Secrecy function conjecture for formally unimodular packings
Secrecy function conjecture for formally unimodular packings
Let be a formally unimodular packing, and let denote its secrecy function and its maximum value. Formally unimodular packing secrecy function conjecture. The secrecy function achieves its maximum at , i.e.,
This is the generalized packing version of the formally unimodular lattice conjecture. The source presents it as the basis for studying secrecy-optimal Construction A packings.
Sources & referencesView supporting material
Primary source
Maiara F. Bollauf, Hsuan-Yin Lin and Øyvind Ytrehus, “Formally Unimodular Packings for the Gaussian Wiretap Channel”, arXiv:2206.14171 (2023).
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