On the Secrecy Gain of Extremal Even l-modular Lattices

DOI10.1080/10586458.2017.1423249zbMath1504.11075OpenAlexW2786609189MaRDI QIDQ4972541

Jean-Claude Belfiore, Frédérique Oggier

Publication date: 25 November 2019

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2017.1423249

zbMATH Keywords

theta serieslatticessecrecy gain

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Theta series; Weil representation; theta correspondences (11F27)

Uses Software

• SageMath

Cites Work

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• 2- and 3-modular lattice wiretap codes in small dimensions
• The shadow theory of modular and unimodular lattices
• Atkin-Lehner eigenforms and strongly modular lattices
• Modular lattices from a variation of construction A over number fields
• Modular lattices in Euclidean spaces
• Lattice Codes for the Wiretap Gaussian Channel: Construction and Analysis
• Counterexample to the Generalized Belfiore–Solé Secrecy Function Conjecture for <inline-formula> <tex-math notation="LaTeX">$l$ </tex-math> </inline-formula>-Modular Lattices
• A Classification of Unimodular Lattice Wiretap Codes in Small Dimensions
• On a Conjecture by Belfiore and Solé on Some Lattices

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