo, indicando a ineficácia das medidas legislativas.Imposex, an endocrine disruption phenomenon, is a biomarker of tributyltin (TBT) exposure in marine gastropod populations. The occurrence and intensity of the syndrome in populations of the neogastropod Stramonita haemastoma were ascertained at nine sampling stations in October 2008 at Arraial do Cabo, a very important tourist resort in Rio de Janeiro state (Brazil) and part of the Marine Extractive Reserve of Arraial do Cabo. The results obtained made it possible to evaluate the changes which had occurred since the last biomonitoring campaign, undertaken in 2001, at these same stations. Despite the ban on the use of TBT imposed by the Brazilian Navy in 2003, the controls on the use of this agent in Brazil resulting from the establishment of NORMAM 23 by the Navy in 2007 and the complete ban of organotin compounds in antifouling paint formulae by the IMO on a global scale in 2008, imposex was still detected. Instead of the expected reduction, an increase was observed in the areas affected by imposex. Furthermore, populations in the areas seriously affected by imposex in 2001 were absent in the 2008 sampling campaign. These results suggest an increase in TBT pollution in the study area, indicating the inefficacy of legislative measures

On duals and parity-checks of convolutional codes over Z p r

A convolutional code C over Z_{p^r}((D)) is a Z_{p^r}((D))-submodule of Z_{p^r}^n((D)) that admits a polynomial set of generators, where Z_{p^r}((D)) stands for the ring of (semi-infinity) Laurent series. In this paper we study several structural properties of its dual C^{\perp} . We use these results to provide a constructive algorithm to build an explicit generator matrix of C^{\perp}. Moreover, we show that the transpose of such a matrix is a parity-check matrix (also called syndrome former) of C.publishe