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DCC
2010
IEEE
12 years 11 months ago
Parameter choices and a better bound on the list size in the Guruswami-Sudan algorithm for algebraic geometry codes
Abstract. Given an algebraic geometry code CL(D, P), the GuruswamiSudan algorithm produces a list of all codewords in CL(D, P) within a specified distance of a received word. The i...
Nathan Drake, Gretchen L. Matthews
CORR
2010
Springer
134views Education» more  CORR 2010»
13 years 4 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...
AAECC
1997
Springer
113views Algorithms» more  AAECC 1997»
13 years 9 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...