New maximum scattered linear sets of the projective line

Csajbok Bence; Marino Giuseppe; Zullo Ferdinando

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New maximum scattered linear sets of the projective line

机译：投影线的新的最大分散线性集

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摘要

In [2] and [18] are presented the first two families of maximum scattered F-q-linear sets of the projective line PG(1, q(n)). More recently in [22] and in [5], new examples of maximum scattered F-q-subspaces of V(2, q(n)) have been constructed, but the equivalence problem of the corresponding linear sets is left open.

机译：在[2]和[18]中介绍了投影线PG（1，q（n））的前两个最大散射F-q-线性集。最近在[22]和[5]中，已经构造了V（2，q（n））的最大分散F-q-子空间的新示例，但是相应线性集的等价问题仍然悬而未决。

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来源
《Finite fields and their applications》 |2018年第11期|133-150|共18页
作者
Csajbok Bence; Marino Giuseppe; Zullo Ferdinando;
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作者单位

Eotvos Lorand Univ, MTA ELTE Geometr & Algebra Combinator Res Grp, Dept Geometry, Pazmany P Stny 1-C, H-1117 Budapest, Hungary;

Univ Campania Luigi Vanvitelli, Dipartimento Matemat & Fis, Viale Lincoln 5, I-81100 Caserta, Italy;

Univ Campania Luigi Vanvitelli, Dipartimento Matemat & Fis, Viale Lincoln 5, I-81100 Caserta, Italy;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Linear set; Scattered subspace; MRD-code;

机译：线性集;分散子空间;MRD码;

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专利

1. Vertex properties of maximum scattered linear sets of PG(1, q(n)) [J] . Discrete mathematics . 2020,第5期

机译：PG的最大散射线性组的顶点属性（1，Q（n））
2. Maximum scattered F-q-linear sets of PG(1, q(4)) [J] . Csajbok Bence, Zanella Corrado Discrete mathematics . 2018,第1期

机译：最大散射F-Q-Linear集PG（1，Q（4））
3. Maximum Scattered Linear Sets and Complete Caps in Galois Spaces [J] . Bartoli Daniele, Giulietti Massimo, Marino Giuseppe, Combinatorica . 2018,第2期

机译：最大散射线性组和伽罗瓦空间的完整帽
4. Complementation of Rational Sets on Scattered Linear Orderings of Finite Rank [C] . Olivier Carton, Chloe Rispal Latin American Symposium on Theoretical Informatics(LATIN 2004); 20040405-20040408; Buenos Aires; AR . 2004

机译：有限秩的离散线性序上有理集的补
5. Algorithms involving alternating projections onto the nonconvex sets occuring in linear complementarity problems [D] . Haddad, Caroline N. 1993

机译：涉及线性互补问题中出现在非凸集上的交替投影的算法
6. Thoracic target volume delineation using various maximum-intensity projection computed tomography image sets for radiotherapy treatment planning [O] . David A. Zamora, Adam C. Riegel, Xiaojun Sun, -1

机译：使用各种最大强度投影计算机断层扫描图像集描绘胸腔目标体积用于放射治疗计划
7. New maximum scattered linear sets of the projective line [O] . Csajbók, Bence, Marino, Giuseppe, Zullo, Ferdinando 2017

机译：新的最大散射线性集的投影线
8. Duality of I Projections and Maximum Likelihood Estimation for Log-Linear Models under Cone Constraints [R] . Dykstra, R. L., Lemke, J. H. 1988

机译：锥约束下对数线性模型I投影的对偶性和极大似然估计

New maximum scattered linear sets of the projective line

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