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» Algebraic Constructions of Space-Frequency Codes
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CORR
2007
Springer
84views Education» more  CORR 2007»
13 years 6 months ago
MMSE Optimal Algebraic Space-Time Codes
—Design of Space-Time Block Codes (STBCs) for Maximum Likelihood (ML) reception has been predominantly the main focus of researchers. However, the ML decoding complexity of STBCs...
G. Susinder Rajan, B. Sundar Rajan
ICC
2007
IEEE
127views Communications» more  ICC 2007»
14 years 1 months ago
Efficient Factorisation Algorithm for List Decoding Algebraic-Geometric and Reed-Solomon Codes
— The list decoding algorithm can outperform the conventional unique decoding algorithm by producing a list of candidate decoded messages. An efficient list decoding algorithm fo...
L. Chen, Rolando A. Carrasco, Martin Johnston, E. ...
CORR
2010
Springer
131views Education» more  CORR 2010»
13 years 5 months ago
Ideal forms of Coppersmith's theorem and Guruswami-Sudan list decoding
: We develop a framework for solving polynomial equations with size constraints on solutions. We obtain our results by showing how to apply a technique of Coppersmith for finding ...
Henry Cohn, Nadia Heninger
SODA
2008
ACM
95views Algorithms» more  SODA 2008»
13 years 8 months ago
Concatenated codes can achieve list-decoding capacity
We prove that binary linear concatenated codes with an outer algebraic code (specifically, a folded Reed-Solomon code) and independently and randomly chosen linear inner codes ach...
Venkatesan Guruswami, Atri Rudra
FFA
2007
59views more  FFA 2007»
13 years 6 months ago
Error-correcting codes on low rank surfaces
In this paper we construct some algebraic geometric error-correcting codes on surfaces whose Neron-Severi group has low rank. If the rank of the Neron-Severi group is 1, the inters...
Marcos Zarzar