Isotropic Constant Dimension Subspace Codes

Author(s):

F. Bardestani* , S. R. Adhami

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In network code setting, a constant dimension code is a set of k-dimensional subspaces of F nq . If F_q n is a nondegenerated symlectic vector space with bilinear form f, an isotropic subspace U of F n q is a subspace that for all x, y ∈ U, f(x, y) = 0. We introduce isotropic subspace codes simply as a set of isotropic subspaces and show how the isotropic property use in decoding process, then we show that for suitable parameters there are isotropic spread codes.
Keywords:

Isotropic subspace , Constant dimension subspace code , Spread Codes.

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:14 Issue: 1, May 2019
Pages:
21 to 34
https://www.magiran.com/p1956532