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Title: A classification of unimodular lattice wiretap codes in small dimensions
Authors: Oggier, Frederique
Lin, Fuchun
Keywords: DRNTU::Science::Mathematics
Issue Date: 2013
Source: Lin, F., & Oggier, F. (2013). A classification of unimodular lattice wiretap codes in small dimensions. IEEE Transactions on Information Theory, 59(6), 3295-3303.
Series/Report no.: IEEE Transactions on Information Theory
Abstract: Lattice coding over a Gaussian wiretap channel, where an eavesdropper listens to transmissions between a transmitter and a legitimate receiver, is considered. A new lattice invariant called the secrecy gain is used as a code design criterion for wiretap lattice codes since it was shown to characterize the confusion that a chosen lattice can cause at the eavesdropper: the higher the secrecy gain of the lattice, the more confusion. In this paper, secrecy gains of extremal odd unimodular lattices as well as unimodular lattices in dimension n, 16 ≤ n ≤ 23, are computed, covering the four extremal odd unimodular lattices and all the 111 nonextremal unimodular lattices (both odd and even), providing thus a classification of the best wiretap lattice codes coming from unimodular lattices in dimension n, 8 <; n ≤ 23. Finally, to permit lattice encoding via Construction A, the corresponding error correction codes of the best lattices are determined.
DOI: 10.1109/TIT.2013.2246814
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:SPMS Journal Articles

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