134 research outputs found

    A note on the computation of the Frobenius number of a numerical semigroup

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    In this note we observe that the Frobenius number and therefore the conductor of a numerical semigroup can be obtained from the maximal socle degree of the quotient of the corresponding semigroup algebra by the ideal generated by the biggest generator of the semigroup.Comment: Some typos in the introduction have been correcte

    Quantum codes from a new construction of self-orthogonal algebraic geometry codes

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    [EN] We present new quantum codes with good parameters which are constructed from self-orthogonal algebraic geometry codes. Our method permits a wide class of curves to be used in the formation of these codes. These results demonstrate that there is a lot more scope for constructing self-orthogonal AG codes than was previously known.G. McGuire was partially supported by Science Foundation Ireland Grant 13/IA/1914. The remainder authors were partially supported by the Spanish Government and the EU funding program FEDER, Grants MTM2015-65764-C3-2-P and PGC2018-096446-B-C22. F. Hernando and J. J. Moyano-Fernandez are also partially supported by Universitat Jaume I, Grant UJI-B2018-10.Hernando, F.; Mcguire, G.; Monserrat Delpalillo, FJ.; Moyano-Fernández, JJ. (2020). Quantum codes from a new construction of self-orthogonal algebraic geometry codes. Quantum Information Processing. 19(4):1-25. https://doi.org/10.1007/s11128-020-2616-8S125194Abhyankar, S.S.: Irreducibility criterion for germs of analytic functions of two complex variables. Adv. Math. 74, 190–257 (1989)Abhyankar, S.S.: Algebraic Geometry for Scientists and Engineers. Mathematical Surveys and Monographs, American Mathematical Society, Providence (1990)Ashikhmin, A., Barg, A., Knill, E., Litsyn, S.: Quantum error-detection I: statement of the problem. IEEE Trans. Inf. Theory 46, 778–788 (2000)Ashikhmin, A., Barg, A., Knill, E., Litsyn, S.: Quantum error-detection II: bounds. IEEE Trans. Inf. Theory 46, 789–800 (2000)Ashikhmin, A., Knill, E.: Non-binary quantum stabilizer codes. IEEE Trans. Inf. Theory 47, 3065–3072 (2001)Bosma, W., Cannon, J., Playoust, C.: The Magma algebra system. I. The user language. J. Symb. Comput. 24, 235–265 (1997)Bierbrauer, J., Edel, Y.: Quantum twisted codes. J. Comb. Des. 8, 174–188 (2000)Calderbank, A.R., Rains, E.M., Shor, P.W., Sloane, N.J.A.: Quantum error correction and orthogonal geometry. Phys. Rev. Lett. 76, 405–409 (1997)Calderbank, A.R., Shor, P.W.: Good quantum error-correcting codes exist. Phys. Rev. A 54, 1098–1105 (1996)Calderbank, A.R., Rains, E.M., Shor, P.W., Sloane, N.J.A.: Quantum error correction via codes over GF(4). IEEE Trans. Inf. Theory 44(4), 1369–1387 (1998)Campillo, A., Farrán, J.I.: Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models. Finite Fields Appl. 6, 71–92 (2000)Duursma, I.M.: Algebraic geometry codes: general theory. In: Advances in Algebraic Geometry Codes, Series of Coding Theory and Cryptology, vol. 5. World Scientific, Singapore (2008)Feng, K.: Quantum error correcting codes. In: Coding Theory and Cryptology, pp. 91–142. Word Scientific (2002)Feng, K., Ma, Z.: A finite Gilbert–Varshamov bound for pure stabilizer quantum codes. IEEE Trans. Inf. Theory 50, 3323–3325 (2004)Galindo, C., Geil, O., Hernando, F., Ruano, D.: On the distance of stabilizer quantum codes from JJ-affine variety codes. Quantum Inf. Process 16, 111 (2017)Galindo, C., Hernando, F., Matsumoto, R.: Quasi-cyclic construction of quantum codes. Finite Fields Appl. 52, 261–280 (2018)Galindo, C., Hernando, F., Ruano, D.: Stabilizer quantum codes from JJ-affine variety codes and a new Steane-like enlargement. Quantum Inf. Process 14, 3211–3231 (2015)Galindo, C., Hernando, F., Ruano, D.: Classical and quantum evaluation codes at the trace roots. IEEE Trans. Inf. Theory 16, 2593–2602 (2019)Garcia, A.: On AG codes and Artin–Schreier extensions. Commun. Algebra 20(12), 3683–3689 (1992)Goppa, V.D.: Geometry and Codes. Mathematics and its Applications, vol. 24. Kluwer, Dordrecht (1991)Goppa, V.D.: Codes associated with divisors. Probl. Inf. Transm. 13, 22–26 (1977)Gottesman, D.: A class of quantum error-correcting codes saturating the quantum Hamming bound. Phys. Rev. A 54, 1862–1868 (1996)Grassl, M., Rötteler, M.: Quantum BCH codes. In: Proceedings X International Symposium Theory Electrical Engineering, pp. 207–212. Germany (1999)Grassl, M., Beth, T., Rötteler, M.: On optimal quantum codes. Int. J. Quantum Inf. 2, 757–775 (2004)He, X., Xu, L., Chen, H.: New qq-ary quantum MDS codes with distances bigger than q/2q/2. Quantum Inf. Process. 15(7), 2745–2758 (2016)Hirschfeld, J.W.P., Korchmáros, G., Torres, F.: Algebraic Curves Over a Finite Field. Princeton Series in Applied Mathematics, Princeton (2008)Høholdt, T., van Lint, J., Pellikaan, R.: Algebraic geometry codes. Handb. Coding Theory 1, 871–961 (1998)Jin, L., Xing, C.: Euclidean and Hermitian self-orthogonal algebraic geometry codes and their application to quantum codes. IEEE Trans. Inf. Theory 58, 4489–5484 (2012)Ketkar, A., Klappenecker, A., Kumar, S., Sarvepalli, P.K.: Nonbinary stabilizer codes over finite fields. IEEE Trans. Inf. Theory 52, 4892–4924 (2006)La Guardia, G.G.: Construction of new families of nonbinary quantum BCH codes. Phys. Rev. A 80, 042331 (2009)La Guardia, G.G.: On the construction of nonbinary quantum BCH codes. IEEE Trans. Inf. Theory 60, 1528–1535 (2014)Lidl, R., Niederreiter, H.: Introduction to Finite Fields and Their Applications. Cambridge University Press, Cambridge (1994)Matsumoto, R., Uyematsu, T.: Constructing quantum error correcting codes for pmp^m state systems from classical error correcting codes. IEICE Trans. Fund. E83–A, 1878–1883 (2000)McGuire, G., Yılmaz, E.S.: Divisibility of L-polynomials for a family of Artin–Schreier curves. J. Pure Appl. Algebra 223(8), 3341–3358 (2019)Munuera, C., Sepúlveda, A., Torres, F.: Castle curves and codes. Adv. Math. Commun. 3, 399–408 (2009)Munuera, C., Tenório, W., Torres, F.: Quantum error-correcting codes from algebraic geometry codes of castle type. Quantum Inf. 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    Gestión de riesgos de costes de posconstrucción en edificios residenciales en alquiler

