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ICC
2008
IEEE
247views Communications» more  ICC 2008»
14 years 1 months ago
Network Coding for Two-Way Relay Channels using Lattices
—In this paper, we propose a network coding using a lattice for the two-way relay channel with two nodes communicating bidirectionally through a relay, which we call modulo-andfo...
Ihn-Jung Baik, Sae-Young Chung
CRYPTO
2009
Springer
154views Cryptology» more  CRYPTO 2009»
14 years 1 months ago
On Bounded Distance Decoding, Unique Shortest Vectors, and the Minimum Distance Problem
We prove the equivalence, up to a small polynomial approximation factor n/ log n, of the lattice problems uSVP (unique Shortest Vector Problem), BDD (Bounded Distance Decoding) and...
Vadim Lyubashevsky, Daniele Micciancio
STOC
2005
ACM
198views Algorithms» more  STOC 2005»
14 years 7 months ago
On lattices, learning with errors, random linear codes, and cryptography
Our main result is a reduction from worst-case lattice problems such as GAPSVP and SIVP to a certain learning problem. This learning problem is a natural extension of the `learnin...
Oded Regev
CORR
2007
Springer
155views Education» more  CORR 2007»
13 years 7 months ago
Algebraic Distributed Differential Space-Time Codes with Low Decoding Complexity
—The differential encoding/decoding setup introduced by Kiran et al, Oggier-Hassibi and Jing-Jafarkhani for wireless relay networks that use codebooks consisting of unitary matri...
G. Susinder Rajan, B. Sundar Rajan
GLOBECOM
2009
IEEE
13 years 5 months ago
Cooperative Uplink of Two Mobile Stations with Network Coding Based on the WiMax LDPC Code
We consider the uplink of two mobile stations with the help of one common relay. Recently, joint network-channel coding based on LDPC codes was proposed for this setup where the ch...
Lena Chebli, Christoph Hausl, Georg Zeitler, Ralf ...