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» The Weights in MDS Codes
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FOCS
2002
IEEE
15 years 4 months ago
Linear Diophantine Equations over Polynomials and Soft Decoding of Reed-Solomon Codes
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
Michael Alekhnovich
CORR
2006
Springer
151views Education» more  CORR 2006»
14 years 12 months ago
High SNR Analysis for MIMO Broadcast Channels: Dirty Paper Coding vs. Linear Precoding
We study the MIMO broadcast channel and compare the achievable throughput for the optimal strategy of dirty paper coding to that achieved with sub-optimal and lower complexity lin...
Juyul Lee, Nihar Jindal
COMBINATORICS
2006
87views more  COMBINATORICS 2006»
14 years 12 months ago
Optimal Four-Dimensional Codes over GF(8)
We prove the nonexistence of several four-dimensional codes over GF(8) that meet the Griesmer bound. The proofs use geometric methods based on the analysis of the weight structure...
Chris Jones, Angela Matney, Harold N. Ward
AAECC
1997
Springer
99views Algorithms» more  AAECC 1997»
15 years 4 months ago
Extension Theorems for Linear Codes over Finite Rings
Various forms of the extension problem are discussed for linear codes de ned over nite rings. The extension theorem for symmetrized weight compositions over nite Frobenius rings is...
Jay A. Wood
COCOON
2005
Springer
15 years 5 months ago
Error-Set Codes and Related Objects
By considering a new metric, Nikov and Nikova defined the class of error-set correcting codes. These codes differ from the errorcorrecting codes in the sense that the minimum dis...
An Braeken, Ventzislav Nikov, Svetla Nikova