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    The post-construction cost of the buildings represents an essential part of its life cycle cost and therefore its control is fundamental to achieve the economic sustainability of a building. The present research proposes a model to identify, analyse and assess the risk of increases of post-construction cost in residential buildings for rental. To develop it, we turn to experts´ assessments and the experimentation of the model in different buildings. We use the semi-structured interview (a total of 83) as well as the Delphi method: in this last one, inquiry forms are replaced with interviews, so data quality are increased. The model proposes a scale to adjust the building risk level, which is between a minimum of 36 and a maximum of 109. The research results reveal that from the value of 75, the risk level is considered unacceptable.El coste de posconstrucción de los edificios representa una parte fundamental del coste en su ciclo de vida, por tanto su control es fundamental para lograr la sostenibilidad económica de un inmueble. Esta investigación propone un modelo para identificar, analizar y evaluar el riesgo de incrementos de coste de posconstrucción en edificios residenciales destinados al alquiler. Para su desarrollo recurrimos a valoraciones de expertos y a la experimentación del modelo en diferentes inmuebles. Empleamos las técnicas de entrevista semiestructurada (83 en total) y método Delphi, con la particularidad en este último de sustituir los formularios de consulta por entrevistas, incrementando así la calidad de los datos. El modelo propone una escala para graduar el nivel de riesgo del edificio, comprendido entre mínimo-máximo de 36 a 109. Los resultados de la investigación ponen de manifiesto que a partir del valor 75 el nivel de riesgo se considera inasumible

