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» Algebraic Constructions of Space-Frequency Codes
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75
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AAECC
1997
Springer
113views Algorithms» more  AAECC 1997»
15 years 1 months ago
Order Functions and Evaluation Codes
Based on the notion of an order function we construct and determine the parameters of a class of error-correcting evaluation codes. This class includes the one-point algebraic geo...
Tom Høholdt, Jacobus H. van Lint, Ruud Pell...
CASC
2010
Springer
155views Mathematics» more  CASC 2010»
14 years 8 months ago
Type Specialization in Aldor
Computer algebra in scientific computation squarely faces the dilemma of natural mathematical expression versus efficiency. While higher-order programming constructs and parametri...
Laurentiu Dragan, Stephen M. Watt
73
Voted
FOCS
2009
IEEE
15 years 4 months ago
Constructing Small-Bias Sets from Algebraic-Geometric Codes
We give an explicit construction of an -biased set over k bits of size O k 2 log(1/ ) 5/4 . This improves upon previous explicit constructions when is roughly (ignoring logarith
Avraham Ben-Aroya, Amnon Ta-Shma
DM
2008
93views more  DM 2008»
14 years 9 months ago
Nonbinary quantum error-correcting codes from algebraic curves
We give a new exposition and proof of a generalized CSS construction for nonbinary quantum error-correcting codes. Using this we construct nonbinary quantum stabilizer codes with ...
Jon-Lark Kim, Judy Walker
CORR
2010
Springer
134views Education» more  CORR 2010»
14 years 9 months ago
On the order bound for one-point AG codes
The order bound for the minimum distance of algebraic geometry codes is defined for the dual of one-point codes. A new bound for the minimum distance of linear codes, and for codes...
Olav Geil, Carlos Munuera, Diego Ruano, Fernando T...