The maximal size of 6- and 7-arcs in projective Hjelmslev planes over chain rings of order 9 Dedicated to Professor Feng Keqin on the Occasion of his 70th Birthday

We complete the determination of the maximum sizes of （k,n）-arcs, n ≤ 12, in the projective gjelmslev planes over the two （proper） chain rings Z9 = Z/9Z and S3 = F3[X]/（X2） of order 9 by resolving the hitherto open cases n = 6 and n = 7. Parts of our proofs rely on decidedly geometric properties of...

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Bibliographic Details
Published in:中国科学：数学英文版 2012, Vol.55 (1), p.73-92
Main Author: HONOLD Thomas KIERMAIER Michael
Format: Article
Language:English
Subjects:
几何性质
投射
最大尺寸
最大规模
生日
笛沙格定理
链环
飞机
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Summary:We complete the determination of the maximum sizes of （k,n）-arcs, n ≤ 12, in the projective gjelmslev planes over the two （proper） chain rings Z9 = Z/9Z and S3 = F3[X]/（X2） of order 9 by resolving the hitherto open cases n = 6 and n = 7. Parts of our proofs rely on decidedly geometric properties of the planes such as Desargues＇ theorem and the existence of certain subplanes.
ISSN:1674-7283
1869-1862