The second Feng-Rao number for codes coming from telescopic semigroups

In this manuscript we show that the second Feng-Rao number of any telescopic numerical semigroup agrees with the multiplicity of the semigroup. To achieve this result we first study the behavior of Ap\'ery sets under gluings of numerical semigroups. These results provide a bound for the second Hamming weight of one-point Algebraic Geometry codes, which improves upon other estimates such as the Griesmer Order Bound

On the second Feng-Rao distance of Algebraic Geometry codes related to Arf semigroups

Producción CientíficaWe describe the second (generalized) Feng-Rao distance for elements in an Arf numerical semigroup that are greater than or equal to the conductor of the semigroup. This provides a lower bound for the second Hamming weight for one point AG codes. In particular, we can obtain the second Feng-Rao distance for the codes defined by asymptotically good towers of function fields whose Weierstrass semigroups are inductive. In addition, we compute the second Feng-Rao number, and provide some examples and comparisons with previous results on this topic. These calculations rely on Apéry sets, and thus several results concerning Apéry sets of Arf semigroups are presented.Ministerio de Economía, Industria y Competitividad; y Fondo Europeo de Desarrollo Regional FEDER( Projects MTM2014-55367-P / MTM2015-65764-C3-1-P)Junta de Andalucía (Grant FQM-343)Fundação para a Ciência e a Tecnologia (Project UID/MAT/00297/2013

Petroleum and chlorinated hydrocarbons in biota samples from the Western Mediterranean. II. Fish samples

VIIes journées d'études sur les pollutions marines en Méditerranée, Workshop on pollution ot he Mediterranean, 11-13 Octobre 1984, Lucerne.-- 9 pages, 1 figure, 2 tablesIn a previous paper (VIth C.I.E.S.M. Workshop 1982) we reported data on levels of fossil hydrocarbons in benthic organisms (primarily bivalves) collected on the northern Spanish Mediterranean coast. We now report data on hydrocarbons, PCBs and DDTs in three fish species collected at different sites of the Catalan coast, namely off Barcelona, in the north (Palamos) and in the south (Ametlla). The species are Merluccius merluccius, Trachurus trachurus and Mullus barbatus and the analyses were carried out on the muscle, liver and gonads. [...]Peer reviewe

Accumulation and Distribution of Biogenic and Pollutant Hydrocarbons, PCBs and DDT in Tissues of Western Mediterranean Fishes

18 pages, 3 figures, 3 tablesData on hydrocarbons, PCBs and total DDT in muscle, liver and gonads of Mullas barbatus. Trachurus trachurus, Merluccius merluccius, Engraulis enchrasicholus and Micromesistius poutassou collected along the Catalan Coast (NW Mediterrenean) are reported for the first time. The species and the collection sites-off Barcelona to the north (Palamôs) and to the south (Ehro Delta)-were selected for the assessment of the effects of coastal pollutant sources on commercially valuable organisms. Mullus barbatus reflects the influence of local sources, and is therefore a useful bioindicator for organic pollutants. Despite some scattering of the results, concentrations are in general of the same order of magnitude for juvenile and adult specimens, although the pollutants considered exhibit different biological fates. Hydrocarbons are accumulated primarily in liver, whereas organochlorinated compounds are accumulated in gonads. Liver and muscle contents could reflect acute and chronic pollutants inputs respectively. The accumulation in muscle is more important for aromatic and chlorinated hydrocarbons than for the saturated ones, which are probably metabolized in the liver. © 1987Peer reviewe