Semifields of order <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>q</mml:mi><mml:mn>6</mml:mn></mml:msup></mml:math> with left nucleus <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi mathvariant="double-struck">F</mml:mi><mml:msup><mml:mi>q</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:msub></mml:math> and center <mml:math altimg="si3.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi mathvariant="double-struck">F</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:math>-Reference-Cited by-同舟云学术

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Semifields of order q6 with left nucleus Fq3 and center Fq

Published:2008-04 Issue:2 Volume:14 Page:456-469
ISSN:1071-5797
Container-title:Finite Fields and Their Applications
language:en
Short-container-title:Finite Fields and Their Applications

Author:

Johnson Norman L.,Marino Giuseppe,Polverino Olga,Trombetti Rocco

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference12 articles.

1. Finite division algebras and finite planes;Albert;Proc. Sympos. Appl. Math.,1960

2. Foundations of Translation Planes;Biliotti,2001

3. Semifield planes of order q4 with kernel Fq2 and center Fq;Cardinali;European J. Combin.,2006

4. Finite Geometries;Dembowski,1968

5. G. Ebert, G. Marino, O. Polverino, R. Trombetti, Infinite families of new semifields, submitted for publication

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. 50 Years of translation structures;Journal of Geometry;2022-06-10

2. The isotopism problem of a class of 6-dimensional rank 2 semifields and its solution;Finite Fields and Their Applications;2015-07

3. On BEL-configurations and finite semifields;Designs, Codes and Cryptography;2014-12-14

4. Solution to An Isotopism Question Concerning Rank 2 Semifields;Journal of Combinatorial Designs;2013-11-10

5. Finite semifields and nonsingular tensors;Designs, Codes and Cryptography;2012-06-14

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