    On Weierstra{\ss} semigroups at one and two points and their corresponding Poincar\'e series

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    The aim of this paper is to introduce and investigate the Poincar\'e series associated with the Weierstra{\ss} semigroup of one and two rational points at a (not necessarily irreducible) non-singular projective algebraic curve defined over a finite field, as well as to describe their functional equations in the case of an affine complete intersection.Comment: Beginning of Section 3 and Subsection 3.1 were modifie

    Nutrient release through litterfall in short rotation poplar crops in mediterranean marginal land

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    Producción CientíficaA detailed knowledge of how poplar leaf litter decomposes under Mediterranean marginal conditions can help to minimize fertilization inputs and determine the profitability and sustainability of energy crops established in these particularly sensitive areas for bioenergy. Leaf litter decomposition was monitored for 32 months using the litterbag technique in a poplar crop under short rotation conditions in a marginal Mediterranean area. In addition, nutrient dynamics, together with the production and composition of the woody and foliar biomass produced, were studied for a period of four years. Leaf litter decomposition was relatively slow, particularly during the winter months, and accelerated in early spring, coinciding with the rainy season. At the end of the decomposition study 50% of the initial litterfall was decomposed, releasing roughly 60% of the N, 40% of the K, and 70% of the P initially present in fresh leaves. Annual yields of 6.0 dry Mg ha−1 were obtained. The aerial biomass produced the first year of the second rotation cycle extracted 83, 8.7, and 29 kg ha−1 of N, P, and K, respectively, whereas the amount of nutrients that were estimated to be naturally supplied to the system through leaf litter decomposition were 180 kg ha−1 of N, 19 kg ha−1 of P, and 30 kg ha−1 of K. Therefore, four years after establishing the energy crop, leaf litter was able to release higher amounts of primary macronutrients into the environment than the nutrient uptake by the produced aboveground biomass (woody and foliar biomass).Ministerio de Educación y Ciencia de España - FEDER (PS-120000-2005-6

    Characterization of α-amilasa activity in five Mediterranean sparids

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    Alpha-amylase activity was measured and described in five species of Mediterranean sparids: Pagrus pagrus (Linnaeus, 1758), Pagellus erytrhinus (Linnaeus, 1758), Pagellus bogaraveo (Brünnich, 1768), Boops boops (Linnaeus, 1758), and Diplodus annularis (Linnaeus, 1758). Major differences were found regarding the optimum pH and thermal sensitivity of this activity. B. boops showed low resistance at high temperatures, compared with D. annularis, which showed a higher thermal tolerance. Electrophoretic separation under native conditions (PAGE) and isoelectrofocus (IEF) revealed the existence of several α-amylase isoforms, ranging from 1-3 active fractions in the species studied. These differences are probably related to differences in their feeding habits, and having a variety of amylases can be considered an ecological advantage for those animals with this characteristic.La actividad α-amilasa intestinal fue medida y caracterizada en cinco especies de espáridos que habitan en el mar Mediterráneo: Pagrus pagrus (Linnaeus, 1758), Pagellus erytrhinus (Linnaeus, 1758), Pagellus bogaraveo (Brünnich, 1768), Boops boops (Linnaeus, 1758) y Diplodus annularis (Linnaeus, 1758). Las principales diferencias fueron observadas en el pH óptimo y en la sensibilidad a la temperatura. La actividad amilasa en B. boops demostró ser poco resistente a altas temperaturas, a diferencia de la de D. annularis, que resultó ser muy resistente. La separación electroforética en condiciones nativas (PAGE) e isoelectroenfoque (IEF) revelaron la existencia de un número de isoformas de la α-amilasa que osciló entre una y tres fracciones activas en las especies estudiadas. Estas diferencias posiblemente estén relacionadas con los distintos hábitos alimentarios de las especies estudiadas. Esta variedad de amilasas mostrada representa una ventaja ecológica para los animales que la poseen.Instituto Español de Oceanografí

