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

DOI10.1142/S1793557119500694zbMath1420.94115OpenAlexW2801290316MaRDI QIDQ5193469

Mahdieh Hakimi Poroch

Publication date: 10 September 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557119500694

zbMATH Keywords

boundssymplectic spacesubspace codesextended symplectic spacetotally isotropic

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Bounds on codes (94B65)

Related Items (1)

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

Cites Work

• Singular linear space and its applications
• Anzahl theorems in finite singular symplectic, unitary and orthogonal geometries
• Geometry of classical groups over finite fields and its applications
• Bounds on subspace codes based on subspaces of type \((m, 1)\) in singular linear space
• Sharpening the Gilbert-Varshamov bound in the finite case
• Coding for Errors and Erasures in Random Network Coding
• Network information flow
• Packing and Covering Properties of Subspace Codes for Error Control in Random Linear Network Coding
• Bounds on subspace codes based on totally isotropic subspaces in unitary spaces
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