Title :
Counterexample to the generalized belfiore-solé secrecy function conjecture for l-modular lattices
Author :
Anne-Maria Ernvall-Hytönen;B.A. Sethuraman
Author_Institution :
Department of Mathematics and Statistics, 00014 University of Helsinki, Finland
fDate :
6/1/2015 12:00:00 AM
Abstract :
We show that the secrecy function conjecture that states that the maximum of the secrecy function of an l-modular lattice occurs at 1/√(l) is false, by proving that the 4-modular lattice C(4) = ℤ⊕√(2)ℤ ⊕ 2ℤ fails to satisfy this conjecture.
Keywords :
"Lattices","Zinc","Electronic mail","Encoding","Jacobian matrices"
Conference_Titel :
Information Theory (ISIT), 2015 IEEE International Symposium on
Electronic_ISBN :
2157-8117
DOI :
10.1109/ISIT.2015.7282899
