Evaluation codes defined by finite families of plane valuations at infinity

C. Galindo; F. Monserrat

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Evaluation codes defined by finite families of plane valuations at infinity

机译：由无穷远处的有限平面估值族定义的评估代码

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摘要

We construct evaluation codes given by weight functions defined over polynomial rings in m ≥ 2 indeterminates. These weight functions are determined by sets of m - 1 weight functions over polynomial rings in two indeterminates defined by plane valuations at infinity. Well-suited families in totally ordered commutative groups are an important tool in our procedure.

机译：我们构造由m≥2不确定的多项式环上定义的权重函数给出的评估代码。这些权重函数由多项式环上的m-1个权重函数集（由两个在平面上无限大的值确定的不确定项）确定。完全有序交换组中的合适家庭是我们程序中的重要工具。

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来源
《Designs, Codes and Crytography》 |2014年第2期|189-213|共25页
作者
C. Galindo; F. Monserrat;
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作者单位

Depaitamento de Matematicas & Instituto Universitario de Matematicas y Aplicaciones de Castellon (IMAC), Universitat Jaume I, Campus de Riu Sec, 12071 Castell6n, Spain;

Depaitamento de Matematicas & Instituto Universitario de Matematicas y Aplicaciones de Castellon (IMAC), Universitat Jaume I, Campus de Riu Sec, 12071 Castell6n, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Error-correcting codes; Algebraic Geometric Codes;

机译：纠错码;代数几何代码;

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专利

1. delta-sequences and evaluation codes defined by plane valuations at infinity [J] . Galindo C, Monserrat F Proceedings of the London Mathematical Society . 2009,第Pta3期

机译：平面序列在无穷大时定义的增量序列和评估代码
2. δ-sequences and evaluation codes defined by plane valuations at infinity [J] . Carlos Galindo and Proceedings of the London Mathematical Society . 2009,第3期

机译：δ序列和评估代码由无穷远处的平面评估定义
3. Improved evaluation codes defined by plane valuations [J] . M. Borges-Quintana, MA Borges-Trenard, C. Galindo Finite fields and their applications . 2010,第4期

机译：通过飞机评估定义的改进评估代码
4. Families of Convolutional Codes over Finite Fields: A Survey [C] . M. Isabel Garcia Planas Iinternational conference on codes, cryptology, and information security . 2017

机译：有限域上的卷积码族：一项调查
5. Finite planes and finite upper half planes: Their geometry, a trace formula, modular forms, and Eisenstein series [D] . Shaheen, Anthony M. 2005

机译：有限平面和有限的上半平面：它们的几何形状，迹线公式，模数形式和爱森斯坦级数
6. Evaluating the model of classification and valuation of disabilities used in Brazil and defining the elaboration and adoption of a unique model for all the country: Brazilian Interministerial Workgroup Task [O] . Heloisa Di Nubila, Ana Rita de Paula, Miguel Abud Marcelino, 2011

机译：评估巴西使用的残疾分类和评估模型并为全国制定和采用独特的模型：巴西部际工作组任务
7. Evaluation codes defined by finite families of plane valuations at infinity [O] . Galindo Pastor Carlos, Monserrat Delpalillo Francisco José 2013

机译：由无穷远的有限平面估值族定义的评估代码
8. Sasl- a Finite Element Code for the Static Analysis of Axisymmetric and Plane Solids Subjected to Axisymmetric and Plane Loadings. [R] . callabresi, m. l. heidelberg jr, s. t. 1973

机译：sasl-轴对称和平面载荷下轴对称和平面固体静力分析的有限元程序。

Evaluation codes defined by finite families of plane valuations at infinity

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