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Lattice Code Design for the Rayleigh Fading Wiretap Channel
Lattice Code Design Rayleigh Fading Wiretap Channel
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2011/2/22
It has been shown recently that coding for the Gaussian Wiretap Channel can be done with nested lattices. A fine lattice intended to the legitimate user must be designed as a
usual lattice code for t...
A note on non-existence of (8,4)-2 Burst error correcting code
Perfect codes Burst-error Parity-check matrix
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2010/9/26
This paper presents the non-existence of (8,4)-2 burst error correcting perfect code over GF(2). An (n,k) linear code is said to be perfect if for some positive integer b, it corrects all b and fewer ...
Localized endomorphisms in Kitaev's toric code on the plane
Localized endomorphisms Kitaev's toric code
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2011/2/22
We consider various aspects of Kitaev’s toric code model on a plane in the C-algebraic approach to quantum spin systems on a lattice. In par-ticular, we show that elementary excitations of the ground...
About a moduli space of elliptic curves and the Golay code G_{24}
moduli space elliptic curves Golay code G_{24}
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2011/1/20
We investigate algebraic structures related to triangle decompositions of a moduli space of complex tori given by the Veech curve T. We show that these structures produce the binary error correcting ...
Group-Decodable Space-Time Block Codes with Code Rate > 1
Group-Decodable Space-Time Block Codes math
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2010/11/19
High-rate space-time block codes (STBC with code rate > 1) in multi-input multi-output (MIMO) systems are able to provide both spatial multiplexing gain and diversity gain, but have high maximum like...