Lattices from abelian extensions and error-correcting codes

DOI10.1216/rmj.2021.51.903zbMath1469.11226OpenAlexW3193231574MaRDI QIDQ1983219

José Othon Dantas Lopes, Trajano Pires da Nóbrega Neto, J. Carmelo Interlando, José Valter Lopes Nunes

Publication date: 10 September 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj.2021.51.903

zbMATH Keywords

quadratic formsabelian extensionscyclotomic fieldslattice packingerror-correcting codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Lattice packing and covering (number-theoretic aspects) (11H31) Minima of forms (11H50) Relations with coding theory (11H71)

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lattices from elliptic curves over finite fields
• The Magma algebra system. I: The user language
• A course in error-correcting codes.
• Post-quantum cryptography. 10th international conference, PQCrypto 2019, Chongqing, China, May 8--10, 2019. Revised selected papers
• The sphere packing problem in dimension 8
• The sphere packing problem in dimension \(24\)
• The integral trace form of cyclic extensions of odd prime degree
• An introduction to the geometry of numbers.
• Post-Quantum Cryptography
• Algebraic lattice constellations: bounds on performance
• New p-dimensional lattices from cyclic extensions
• Good lattice constellations for both Rayleigh fading and Gaussian channels

This page was built for publication: Lattices from abelian extensions and error-correcting codes