Conjecture on the secrecy gain of formally unimodular lattices
Conjecture on the secrecy gain of formally unimodular lattices
Let be a formally unimodular lattice, with secrecy function , and denote its secrecy gain by . Formally unimodular secrecy-gain conjecture. The secrecy function of achieves its maximum at , namely
The conjecture concerns whether the symmetry point remains the maximizing point for formally unimodular lattices, extending the preceding question beyond unimodular lattices; the source gives no resolution status.
Sources & referencesView supporting material
Primary source
Maiara F. Bollauf, Hsuan-Yin Lin and Øyvind Ytrehus, “The Secrecy Gain of Formally Unimodular Lattices on the Gaussian Wiretap Channel”, arXiv:2111.01439 (2021).
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