    INTEGRATION OF DYNAMIC INFORMATION ON ENERGY PARAMETERS IN HBIM MODELS

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    The conservation of cultural heritage can be affected by different changes in temperature and humidity within architectural spaces, so energy performance and interior microclimate of historic buildings require adaptation to new maintenance and prevention studies. The search for these new investigations brings cultural heritage closer to new digital technologies such as Historic Building Information Modelling (HBIM). In this work, a new interdisciplinary methodology is developed between energy operators and BIM operators, so that a new framework is created to monitor energy parameters through intelligent sensors that measure temperature and humidity in the fully interoperable and semantically enriched 3D model itself. The study's commitment involves solving the interoperability workflow between sensors and the BIM platform, taking advantage of this new interconnectivity. For the study, a methodology applied to the Church of the Sacred Heart of Jesus in Seville was carried out, where from a survey through a georeferenced terrestrial laser scanner with topographic equipment, it is modelled from the point cloud, incorporating the sensors in the HBIM Project. In the workflow, it has been shown that the integration of microclimate data inside churches can be managed directly in the environment of an HBIM-based model and transfer a reverse flow in the process

    IWQoS 2017

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    Producción CientíficaThe promises of SDN and NFV technologies to boost innovation and to reduce the time-to-market of new services is changing the way in which residential networks will be deployed, managed and maintained in the near future. New user-centric management models for residential networks combining SDN-based residential gateways and cloud technologies have already been proposed, providing flexibility and ease of deployment. Extending the scope of SDN technologies to optical access networks and bringing cloud technologies to the edge of the network enable the creation of advanced residential networks in which complex service function chains can be established to provide traffic differentiation. In this context, this paper defines a novel network management model based on a user-centric approach that allows residential users to define and control access network resources and the dynamic provision of traffic differentiation to fulfill QoS requirements.Ministerio de Economía, Industria y Competitividad (context of GREDOS project TEC2015 -67834- R, TEC2014-53071- C3 -2P and Elastic Networks TEC2015-71932- REDT

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    High exposure of West Nile virus in equid and wild bird populations in Spain following the epidemic outbreak in 2020

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    A cross-sectional study was conducted to assess the circulation and risk factors associated with West Nile virus (WNV) exposure in equine and wild bird populations following the largest epidemic outbreak ever reported in Spain. A total of 305 equids and 171 wild birds were sampled between November 2020 and June 2021. IgG antibodies against flaviviruses were detected by blocking enzyme-linked immunosorbent assay (bELISA) in 44.9% (109/243) and 87.1% (54/62) of unvaccinated and vaccinated equids, respectively. The individual seroprevalence in unvaccinated individuals (calculated on animals seropositive by both bELISA and virus microneutralization test [VNT]) was 38.3% (95%CI: 33.1–43.4). No IgM antibodies were detected in animals tested (0/243; 0.0%; 95%CI: 0.0–1.5) by capture-ELISA. The main risk factors associated with WNV exposure in equids were age (adult and geriatric), breed (crossbred) and the absence of a disinsection programme on the facilities. In wild birds, IgG antibodies against flaviviruses were found in 32.7% (56/171; 95%CI: 26.8–38.6) using bELISA, giving an individual WNV seroprevalence of 19.3% (95%CI: 14.3–24.3) after VNT. Seropositivity was found in 37.8% of the 37 species analysed. Species group (raptors), age (>1-year old) and size (large) were the main risk factors related to WNV seropositivity in wild birds. Our results indicate high exposure and widespread distribution of WNV in equid and wild bird populations in Spain after the epidemic outbreak in 2020. The present study highlights the need to continue and improve active surveillance programmes for the detection of WNV in Spain, particularly in those areas at greatest risk of virus circulation
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