On a conjecture by Belfiore and Solé on some lattices

2011/04/19 by Anne-Maria Ernvall-Hytönen, Ernvall-Hytönen, Anne-Maria · 1 citation
Computer Science · Mathematics · #Coding theory and cryptography #Cryptography and Data Security #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Mathematical Analysis and Transform Methods #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1104.3739

openalex publication_date 2011/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The point of this note is to prove that the secrecy function attains its maximum at y=1 on all known extremal even unimodular lattices. This is a special case of a conjecture by Belfiore and Solé. Further, we will give a very simple method to verify or disprove the conjecture on any given unimodular lattice.

Citations

• Unimodular Lattices for the Gaussian Wiretap Channel

Cited by

• Generalized Theta Series of a Lattice

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