386 research outputs found

    Higher Hamming weights for locally recoverable codes on algebraic curves

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    We study the locally recoverable codes on algebraic curves. In the first part of this article, we provide a bound of generalized Hamming weight of these codes. Whereas in the second part, we propose a new family of algebraic geometric LRC codes, that are LRC codes from Norm-Trace curve. Finally, using some properties of Hermitian codes, we improve the bounds of distance proposed in [1] for some Hermitian LRC codes. [1] A. Barg, I. Tamo, and S. Vlladut. Locally recoverable codes on algebraic curves. arXiv preprint arXiv:1501.04904, 2015

    Minimum-weight codewords of the Hermitian codes are supported on complete intersections

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    Let H\mathcal{H} be the Hermitian curve defined over a finite field Fq2\mathbb{F}_{q^2}. In this paper we complete the geometrical characterization of the supports of the minimum-weight codewords of the algebraic-geometry codes over H\mathcal{H}, started in [1]: if dd is the distance of the code, the supports are all the sets of dd distinct Fq2\mathbb{F}_{q^2}-points on H\mathcal{H} complete intersection of two curves defined by polynomials with prescribed initial monomials w.r.t. \texttt{DegRevLex}. For most Hermitian codes, and especially for all those with distance dq2qd\geq q^2-q studied in [1], one of the two curves is always the Hermitian curve H\mathcal{H} itself, while if d<qd<q the supports are complete intersection of two curves none of which can be H\mathcal{H}. Finally, for some special codes among those with intermediate distance between qq and q2qq^2-q, both possibilities occur. We provide simple and explicit numerical criteria that allow to decide for each code what kind of supports its minimum-weight codewords have and to obtain a parametric description of the family (or the two families) of the supports. [1] C. Marcolla and M. Roggero, Hermitian codes and complete intersections, arXiv preprint arXiv:1510.03670 (2015)

    Protecting the Living and the Dead: How Missouri Can Enact a Constitutional Funeral-Protest Statute

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    This Note will analyze the constitutionality of Missouri\u27s funeral-protest statutes under the First Amendment. This Note argues that, with certain changes, Missouri\u27s funeral-protest statutes should pass constitutional muster. In Part II, this Note analyzes the facts and holding of Phelps-Roper v. Koster. Next, in Part III, this Note explores the legal background of the First Amendment, time, place, and manner restrictions, and how other courts have decided cases involving funeral-protest laws. Part IV examines the court\u27s rationale in Phelps-Roper v. Koster. Lastly, Part V explains where the district court erred and how Missouri\u27s funeral-protest statutes can be changed to become constitutional time, place, and manner restrictions. This Note concludes with a challenge to the Missouri legislature to draft and enact a constitutional funeral-protest statute and a hope that discussion by the Supreme Court of the United States will allow Missouri to do so

    Protecting the Living and the Dead: How Missouri Can Enact a Constitutional Funeral-Protest Statute

    Get PDF
    This Note will analyze the constitutionality of Missouri\u27s funeral-protest statutes under the First Amendment. This Note argues that, with certain changes, Missouri\u27s funeral-protest statutes should pass constitutional muster. In Part II, this Note analyzes the facts and holding of Phelps-Roper v. Koster. Next, in Part III, this Note explores the legal background of the First Amendment, time, place, and manner restrictions, and how other courts have decided cases involving funeral-protest laws. Part IV examines the court\u27s rationale in Phelps-Roper v. Koster. Lastly, Part V explains where the district court erred and how Missouri\u27s funeral-protest statutes can be changed to become constitutional time, place, and manner restrictions. This Note concludes with a challenge to the Missouri legislature to draft and enact a constitutional funeral-protest statute and a hope that discussion by the Supreme Court of the United States will allow Missouri to do so

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    Arachidonic Acid/ppara Enhancement of Ca2+-Regulated Exocytosis in Antral Mucous Cells of Guinea Pig

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    N is known to be the most limiting element for vegetation growth in temperate and boreal forests. The expected increases in global temperature are predicted to accelerate N mineralization, therefore incrementing N availability in the soil and affecting the soil C cycle as well. While there is an abundance of C data collected to fulfill the requirements for national GHG accounting, more limited information is available for soil N accumulation and storage in relation to forest categories and altitudinal gradients. The data collected by the second Italian National Forest Inventory, spanning a wide range of temperature and precipitation values (10° latitudinal range), represented a unique opportunity to calculate N content and C/N ratio of the different soil layers to a depth of 30 cm. Boosted Regression Tree (BRT) models were applied to investigate the main determinants of soil N distribution and C/N ratio. Forest category was shown to be the main explanatory factor of soil N variability in seven out of eight models, both for forest floor and mineral soil layers. Moreover latitude explained a larger share of variability than single climate variables. BRT models explained, on average, the 49% of the data variability, with the remaining fraction likely due to soil-related variables that were unaccounted for. Accurate estimations of N pools and their determinants in a climate change perspective are consequently required to predict the potential impact of their degradation on forest soil N pools
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