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» Linear Systems over Finite Abelian Groups

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COCO
2011
Springer

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Linear Systems over Finite Abelian Groups

13 years 10 months ago

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We consider a system of linear constraints over any ﬁnite Abelian group G of the following form: i(x1, . . . , xn) ≡ i,1x1 + · · · + i,nxn ∈ Ai for i = 1, . . . , t and e...

Arkadev Chattopadhyay, Shachar Lovett

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SIAMDM
2008

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Average Spectra and Minimum Distances of Low-Density Parity-Check Codes over Abelian Groups

14 years 10 months ago

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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

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CORR
2008
Springer

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Distributed Source Coding using Abelian Group Codes

14 years 10 months ago

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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

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FOCS
1996
IEEE

87views Theoretical Computer Science» more FOCS 1996»

An Efficient Algorithm for Constructing Minimal Trellises for Codes over Finite Abelian Groups

15 years 2 months ago

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Vijay V. Vazirani, Huzur Saran, B. Sundar Rajan

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