A construction of d<sup>e</sup>-disjunct matrices with symplectic space

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].

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Construction of Pooling Designs with Affine Symplectic Space

2015 11th International Conference on Computational Intelligence and Security (CIS) ◽

10.1109/cis.2015.75 ◽

2015 ◽

Author(s):

Haixia Guo

Keyword(s):

Symplectic Space ◽

Pooling Designs

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Formation of the New Multi-sender Authentication Codes Via Symplectic Space through Finite Commutative Rings with Applications

2021 18th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON) ◽

10.1109/ecti-con51831.2021.9454696 ◽

2021 ◽

Author(s):

Wachirapong Jirakitpuwapat ◽

Poom Kumam ◽

Parin Chaipunya ◽

Habib ur Rehman

Keyword(s):

Commutative Rings ◽

Symplectic Space ◽

Authentication Codes ◽

Finite Commutative Rings

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Chiral strings, topological branes, and a generalised Weyl-invariance

International Journal of Modern Physics A ◽

10.1142/s0217751x19500313 ◽

2019 ◽

Vol 34 (06n07) ◽

pp. 1950031 ◽

Cited By ~ 1

Author(s):

Alex S. Arvanitakis

Keyword(s):

Field Theory ◽

Sigma Model ◽

Space Time ◽

Symplectic Space ◽

Topological Field Theory ◽

Brst Operator ◽

Weyl Invariance ◽

Fixed Action ◽

Twistor Strings ◽

Topological Field

We introduce a sigma model Lagrangian generalising a number of new and old models which can be thought of as chiral, including the Schild string, ambitwistor strings, and the recently introduced tensionless AdS twistor strings. This “chiral sigma model” describes maps from a [Formula: see text]-brane worldvolume into a symplectic space and is manifestly invariant under diffeomorphisms as well as under a “generalised Weyl invariance” acting on space–time coordinates and worldvolume fields simultaneously. Construction of the Batalin–Vilkovisky master action leads to a BRST operator under which the gauge-fixed action is BRST-exact; we discuss whether this implies that the chiral brane sigma model defines a topological field theory.

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SYMPLECTIC SPACE OR ORTHOGONAL SPACE OF n QUBITS

International Journal of Quantum Information ◽

10.1142/s0219749911008064 ◽

2011 ◽

Vol 09 (06) ◽

pp. 1449-1457

Author(s):

JIAN-WEI XU

Keyword(s):

Hilbert Space ◽

Orthogonal Group ◽

Symplectic Group ◽

Orthonormal Basis ◽

Mathematical Structure ◽

Symplectic Space ◽

Orthogonal Space ◽

Spin Flip

In Hilbert space of n qubits, we introduce symplectic space (n odd) or orthogonal space (n even) via the spin-flip operator. Under this mathematical structure we discuss some properties of n qubits, including homomorphically mapping local operations of n qubits into symplectic group or orthogonal group, and proving that the generalized "magic basis" is just the biorthonormal basis (i.e. the orthonormal basis of both Hilbert space and the orthogonal space). Finally, a demonstrated example is given to discuss the application in physics of this mathematical structure.

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Constructions of compressed sensing matrices based on the subspaces of symplectic space over finite fields

Journal of Algebra and Its Applications ◽

10.1142/s0219498816500250 ◽

2015 ◽

Vol 15 (02) ◽

pp. 1650025 ◽

Cited By ~ 6

Author(s):

You Gao ◽

Xiaojuan Zhang

Keyword(s):

Compressed Sensing ◽

Finite Fields ◽

Symplectic Geometry ◽

Symplectic Space ◽

The Matrix ◽

Compressed Sensing Matrices ◽

Sensing Matrices

The paper provides two constructions of compressed sensing matrices using the subspaces of symplectic space and singular symplectic space over finite fields. Then we compare the matrices constructed in this paper with the matrix constructed by DeVore, and compare the two matrices based on symplectic geometry and singular symplectic geometry over finite fields.

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