Codes and caps from orthogonal Grassmannians

被引：11
|
作者：
Cardinali, Ilaria [1 ]
Giuzzi, Luca [2 ]
机构：
[1] Univ Siena, Dept Informat Engn & Math, I-53100 Siena, Italy
[2] Univ Brescia, DICATAM Sect Math, I-25133 Brescia, Italy
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2013年 / 24卷
关键词：
Polar Grassmannians; Dual polar space; Embedding; Error correcting code; Cap; Hadamard matrix; Sylvester construction; TENSOR PRODUCT CODES; VERONESEAN EMBEDDINGS; POLAR SPACES; VARIETIES;
D O I：
10.1016/j.ffa.2013.07.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate linear error correcting codes and. projective caps related to the Grassmann embedding epsilon(gr)(k) of an orthogonal Grassmannian Delta(k). In particular, we determine some of the parameters of the codes arising from the projective system determined by epsilon(gr)(k)(Delta(k)). We also study special sets of points of Delta(k) which are met by any line of Delta(k) in at most 2 points and we show that their image under the Grassmann embedding epsilon(gr)(k) is a projective cap. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：148 / 169
页数：22
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