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CIE
2010
Springer
15 years 3 months ago
Computable Ordered Abelian Groups and Fields
Abstract. We present transformations of linearly ordered sets into ordered abelian groups and ordered fields. We study effective properties of the transformations. In particular, w...
Alexander G. Melnikov
TIT
2008
103views more  TIT 2008»
15 years 3 months ago
Improved Probabilistic Bounds on Stopping Redundancy
For a linear code , the stopping redundancy of is defined as the minimum number of check nodes in a Tanner graph T for such that the size of the smallest stopping set in T is equal...
Junsheng Han, Paul H. Siegel, Alexander Vardy
CORR
2007
Springer
132views Education» more  CORR 2007»
15 years 3 months ago
Probabilistic Analysis of Linear Programming Decoding
Abstract—We initiate the probabilistic analysis of linear programming (LP) decoding of low-density parity-check (LDPC) codes. Specifically, we show that for a random LDPC code e...
Constantinos Daskalakis, Alexandros G. Dimakis, Ri...
ICC
2008
IEEE
116views Communications» more  ICC 2008»
15 years 9 months ago
Nonlinear Turbo Codes for Higher-Order Modulations
— In 1982 Ungerboeck presented a set-partitioning design technique for trellis coded modulation (TCM). Although this technique directly assigns constellation points to the branch...
Miguel Griot, Andres I. Vila Casado, Richard D. We...
TCOM
2008
63views more  TCOM 2008»
15 years 3 months ago
A general construction of constrained parity-check codes for optical recording
This paper proposes a general and systematic code design method to efficiently combine constrained codes with parity-check (PC) codes for optical recording. The proposed constraine...
Kui Cai, Kees A. Schouhamer Immink