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SIAMDM
2008
105views more  SIAMDM 2008»
13 years 9 months ago
Average Spectra and Minimum Distances of Low-Density Parity-Check Codes over Abelian Groups
Ensembles of regular low-density parity-check codes over any finite Abelian group G are studied. The nonzero entries of the parity matrix are randomly chosen, independently and uni...
Giacomo Como, Fabio Fagnani
IJAC
2010
231views more  IJAC 2010»
13 years 7 months ago
Descriptive Complexity of Finite Abelian Groups
Title of dissertation: MODEL THEORY AND COMPLEXITY THEORY Walid Gomaa Doctor of Philosophy, 2007 Dissertation directed by: Professor William Gasarch Department of Computer Science...
Walid Gomaa
CORR
2008
Springer
141views Education» more  CORR 2008»
13 years 10 months ago
Distributed Source Coding using Abelian Group Codes
In this work, we consider a distributed source coding problem with a joint distortion criterion depending on the sources and the reconstruction. This includes as a special case the...
Dinesh Krithivasan, S. Sandeep Pradhan
FFA
2007
85views more  FFA 2007»
13 years 9 months ago
Ordinary abelian varieties having small embedding degree
Miyaji, Nakabayashi and Takano (MNT) gave families of group orders of ordinary elliptic curves with embedding degree suitable for pairing applications. In this paper we generalise ...
Steven D. Galbraith, James F. McKee, P. C. Valen&c...
STACS
2007
Springer
14 years 3 months ago
Hard Metrics from Cayley Graphs of Abelian Groups
: Hard metrics are the class of extremal metrics with respect to embedding into Euclidean spaces: they incur Ω(logn) multiplicative distortion, which is as large as it can possib...
Ilan Newman, Yuri Rabinovich