Bounds on subspace codes based on subspaces of type (s,0,0,0) in pseudo-sympletic spaces and singular pseudo-symplectic spaces

2021 ◽  
Vol 407 ◽  
pp. 126322
Author(s):  
You Gao ◽  
Jinru Gao ◽  
Gang Wang
Keyword(s):  
Subspace Codes ◽  
Symplectic Spaces

Bounds on subspace codes based on totally isotropic subspace in symplectic spaces and extended symplectic spaces

2019 ◽  
Vol 12 (05) ◽  
pp. 1950069
Author(s):  
Mahdieh Hakimi Poroch
Keyword(s):  
Sphere Packing ◽  
Symplectic Space ◽  
Isotropic Subspace ◽  
Subspace Codes ◽  
Singleton Bound ◽  
Symplectic Spaces ◽  
Isotropic Subspaces ◽  
Totally Isotropic Subspace ◽  
Totally Isotropic Subspaces

In this paper, we propose the Sphere-packing bound, Singleton bound and Gilbert–Varshamov bound on the subspace codes [Formula: see text] based on totally isotropic subspaces in symplectic space [Formula: see text] and on the subspace codes [Formula: see text] based on totally isotropic subspace in extended symplectic space [Formula: see text].

Efficient Error-Correcting Pooling Designs Constructed from Pseudo-Symplectic Spaces Over a Finite Field

2010 ◽  
Vol 17 (10) ◽  
pp. 1413-1423 ◽  
Author(s):  
Zengti Li ◽  
Suogang Gao ◽  
Hongjie Du ◽  
Feng Zou ◽  
Weili Wu
Keyword(s):  
Finite Field ◽  
Pooling Designs ◽  
Symplectic Spaces

Decoding twocomponent subspace codes

2020 ◽  
Vol 12 (2) ◽  
pp. 30-39
Author(s):  
V.V. Kien ◽  
N.I. Pilipchuk
Keyword(s):  
Subspace Codes

scholarly journals Subspace Codes Based on Partial Injective Maps of Vector Spaces Over Finite Fields

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 192608-192615
Author(s):  
Hong-Li Wang ◽  
Gang Wang ◽  
You Gao
Keyword(s):  
Finite Fields ◽  
Vector Spaces ◽  
Subspace Codes ◽  
Injective Maps

scholarly journals Subspace Polynomials and Cyclic Subspace Codes

2016 ◽  
Vol 62 (3) ◽  
pp. 1157-1165 ◽  
Author(s):  
Eli Ben-Sasson ◽  
Tuvi Etzion ◽  
Ariel Gabizon ◽  
Netanel Raviv
Keyword(s):  
Subspace Codes ◽  
Cyclic Subspace

Generalized Inverse of Upper Triangular Infinite Dimensional Hamiltonian Operators

2013 ◽  
Vol 20 (03) ◽  
pp. 395-402
Author(s):  
Junjie Huang ◽  
Xiang Guo ◽  
Yonggang Huang ◽  
Alatancang
Keyword(s):  
Explicit Expression ◽  
Generalized Inverse ◽  
Hamiltonian Operator ◽  
Operator Matrix ◽  
Infinite Dimensional ◽  
Symplectic Spaces ◽  
Hamiltonian Operators

In this paper, we deal with the generalized inverse of upper triangular infinite dimensional Hamiltonian operators. Based on the structure operator matrix J in infinite dimensional symplectic spaces, it is shown that the generalized inverse of an infinite dimensional Hamiltonian operator is also Hamiltonian. Further, using the decomposition of spaces, an upper triangular Hamiltonian operator can be written as a new operator matrix of order 3, and then an explicit expression of the generalized inverse is given.

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