Algebraic Codes and Geometry of Some Classical Generalized Polygons

被引：0
|
作者：
Sastry, N.S.Narasimha [1 ]
机构：
[1] Indian Statistical Institute Division of Theoretical Statistics and Mathematics, 8th Mile, Mysore Road, R.V. College Post, Bangalore, India
来源：
Springer Proceedings in Mathematics and Statistics | 2014年 / 82卷
关键词：
Algebraic codes - Automorphism groups - Generalized polygons - In contexts - Nondegenerate - Ovoids - Polarity - Symmetric bilinear forms;
D O I：
10.1007/978-81-322-1814-2_14
中图分类号：
学科分类号：
摘要：
Some results about the geometry of, and the q-ary codes associated with the finite generalized polygons W (q), q = 2n; H (q), q = 3n; and O(q), q = 22m+1, are surveyed to put in context a few simple observations and state a few related questions. In Sect. 4, using the polarity in the case of W (q), q = 22m+1, and that of H (q), q = 32m+1, we present a nondegenerate symmetric bilinear form on, and a polarity of, the q-ary code associated with each of these geometries which is stabilized by the centralizer of the polarity in the automorphism group of the geometry. © Springer India 2014.
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页码：259 / 278
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